********** Variable ");
+ fprintf(ficresphtmfr, "\n
********** Variable ");
+ fprintf(ficlog, "\n#********** Variable ");
+ for (z1=1; z1<=cptcovs; z1++){
+ if(!FixedV[Tvaraff[z1]]){
+ printf( "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+ fprintf(ficresp, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+ fprintf(ficresphtm, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+ fprintf(ficresphtmfr, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+ fprintf(ficlog, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+ }else{
+ printf( "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+ fprintf(ficresp, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+ fprintf(ficresphtm, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+ fprintf(ficresphtmfr, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+ fprintf(ficlog, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+ }
+ }
+ printf( "**********\n#");
fprintf(ficresp, "**********\n#");
+ fprintf(ficresphtm, "**********
\n");
+ fprintf(ficresphtmfr, "**********
\n");
+ fprintf(ficlog, "**********\n");
+ }
+ /*
+ Printing means of quantitative variables if any
+ */
+ for (z1=1; z1<= nqfveff; z1++) {
+ fprintf(ficlog,"Mean of fixed quantitative variable V%d on %.3g (weighted) individuals sum=%f", ncovcol+z1, idq[z1], meanq[z1]);
+ fprintf(ficlog,", mean=%.3g\n",meanq[z1]/idq[z1]);
+ if(weightopt==1){
+ printf(" Weighted mean and standard deviation of");
+ fprintf(ficlog," Weighted mean and standard deviation of");
+ fprintf(ficresphtmfr," Weighted mean and standard deviation of");
+ }
+ /* mu = \frac{w x}{\sum w}
+ var = \frac{\sum w (x-mu)^2}{\sum w} = \frac{w x^2}{\sum w} - mu^2
+ */
+ printf(" fixed quantitative variable V%d on %.3g (weighted) representatives of the population : %8.5g (%8.5g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt(stdq[z1]/idq[z1]-meanq[z1]*meanq[z1]/idq[z1]/idq[z1]));
+ fprintf(ficlog," fixed quantitative variable V%d on %.3g (weighted) representatives of the population : %8.5g (%8.5g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt(stdq[z1]/idq[z1]-meanq[z1]*meanq[z1]/idq[z1]/idq[z1]));
+ fprintf(ficresphtmfr," fixed quantitative variable V%d on %.3g (weighted) representatives of the population : %8.5g (%8.5g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt(stdq[z1]/idq[z1]-meanq[z1]*meanq[z1]/idq[z1]/idq[z1])); + } + /* for (z1=1; z1<= nqtveff; z1++) { */ + /* for(m=1;m<=lastpass;m++){ */ + /* fprintf(ficresphtmfr,"V quantitative id %d, pass id=%d, mean=%f
\n", z1, m, meanqt[m][z1]); */ + /* } */ + /* } */ + + fprintf(ficresphtm,"
| Age | Prev(%d) | N(%d) | N | ",i,i); } - for(i=1; i<=nlstate;i++) - fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i); - fprintf(ficresp, "\n"); + if((cptcovn==0 && nj==1)|| nj==2 ) fprintf(ficresp, "\n"); + fprintf(ficresphtm, "\n"); - for(i=iagemin; i <= iagemax+3; i++){ - if(i==iagemax+3){ + /* Header of frequency table by age */ + fprintf(ficresphtmfr,"
|---|
| Age | "); + for(s2=-1; s2 <=nlstate+ndeath; s2++){ + for(m=-1; m <=nlstate+ndeath; m++){ + if(s2!=0 && m!=0) + fprintf(ficresphtmfr,"%d%d | ",s2,m); + } + } + fprintf(ficresphtmfr, "\n"); + + /* For each age */ + for(iage=iagemin; iage <= iagemax+3; iage++){ + fprintf(ficresphtm,"||||||||
|---|---|---|---|---|---|---|---|---|---|
| 0 | "); + }else if(iage==iagemax+2){ + fprintf(ficlog,"0"); + fprintf(ficresphtmfr,"|||||||||
| Unknown | "); + }else if(iage==iagemax+3){ fprintf(ficlog,"Total"); + fprintf(ficresphtmfr,"|||||||||
| Total | "); }else{ if(first==1){ first=0; printf("See log file for details...\n"); } - fprintf(ficlog,"Age %d", i); + fprintf(ficresphtmfr,"|||||||||
| %d | ",iage); + fprintf(ficlog,"Age %d", iage); } - for(jk=1; jk <=nlstate ; jk++){ - for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++) - pp[jk] += freq[jk][m][i]; + for(s1=1; s1 <=nlstate ; s1++){ + for(m=-1, pp[s1]=0; m <=nlstate+ndeath ; m++) + pp[s1] += freq[s1][m][iage]; } - for(jk=1; jk <=nlstate ; jk++){ + for(s1=1; s1 <=nlstate ; s1++){ for(m=-1, pos=0; m <=0 ; m++) - pos += freq[jk][m][i]; - if(pp[jk]>=1.e-10){ + pos += freq[s1][m][iage]; + if(pp[s1]>=1.e-10){ if(first==1){ - printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]); + printf(" %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]); } - fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]); + fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]); }else{ if(first==1) - printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk); - fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk); + printf(" %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1); + fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1); } } - - for(jk=1; jk <=nlstate ; jk++){ - for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++) - pp[jk] += freq[jk][m][i]; - } - for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){ - pos += pp[jk]; - posprop += prop[jk][i]; + + for(s1=1; s1 <=nlstate ; s1++){ + /* posprop[s1]=0; */ + for(m=0, pp[s1]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */ + pp[s1] += freq[s1][m][iage]; + } /* pp[s1] is the total number of transitions starting from state s1 and any ending status until this age */ + + for(s1=1,pos=0, pospropta=0.; s1 <=nlstate ; s1++){ + pos += pp[s1]; /* pos is the total number of transitions until this age */ + posprop[s1] += prop[s1][iage]; /* prop is the number of transitions from a live state + from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */ + pospropta += prop[s1][iage]; /* prop is the number of transitions from a live state + from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */ + } + + /* Writing ficresp */ + if(cptcovn==0 && nj==1){ /* no covariate and first pass */ + if( iage <= iagemax){ + fprintf(ficresp," %d",iage); + } + }else if( nj==2){ + if( iage <= iagemax){ + fprintf(ficresp," %d",iage); + for (z1=1; z1<=cptcovn; z1++) fprintf(ficresp, " %d %d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,Tvaraff[z1])]); + } } - for(jk=1; jk <=nlstate ; jk++){ + for(s1=1; s1 <=nlstate ; s1++){ if(pos>=1.e-5){ if(first==1) - printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos); - fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos); + printf(" %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos); + fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos); }else{ if(first==1) - printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk); - fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk); + printf(" %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1); + fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1); } - if( i <= iagemax){ + if( iage <= iagemax){ if(pos>=1.e-5){ - fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop); - /*probs[i][jk][j1]= pp[jk]/pos;*/ - /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/ + if(cptcovn==0 && nj==1){ /* no covariate and first pass */ + fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta); + }else if( nj==2){ + fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta); + } + fprintf(ficresphtm,"%d | %.5f | %.0f | %.0f | ",iage,prop[s1][iage]/pospropta, prop[s1][iage],pospropta); + /*probs[iage][s1][j1]= pp[s1]/pos;*/ + /*printf("\niage=%d s1=%d j1=%d %.5f %.0f %.0f %f",iage,s1,j1,pp[s1]/pos, pp[s1],pos,probs[iage][s1][j1]);*/ + } else{ + if((cptcovn==0 && nj==1)|| nj==2 ) fprintf(ficresp," NaNq %.0f %.0f",prop[s1][iage],pospropta); + fprintf(ficresphtm,"%d | NaNq | %.0f | %.0f | ",iage, prop[s1][iage],pospropta); } - else - fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop); } - } - - for(jk=-1; jk <=nlstate+ndeath; jk++) - for(m=-1; m <=nlstate+ndeath; m++) - if(freq[jk][m][i] !=0 ) { - if(first==1) - printf(" %d%d=%.0f",jk,m,freq[jk][m][i]); - fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]); + pospropt[s1] +=posprop[s1]; + } /* end loop s1 */ + /* pospropt=0.; */ + for(s1=-1; s1 <=nlstate+ndeath; s1++){ + for(m=-1; m <=nlstate+ndeath; m++){ + if(freq[s1][m][iage] !=0 ) { /* minimizing output */ + if(first==1){ + printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); + } + /* printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); */ + fprintf(ficlog," %d%d=%.0f",s1,m,freq[s1][m][iage]); } - if(i <= iagemax) - fprintf(ficresp,"\n"); + if(s1!=0 && m!=0) + fprintf(ficresphtmfr,"%.0f | ",freq[s1][m][iage]); + } + } /* end loop s1 */ + posproptt=0.; + for(s1=1; s1 <=nlstate; s1++){ + posproptt += pospropt[s1]; + } + fprintf(ficresphtmfr,"
| Tot | "); + for(s1=1; s1 <=nlstate ; s1++){ + if(posproptt < 1.e-5){ + fprintf(ficresphtm,"Nanq | %.0f | %.0f | ",pospropt[s1],posproptt); + }else{ + fprintf(ficresphtm,"%.5f | %.0f | %.0f | ",pospropt[s1]/posproptt,pospropt[s1],posproptt); + } + } + fprintf(ficresphtm,"
This combination (%d) is not valid and no result will be produced
",j1); + fprintf(ficresphtmfr,"\nThis combination (%d) is not valid and no result will be produced
",j1); + fprintf(ficlog,"# This combination (%d) is not valid and no result will be produced\n",j1); + printf("# This combination (%d) is not valid and no result will be produced\n",j1); + invalidvarcomb[j1]=1; + }else{ + fprintf(ficresphtm,"\nThis combination (%d) is valid and result will be produced.
",j1); + invalidvarcomb[j1]=0; + } + fprintf(ficresphtmfr,"\n"); + fprintf(ficlog,"\n"); + if(j!=0){ + printf("#Freqsummary: Starting values for combination j1=%d:\n", j1); + for(i=1,s1=1; i <=nlstate; i++){ + for(k=1; k <=(nlstate+ndeath); k++){ + if (k != i) { + for(jj=1; jj <=ncovmodel; jj++){ /* For counting s1 */ + if(jj==1){ /* Constant case (in fact cste + age) */ + if(j1==1){ /* All dummy covariates to zero */ + freq[i][k][iagemax+4]=freq[i][k][iagemax+3]; /* Stores case 0 0 0 */ + freq[i][i][iagemax+4]=freq[i][i][iagemax+3]; /* Stores case 0 0 0 */ + printf("%d%d ",i,k); + fprintf(ficlog,"%d%d ",i,k); + printf("%12.7f ln(%.0f/%.0f)= %f, OR=%f sd=%f \n",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]),freq[i][k][iagemax+3]/freq[i][i][iagemax+3], sqrt(1/freq[i][k][iagemax+3]+1/freq[i][i][iagemax+3])); + fprintf(ficlog,"%12.7f ln(%.0f/%.0f)= %12.7f \n",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3])); + pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]); + } + }else if((j1==1) && (jj==2 || nagesqr==1)){ /* age or age*age parameter without covariate V4*age (to be done later) */ + for(iage=iagemin; iage <= iagemax+3; iage++){ + x[iage]= (double)iage; + y[iage]= log(freq[i][k][iage]/freq[i][i][iage]); + /* printf("i=%d, k=%d, s1=%d, j1=%d, jj=%d, y[%d]=%f\n",i,k,s1,j1,jj, iage, y[iage]); */ + } + /* Some are not finite, but linreg will ignore these ages */ + no=0; + linreg(iagemin,iagemax,&no,x,y,&a,&b,&r, &sa, &sb ); /* y= a+b*x with standard errors */ + pstart[s1]=b; + pstart[s1-1]=a; + }else if( j1!=1 && (j1==2 || (log(j1-1.)/log(2.)-(int)(log(j1-1.)/log(2.))) <0.010) && ( TvarsDind[(int)(log(j1-1.)/log(2.))+1]+2+nagesqr == jj) && Dummy[jj-2-nagesqr]==0){ /* We want only if the position, jj, in model corresponds to unique covariate equal to 1 in j1 combination */ + printf("j1=%d, jj=%d, (int)(log(j1-1.)/log(2.))+1=%d, TvarsDind[(int)(log(j1-1.)/log(2.))+1]=%d\n",j1, jj,(int)(log(j1-1.)/log(2.))+1,TvarsDind[(int)(log(j1-1.)/log(2.))+1]); + printf("j1=%d, jj=%d, (log(j1-1.)/log(2.))+1=%f, TvarsDind[(int)(log(j1-1.)/log(2.))+1]=%d\n",j1, jj,(log(j1-1.)/log(2.))+1,TvarsDind[(int)(log(j1-1.)/log(2.))+1]); + pstart[s1]= log((freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4])); + printf("%d%d ",i,k); + fprintf(ficlog,"%d%d ",i,k); + printf("s1=%d,i=%d,k=%d,p[%d]=%12.7f ln((%.0f/%.0f)/(%.0f/%.0f))= %f, OR=%f sd=%f \n",s1,i,k,s1,p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3],freq[i][k][iagemax+4],freq[i][i][iagemax+4], log((freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4])),(freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4]), sqrt(1/freq[i][k][iagemax+3]+1/freq[i][i][iagemax+3]+1/freq[i][k][iagemax+4]+1/freq[i][i][iagemax+4])); + }else{ /* Other cases, like quantitative fixed or varying covariates */ + ; + } + /* printf("%12.7f )", param[i][jj][k]); */ + /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */ + s1++; + } /* end jj */ + } /* end k!= i */ + } /* end k */ + } /* end i, s1 */ + } /* end j !=0 */ + } /* end selected combination of covariate j1 */ + if(j==0){ /* We can estimate starting values from the occurences in each case */ + printf("#Freqsummary: Starting values for the constants:\n"); + fprintf(ficlog,"\n"); + for(i=1,s1=1; i <=nlstate; i++){ + for(k=1; k <=(nlstate+ndeath); k++){ + if (k != i) { + printf("%d%d ",i,k); + fprintf(ficlog,"%d%d ",i,k); + for(jj=1; jj <=ncovmodel; jj++){ + pstart[s1]=p[s1]; /* Setting pstart to p values by default */ + if(jj==1){ /* Age has to be done */ + pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]); + printf("%12.7f ln(%.0f/%.0f)= %12.7f ",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3])); + fprintf(ficlog,"%12.7f ln(%.0f/%.0f)= %12.7f ",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3])); + } + /* printf("%12.7f )", param[i][jj][k]); */ + /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */ + s1++; + } + printf("\n"); + fprintf(ficlog,"\n"); + } + } + } /* end of state i */ + printf("#Freqsummary\n"); + fprintf(ficlog,"\n"); + for(s1=-1; s1 <=nlstate+ndeath; s1++){ + for(s2=-1; s2 <=nlstate+ndeath; s2++){ + /* param[i]|j][k]= freq[s1][s2][iagemax+3] */ + printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); + fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); + /* if(freq[s1][s2][iage] !=0 ) { /\* minimizing output *\/ */ + /* printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */ + /* fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */ + /* } */ + } + } /* end loop s1 */ + + printf("\n"); + fprintf(ficlog,"\n"); + } /* end j=0 */ + } /* end j */ + + if(mle == -2){ /* We want to use these values as starting values */ + for(i=1, jk=1; i <=nlstate; i++){ + for(j=1; j <=nlstate+ndeath; j++){ + if(j!=i){ + /*ca[0]= k+'a'-1;ca[1]='\0';*/ + printf("%1d%1d",i,j); + fprintf(ficparo,"%1d%1d",i,j); + for(k=1; k<=ncovmodel;k++){ + /* printf(" %lf",param[i][j][k]); */ + /* fprintf(ficparo," %lf",param[i][j][k]); */ + p[jk]=pstart[jk]; + printf(" %f ",pstart[jk]); + fprintf(ficparo," %f ",pstart[jk]); + jk++; + } + printf("\n"); + fprintf(ficparo,"\n"); + } } } - } + } /* end mle=-2 */ dateintmean=dateintsum/k2cpt; - + date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); + fclose(ficresp); - free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3); + fclose(ficresphtm); + fclose(ficresphtmfr); + free_vector(idq,1,nqfveff); + free_vector(meanq,1,nqfveff); + free_vector(stdq,1,nqfveff); + free_matrix(meanqt,1,lastpass,1,nqtveff); + free_vector(x, iagemin-AGEMARGE, iagemax+4+AGEMARGE); + free_vector(y, iagemin-AGEMARGE, iagemax+4+AGEMARGE); + free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+4+AGEMARGE); + free_vector(pospropt,1,nlstate); + free_vector(posprop,1,nlstate); + free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+4+AGEMARGE); free_vector(pp,1,nlstate); - free_matrix(prop,1,nlstate,iagemin, iagemax+3); - /* End of Freq */ + /* End of freqsummary */ +} + +/* Simple linear regression */ +int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) { + + /* y=a+bx regression */ + double sumx = 0.0; /* sum of x */ + double sumx2 = 0.0; /* sum of x**2 */ + double sumxy = 0.0; /* sum of x * y */ + double sumy = 0.0; /* sum of y */ + double sumy2 = 0.0; /* sum of y**2 */ + double sume2 = 0.0; /* sum of square or residuals */ + double yhat; + + double denom=0; + int i; + int ne=*no; + + for ( i=ifi, ne=0;i<=ila;i++) { + if(!isfinite(x[i]) || !isfinite(y[i])){ + /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */ + continue; + } + ne=ne+1; + sumx += x[i]; + sumx2 += x[i]*x[i]; + sumxy += x[i] * y[i]; + sumy += y[i]; + sumy2 += y[i]*y[i]; + denom = (ne * sumx2 - sumx*sumx); + /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */ + } + + denom = (ne * sumx2 - sumx*sumx); + if (denom == 0) { + // vertical, slope m is infinity + *b = INFINITY; + *a = 0; + if (r) *r = 0; + return 1; + } + + *b = (ne * sumxy - sumx * sumy) / denom; + *a = (sumy * sumx2 - sumx * sumxy) / denom; + if (r!=NULL) { + *r = (sumxy - sumx * sumy / ne) / /* compute correlation coeff */ + sqrt((sumx2 - sumx*sumx/ne) * + (sumy2 - sumy*sumy/ne)); + } + *no=ne; + for ( i=ifi, ne=0;i<=ila;i++) { + if(!isfinite(x[i]) || !isfinite(y[i])){ + /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */ + continue; + } + ne=ne+1; + yhat = y[i] - *a -*b* x[i]; + sume2 += yhat * yhat ; + + denom = (ne * sumx2 - sumx*sumx); + /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */ + } + *sb = sqrt(sume2/(double)(ne-2)/(sumx2 - sumx * sumx /(double)ne)); + *sa= *sb * sqrt(sumx2/ne); + + return 0; } /************ Prevalence ********************/ @@ -2015,134 +5457,243 @@ void prevalence(double ***probs, double We still use firstpass and lastpass as another selection. */ - int i, m, jk, k1, i1, j1, bool, z1,z2,j; - double ***freq; /* Frequencies */ - double *pp, **prop; - double pos,posprop; + int i, m, jk, j1, bool, z1,j, iv; + int mi; /* Effective wave */ + int iage; + double agebegin, ageend; + + double **prop; + double posprop; double y2; /* in fractional years */ int iagemin, iagemax; + int first; /** to stop verbosity which is redirected to log file */ iagemin= (int) agemin; iagemax= (int) agemax; /*pp=vector(1,nlstate);*/ - prop=matrix(1,nlstate,iagemin,iagemax+3); + prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); /* freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/ j1=0; - j=cptcoveff; + /*j=cptcoveff;*/ if (cptcovn<1) {j=1;ncodemax[1]=1;} - for(k1=1; k1<=j;k1++){ - for(i1=1; i1<=ncodemax[k1];i1++){ - j1++; - - for (i=1; i<=nlstate; i++) - for(m=iagemin; m <= iagemax+3; m++) - prop[i][m]=0.0; - - for (i=1; i<=imx; i++) { /* Each individual */ - bool=1; - if (cptcovn>0) { - for (z1=1; z1<=cptcoveff; z1++) - if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) + first=0; + for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */ + for (i=1; i<=nlstate; i++) + for(iage=iagemin-AGEMARGE; iage <= iagemax+4+AGEMARGE; iage++) + prop[i][iage]=0.0; + printf("Prevalence combination of varying and fixed dummies %d\n",j1); + /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */ + fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1); + + for (i=1; i<=imx; i++) { /* Each individual */ + bool=1; + /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */ + for(mi=1; miComputing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)
%s
\n",digitp); -/* } */ - varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); - fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n# (weighted average of eij where weights are the stable prevalence in health states i\n"); - fprintf(ficresvij,"# Age"); - for(i=1; i<=nlstate;i++) - for(j=1; j<=nlstate;j++) - fprintf(ficresvij," Cov(e%1d, e%1d)",i,j); - fprintf(ficresvij,"\n"); + double eip, vip; + varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage); xp=vector(1,npar); - dnewm=matrix(1,nlstate,1,npar); - doldm=matrix(1,nlstate,1,nlstate); - dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar); - doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); + xm=vector(1,npar); + dnewm=matrix(1,nlstate*nlstate,1,npar); + doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate); + + pstamp(ficresstdeij); + fprintf(ficresstdeij,"# Health expectancies with standard errors\n"); + fprintf(ficresstdeij,"# Age"); + for(i=1; i<=nlstate;i++){ + for(j=1; j<=nlstate;j++) + fprintf(ficresstdeij," e%1d%1d (SE)",i,j); + fprintf(ficresstdeij," e%1d. ",i); + } + fprintf(ficresstdeij,"\n"); - gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath); - gpp=vector(nlstate+1,nlstate+ndeath); - gmp=vector(nlstate+1,nlstate+ndeath); - trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/ + pstamp(ficrescveij); + fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n"); + fprintf(ficrescveij,"# Age"); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate;j++){ + cptj= (j-1)*nlstate+i; + for(i2=1; i2<=nlstate;i2++) + for(j2=1; j2<=nlstate;j2++){ + cptj2= (j2-1)*nlstate+i2; + if(cptj2 <= cptj) + fprintf(ficrescveij," %1d%1d,%1d%1d",i,j,i2,j2); + } + } + fprintf(ficrescveij,"\n"); if(estepm < stepm){ printf ("Problem %d lower than %d\n",estepm, stepm); } else hstepm=estepm; + /* We compute the life expectancy from trapezoids spaced every estepm months + * This is mainly to measure the difference between two models: for example + * if stepm=24 months pijx are given only every 2 years and by summing them + * we are calculating an estimate of the Life Expectancy assuming a linear + * progression in between and thus overestimating or underestimating according + * to the curvature of the survival function. If, for the same date, we + * estimate the model with stepm=1 month, we can keep estepm to 24 months + * to compare the new estimate of Life expectancy with the same linear + * hypothesis. A more precise result, taking into account a more precise + * curvature will be obtained if estepm is as small as stepm. */ + /* For example we decided to compute the life expectancy with the smallest unit */ /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. nhstepm is the number of hstepm from age to agelim nstepm is the number of stepm from age to agelin. Look at hpijx to understand the reason of that which relies in memory size - and note for a fixed period like k years */ + and note for a fixed period like estepm months */ /* We decided (b) to get a life expectancy respecting the most precise curvature of the survival function given by stepm (the optimization length). Unfortunately it - means that if the survival funtion is printed every two years of age and if + means that if the survival funtion is printed only each two years of age and if you sum them up and add 1 year (area under the trapezoids) you won't get the same results. So we changed our mind and took the option of the best precision. */ hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ - agelim = AGESUP; - for (age=bage; age<=fage; age ++){ /* If stepm=6 months */ - nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ - nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */ - p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - gradg=ma3x(0,nhstepm,1,npar,1,nlstate); - gp=matrix(0,nhstepm,1,nlstate); - gm=matrix(0,nhstepm,1,nlstate); + /* If stepm=6 months */ + /* nhstepm age range expressed in number of stepm */ + agelim=AGESUP; + nstepm=(int) rint((agelim-bage)*YEARM/stepm); + /* Typically if 20 years nstepm = 20*12/6=40 stepm */ + /* if (stepm >= YEARM) hstepm=1;*/ + nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */ + + p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate); + trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar); + gp=matrix(0,nhstepm,1,nlstate*nlstate); + gm=matrix(0,nhstepm,1,nlstate*nlstate); + for (age=bage; age<=fage; age ++){ + nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */ + /* Typically if 20 years nstepm = 20*12/6=40 stepm */ + /* if (stepm >= YEARM) hstepm=1;*/ + nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */ + + /* If stepm=6 months */ + /* Computed by stepm unit matrices, product of hstepma matrices, stored + in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */ + + hf=hstepm*stepm/YEARM; /* Duration of hstepm expressed in year unit. */ + + /* Computing Variances of health expectancies */ + /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to + decrease memory allocation */ for(theta=1; theta <=npar; theta++){ - for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/ + for(i=1; i<=npar; i++){ xp[i] = x[i] + (i==theta ?delti[theta]:0); + xm[i] = x[i] - (i==theta ?delti[theta]:0); } - hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij); - prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij); - - if (popbased==1) { - if(mobilav ==0){ - for(i=1; i<=nlstate;i++) - prlim[i][i]=probs[(int)age][i][ij]; - }else{ /* mobilav */ - for(i=1; i<=nlstate;i++) - prlim[i][i]=mobaverage[(int)age][i][ij]; - } - } - - for(j=1; j<= nlstate; j++){ - for(h=0; h<=nhstepm; h++){ - for(i=1, gp[h][j]=0.;i<=nlstate;i++) - gp[h][j] += prlim[i][i]*p3mat[i][j][h]; - } - } - /* This for computing probability of death (h=1 means - computed over hstepm matrices product = hstepm*stepm months) - as a weighted average of prlim. - */ - for(j=nlstate+1;j<=nlstate+ndeath;j++){ - for(i=1,gpp[j]=0.; i<= nlstate; i++) - gpp[j] += prlim[i][i]*p3mat[i][j][1]; - } - /* end probability of death */ - - for(i=1; i<=npar; i++) /* Computes gradient x - delta */ - xp[i] = x[i] - (i==theta ?delti[theta]:0); - hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij); - prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij); - - if (popbased==1) { - if(mobilav ==0){ - for(i=1; i<=nlstate;i++) - prlim[i][i]=probs[(int)age][i][ij]; - }else{ /* mobilav */ - for(i=1; i<=nlstate;i++) - prlim[i][i]=mobaverage[(int)age][i][ij]; - } - } - + hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij, nres); + hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij, nres); + for(j=1; j<= nlstate; j++){ - for(h=0; h<=nhstepm; h++){ - for(i=1, gm[h][j]=0.;i<=nlstate;i++) - gm[h][j] += prlim[i][i]*p3mat[i][j][h]; + for(i=1; i<=nlstate; i++){ + for(h=0; h<=nhstepm-1; h++){ + gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.; + gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.; + } } } - /* This for computing probability of death (h=1 means - computed over hstepm matrices product = hstepm*stepm months) - as a weighted average of prlim. - */ - for(j=nlstate+1;j<=nlstate+ndeath;j++){ - for(i=1,gmp[j]=0.; i<= nlstate; i++) - gmp[j] += prlim[i][i]*p3mat[i][j][1]; - } - /* end probability of death */ - - for(j=1; j<= nlstate; j++) /* vareij */ - for(h=0; h<=nhstepm; h++){ - gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta]; + + for(ij=1; ij<= nlstate*nlstate; ij++) + for(h=0; h<=nhstepm-1; h++){ + gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta]; } - - for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */ - gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta]; - } - - } /* End theta */ - - trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */ - - for(h=0; h<=nhstepm; h++) /* veij */ - for(j=1; j<=nlstate;j++) + }/* End theta */ + + + for(h=0; h<=nhstepm-1; h++) + for(j=1; j<=nlstate*nlstate;j++) for(theta=1; theta <=npar; theta++) trgradg[h][j][theta]=gradg[h][theta][j]; - - for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */ - for(theta=1; theta <=npar; theta++) - trgradgp[j][theta]=gradgp[theta][j]; - - - hf=hstepm*stepm/YEARM; /* Duration of hstepm expressed in year unit. */ - for(i=1;i<=nlstate;i++) - for(j=1;j<=nlstate;j++) - vareij[i][j][(int)age] =0.; - - for(h=0;h<=nhstepm;h++){ - for(k=0;k<=nhstepm;k++){ - matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov); - matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]); - for(i=1;i<=nlstate;i++) - for(j=1;j<=nlstate;j++) - vareij[i][j][(int)age] += doldm[i][j]*hf*hf; - } - } - - /* pptj */ - matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov); - matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp); - for(j=nlstate+1;j<=nlstate+ndeath;j++) - for(i=nlstate+1;i<=nlstate+ndeath;i++) - varppt[j][i]=doldmp[j][i]; - /* end ppptj */ - /* x centered again */ - hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij); - prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij); - - if (popbased==1) { - if(mobilav ==0){ - for(i=1; i<=nlstate;i++) - prlim[i][i]=probs[(int)age][i][ij]; - }else{ /* mobilav */ - for(i=1; i<=nlstate;i++) - prlim[i][i]=mobaverage[(int)age][i][ij]; + + + for(ij=1;ij<=nlstate*nlstate;ij++) + for(ji=1;ji<=nlstate*nlstate;ji++) + varhe[ij][ji][(int)age] =0.; + + printf("%d|",(int)age);fflush(stdout); + fprintf(ficlog,"%d|",(int)age);fflush(ficlog); + for(h=0;h<=nhstepm-1;h++){ + for(k=0;k<=nhstepm-1;k++){ + matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]); + for(ij=1;ij<=nlstate*nlstate;ij++) + for(ji=1;ji<=nlstate*nlstate;ji++) + varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf; } } - - /* This for computing probability of death (h=1 means - computed over hstepm (estepm) matrices product = hstepm*stepm months) - as a weighted average of prlim. - */ - for(j=nlstate+1;j<=nlstate+ndeath;j++){ - for(i=1,gmp[j]=0.;i<= nlstate; i++) - gmp[j] += prlim[i][i]*p3mat[i][j][1]; - } - /* end probability of death */ - - fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij); - for(j=nlstate+1; j<=(nlstate+ndeath);j++){ - fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j])); - for(i=1; i<=nlstate;i++){ - fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]); - } - } - fprintf(ficresprobmorprev,"\n"); + /* if((int)age ==50){ */ + /* printf(" age=%d cij=%d nres=%d varhe[%d][%d]=%f ",(int)age, cij, nres, 1,2,varhe[1][2]); */ + /* } */ + /* Computing expectancies */ + hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij,nres); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate;j++) + for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){ + eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf; + + /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/ + + } - fprintf(ficresvij,"%.0f ",age ); + /* Standard deviation of expectancies ij */ + fprintf(ficresstdeij,"%3.0f",age ); + for(i=1; i<=nlstate;i++){ + eip=0.; + vip=0.; + for(j=1; j<=nlstate;j++){ + eip += eij[i][j][(int)age]; + for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */ + vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age]; + fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) ); + } + fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip)); + } + fprintf(ficresstdeij,"\n"); + + /* Variance of expectancies ij */ + fprintf(ficrescveij,"%3.0f",age ); for(i=1; i<=nlstate;i++) for(j=1; j<=nlstate;j++){ - fprintf(ficresvij," %.4f", vareij[i][j][(int)age]); + cptj= (j-1)*nlstate+i; + for(i2=1; i2<=nlstate;i2++) + for(j2=1; j2<=nlstate;j2++){ + cptj2= (j2-1)*nlstate+i2; + if(cptj2 <= cptj) + fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]); + } } - fprintf(ficresvij,"\n"); - free_matrix(gp,0,nhstepm,1,nlstate); - free_matrix(gm,0,nhstepm,1,nlstate); - free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate); - free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar); - free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - } /* End age */ - free_vector(gpp,nlstate+1,nlstate+ndeath); - free_vector(gmp,nlstate+1,nlstate+ndeath); - free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath); - free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/ - fprintf(ficgp,"\nset noparametric;set nolabel; set ter png small;set size 0.65, 0.65"); - /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */ - fprintf(ficgp,"\n set log y; set nolog x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";"); -/* fprintf(ficgp,"\n plot \"%s\" u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */ -/* fprintf(ficgp,"\n replot \"%s\" u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */ -/* fprintf(ficgp,"\n replot \"%s\" u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */ - fprintf(ficgp,"\n plot \"%s\" u 1:($3) not w l 1 ",subdirf(fileresprobmorprev)); - fprintf(ficgp,"\n replot \"%s\" u 1:(($3+1.96*$4)) t \"95\%% interval\" w l 2 ",subdirf(fileresprobmorprev)); - fprintf(ficgp,"\n replot \"%s\" u 1:(($3-1.96*$4)) not w l 2 ",subdirf(fileresprobmorprev)); - fprintf(fichtm,"\n
File (multiple files are possible if covariates are present): %s\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev)); - fprintf(fichtm,"\n
Probability is computed over estepm=%d months.
![](\"%s%s.png\")
\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit); - /* fprintf(fichtm,"\n
Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year
![](\"varmuptjgr%s%s.png\")
\n", stepm,YEARM,digitp,digit); -*/ -/* fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */ - fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit); - + fprintf(ficrescveij,"\n"); + + } + free_matrix(gm,0,nhstepm,1,nlstate*nlstate); + free_matrix(gp,0,nhstepm,1,nlstate*nlstate); + free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate); + free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar); + free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + printf("\n"); + fprintf(ficlog,"\n"); + + free_vector(xm,1,npar); free_vector(xp,1,npar); - free_matrix(doldm,1,nlstate,1,nlstate); - free_matrix(dnewm,1,nlstate,1,npar); - free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); - free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar); - free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); - if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); - fclose(ficresprobmorprev); - fflush(ficgp); - fflush(fichtm); -} /* end varevsij */ + free_matrix(dnewm,1,nlstate*nlstate,1,npar); + free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate); + free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage); +} + +/************ Variance ******************/ + void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[], int nres) + { + /** Variance of health expectancies + * double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl); + * double **newm; + * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav) + */ + + /* int movingaverage(); */ + double **dnewm,**doldm; + double **dnewmp,**doldmp; + int i, j, nhstepm, hstepm, h, nstepm ; + int first=0; + int k; + double *xp; + double **gp, **gm; /**< for var eij */ + double ***gradg, ***trgradg; /**< for var eij */ + double **gradgp, **trgradgp; /**< for var p point j */ + double *gpp, *gmp; /**< for var p point j */ + double **varppt; /**< for var p point j nlstate to nlstate+ndeath */ + double ***p3mat; + double age,agelim, hf; + /* double ***mobaverage; */ + int theta; + char digit[4]; + char digitp[25]; + + char fileresprobmorprev[FILENAMELENGTH]; + + if(popbased==1){ + if(mobilav!=0) + strcpy(digitp,"-POPULBASED-MOBILAV_"); + else strcpy(digitp,"-POPULBASED-NOMOBIL_"); + } + else + strcpy(digitp,"-STABLBASED_"); + + /* if (mobilav!=0) { */ + /* mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */ + /* if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */ + /* fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */ + /* printf(" Error in movingaverage mobilav=%d\n",mobilav); */ + /* } */ + /* } */ + + strcpy(fileresprobmorprev,"PRMORPREV-"); + sprintf(digit,"%-d",ij); + /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/ + strcat(fileresprobmorprev,digit); /* Tvar to be done */ + strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */ + strcat(fileresprobmorprev,fileresu); + if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) { + printf("Problem with resultfile: %s\n", fileresprobmorprev); + fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev); + } + printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev); + fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev); + pstamp(ficresprobmorprev); + fprintf(ficresprobmorprev,"# probabilities of dying before estepm=%d months for people of exact age and weighted probabilities w1*p1j+w2*p2j+... stand dev in()\n",estepm); + fprintf(ficresprobmorprev,"# Selected quantitative variables and dummies"); + for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */ + fprintf(ficresprobmorprev," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]); + } + for(j=1;j<=cptcoveff;j++) + fprintf(ficresprobmorprev,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(ij,Tvaraff[j])]); + fprintf(ficresprobmorprev,"\n"); + + fprintf(ficresprobmorprev,"# Age cov=%-d",ij); + for(j=nlstate+1; j<=(nlstate+ndeath);j++){ + fprintf(ficresprobmorprev," p.%-d SE",j); + for(i=1; i<=nlstate;i++) + fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j); + } + fprintf(ficresprobmorprev,"\n"); + + fprintf(ficgp,"\n# Routine varevsij"); + fprintf(ficgp,"\nunset title \n"); + /* fprintf(fichtm, "#Local time at start: %s", strstart);*/ + fprintf(fichtm,"\n
Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)
%s
\n",digitp); + + varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); + pstamp(ficresvij); + fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n# (weighted average of eij where weights are "); + if(popbased==1) + fprintf(ficresvij,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d\n",mobilav); + else + fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n"); + fprintf(ficresvij,"# Age"); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate;j++) + fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j); + fprintf(ficresvij,"\n"); + + xp=vector(1,npar); + dnewm=matrix(1,nlstate,1,npar); + doldm=matrix(1,nlstate,1,nlstate); + dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar); + doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); + + gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath); + gpp=vector(nlstate+1,nlstate+ndeath); + gmp=vector(nlstate+1,nlstate+ndeath); + trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/ + + if(estepm < stepm){ + printf ("Problem %d lower than %d\n",estepm, stepm); + } + else hstepm=estepm; + /* For example we decided to compute the life expectancy with the smallest unit */ + /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. + nhstepm is the number of hstepm from age to agelim + nstepm is the number of stepm from age to agelim. + Look at function hpijx to understand why because of memory size limitations, + we decided (b) to get a life expectancy respecting the most precise curvature of the + survival function given by stepm (the optimization length). Unfortunately it + means that if the survival funtion is printed every two years of age and if + you sum them up and add 1 year (area under the trapezoids) you won't get the same + results. So we changed our mind and took the option of the best precision. + */ + hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ + agelim = AGESUP; + for (age=bage; age<=fage; age ++){ /* If stepm=6 months */ + nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ + nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */ + p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + gradg=ma3x(0,nhstepm,1,npar,1,nlstate); + gp=matrix(0,nhstepm,1,nlstate); + gm=matrix(0,nhstepm,1,nlstate); + + + for(theta=1; theta <=npar; theta++){ + for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/ + xp[i] = x[i] + (i==theta ?delti[theta]:0); + } + /**< Computes the prevalence limit with parameter theta shifted of delta up to ftolpl precision and + * returns into prlim . + */ + prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij, nres); + + /* If popbased = 1 we use crossection prevalences. Previous step is useless but prlim is created */ + if (popbased==1) { + if(mobilav ==0){ + for(i=1; i<=nlstate;i++) + prlim[i][i]=probs[(int)age][i][ij]; + }else{ /* mobilav */ + for(i=1; i<=nlstate;i++) + prlim[i][i]=mobaverage[(int)age][i][ij]; + } + } + /**< Computes the shifted transition matrix \f$ {}{h}_p^{ij}x\f$ at horizon h. + */ + hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres); /* Returns p3mat[i][j][h] for h=0 to nhstepm */ + /**< And for each alive state j, sums over i \f$ w^i_x {}{h}_p^{ij}x\f$, which are the probability + * at horizon h in state j including mortality. + */ + for(j=1; j<= nlstate; j++){ + for(h=0; h<=nhstepm; h++){ + for(i=1, gp[h][j]=0.;i<=nlstate;i++) + gp[h][j] += prlim[i][i]*p3mat[i][j][h]; + } + } + /* Next for computing shifted+ probability of death (h=1 means + computed over hstepm matrices product = hstepm*stepm months) + as a weighted average of prlim(i) * p(i,j) p.3=w1*p13 + w2*p23 . + */ + for(j=nlstate+1;j<=nlstate+ndeath;j++){ + for(i=1,gpp[j]=0.; i<= nlstate; i++) + gpp[j] += prlim[i][i]*p3mat[i][j][1]; + } + + /* Again with minus shift */ + + for(i=1; i<=npar; i++) /* Computes gradient x - delta */ + xp[i] = x[i] - (i==theta ?delti[theta]:0); + + prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij, nres); + + if (popbased==1) { + if(mobilav ==0){ + for(i=1; i<=nlstate;i++) + prlim[i][i]=probs[(int)age][i][ij]; + }else{ /* mobilav */ + for(i=1; i<=nlstate;i++) + prlim[i][i]=mobaverage[(int)age][i][ij]; + } + } + + hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres); + + for(j=1; j<= nlstate; j++){ /* Sum of wi * eij = e.j */ + for(h=0; h<=nhstepm; h++){ + for(i=1, gm[h][j]=0.;i<=nlstate;i++) + gm[h][j] += prlim[i][i]*p3mat[i][j][h]; + } + } + /* This for computing probability of death (h=1 means + computed over hstepm matrices product = hstepm*stepm months) + as a weighted average of prlim. + */ + for(j=nlstate+1;j<=nlstate+ndeath;j++){ + for(i=1,gmp[j]=0.; i<= nlstate; i++) + gmp[j] += prlim[i][i]*p3mat[i][j][1]; + } + /* end shifting computations */ + + /**< Computing gradient matrix at horizon h + */ + for(j=1; j<= nlstate; j++) /* vareij */ + for(h=0; h<=nhstepm; h++){ + gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta]; + } + /**< Gradient of overall mortality p.3 (or p.j) + */ + for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu mortality from j */ + gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta]; + } + + } /* End theta */ + + /* We got the gradient matrix for each theta and state j */ + trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */ + + for(h=0; h<=nhstepm; h++) /* veij */ + for(j=1; j<=nlstate;j++) + for(theta=1; theta <=npar; theta++) + trgradg[h][j][theta]=gradg[h][theta][j]; + + for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */ + for(theta=1; theta <=npar; theta++) + trgradgp[j][theta]=gradgp[theta][j]; + /**< as well as its transposed matrix + */ + + hf=hstepm*stepm/YEARM; /* Duration of hstepm expressed in year unit. */ + for(i=1;i<=nlstate;i++) + for(j=1;j<=nlstate;j++) + vareij[i][j][(int)age] =0.; + + /* Computing trgradg by matcov by gradg at age and summing over h + * and k (nhstepm) formula 15 of article + * Lievre-Brouard-Heathcote + */ + + for(h=0;h<=nhstepm;h++){ + for(k=0;k<=nhstepm;k++){ + matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]); + for(i=1;i<=nlstate;i++) + for(j=1;j<=nlstate;j++) + vareij[i][j][(int)age] += doldm[i][j]*hf*hf; + } + } + + /* pptj is p.3 or p.j = trgradgp by cov by gradgp, variance of + * p.j overall mortality formula 49 but computed directly because + * we compute the grad (wix pijx) instead of grad (pijx),even if + * wix is independent of theta. + */ + matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov); + matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp); + for(j=nlstate+1;j<=nlstate+ndeath;j++) + for(i=nlstate+1;i<=nlstate+ndeath;i++) + varppt[j][i]=doldmp[j][i]; + /* end ppptj */ + /* x centered again */ + + prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij, nres); + + if (popbased==1) { + if(mobilav ==0){ + for(i=1; i<=nlstate;i++) + prlim[i][i]=probs[(int)age][i][ij]; + }else{ /* mobilav */ + for(i=1; i<=nlstate;i++) + prlim[i][i]=mobaverage[(int)age][i][ij]; + } + } + + /* This for computing probability of death (h=1 means + computed over hstepm (estepm) matrices product = hstepm*stepm months) + as a weighted average of prlim. + */ + hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij, nres); + for(j=nlstate+1;j<=nlstate+ndeath;j++){ + for(i=1,gmp[j]=0.;i<= nlstate; i++) + gmp[j] += prlim[i][i]*p3mat[i][j][1]; + } + /* end probability of death */ + + fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij); + for(j=nlstate+1; j<=(nlstate+ndeath);j++){ + fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j])); + for(i=1; i<=nlstate;i++){ + fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]); + } + } + fprintf(ficresprobmorprev,"\n"); + + fprintf(ficresvij,"%.0f ",age ); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate;j++){ + fprintf(ficresvij," %.4f", vareij[i][j][(int)age]); + } + fprintf(ficresvij,"\n"); + free_matrix(gp,0,nhstepm,1,nlstate); + free_matrix(gm,0,nhstepm,1,nlstate); + free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate); + free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar); + free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + } /* End age */ + free_vector(gpp,nlstate+1,nlstate+ndeath); + free_vector(gmp,nlstate+1,nlstate+ndeath); + free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath); + free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/ + /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */ + fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480"); + /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */ + fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";"); + fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit); + /* fprintf(ficgp,"\n plot \"%s\" u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */ + /* fprintf(ficgp,"\n replot \"%s\" u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */ + /* fprintf(ficgp,"\n replot \"%s\" u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */ + fprintf(ficgp,"\n plot \"%s\" u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev)); + fprintf(ficgp,"\n replot \"%s\" u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev)); + fprintf(ficgp,"\n replot \"%s\" u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev)); + fprintf(fichtm,"\n
File (multiple files are possible if covariates are present): %s\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev)); + fprintf(fichtm,"\n
Probability is computed over estepm=%d months.
![](\"%s%s.svg\")
\n", estepm,subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit); + /* fprintf(fichtm,"\n
Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year
![](\"varmuptjgr%s%s.svg\")
\n", stepm,YEARM,digitp,digit); + */ + /* fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */ + fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit); + + free_vector(xp,1,npar); + free_matrix(doldm,1,nlstate,1,nlstate); + free_matrix(dnewm,1,nlstate,1,npar); + free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); + free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar); + free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); + /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */ + fclose(ficresprobmorprev); + fflush(ficgp); + fflush(fichtm); + } /* end varevsij */ /************ Variance of prevlim ******************/ -void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij) + void varprevlim(char fileresvpl[], FILE *ficresvpl, double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, char strstart[], int nres) { - /* Variance of prevalence limit */ + /* Variance of prevalence limit for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/ /* double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/ - double **newm; - double **dnewm,**doldm; + + double **dnewmpar,**doldm; int i, j, nhstepm, hstepm; - int k, cptcode; double *xp; double *gp, *gm; double **gradg, **trgradg; + double **mgm, **mgp; double age,agelim; int theta; - - fprintf(ficresvpl,"# Standard deviation of stable prevalences \n"); - fprintf(ficresvpl,"# Age"); + + pstamp(ficresvpl); + fprintf(ficresvpl,"# Standard deviation of period (forward stable) prevalences \n"); + fprintf(ficresvpl,"# Age "); + if(nresult >=1) + fprintf(ficresvpl," Result# "); for(i=1; i<=nlstate;i++) fprintf(ficresvpl," %1d-%1d",i,i); fprintf(ficresvpl,"\n"); xp=vector(1,npar); - dnewm=matrix(1,nlstate,1,npar); + dnewmpar=matrix(1,nlstate,1,npar); doldm=matrix(1,nlstate,1,nlstate); hstepm=1*YEARM; /* Every year of age */ @@ -2777,6 +6668,8 @@ void varprevlim(char fileres[], double * if (stepm >= YEARM) hstepm=1; nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */ gradg=matrix(1,npar,1,nlstate); + mgp=matrix(1,npar,1,nlstate); + mgm=matrix(1,npar,1,nlstate); gp=vector(1,nlstate); gm=vector(1,nlstate); @@ -2784,18 +6677,27 @@ void varprevlim(char fileres[], double * for(i=1; i<=npar; i++){ /* Computes gradient */ xp[i] = x[i] + (i==theta ?delti[theta]:0); } - prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij); - for(i=1;i<=nlstate;i++) + /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */ + /* prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */ + /* else */ + prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); + for(i=1;i<=nlstate;i++){ gp[i] = prlim[i][i]; - + mgp[theta][i] = prlim[i][i]; + } for(i=1; i<=npar; i++) /* Computes gradient */ xp[i] = x[i] - (i==theta ?delti[theta]:0); - prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij); - for(i=1;i<=nlstate;i++) + /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */ + /* prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */ + /* else */ + prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); + for(i=1;i<=nlstate;i++){ gm[i] = prlim[i][i]; - + mgm[theta][i] = prlim[i][i]; + } for(i=1;i<=nlstate;i++) gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta]; + /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */ } /* End theta */ trgradg =matrix(1,nlstate,1,npar); @@ -2803,112 +6705,268 @@ void varprevlim(char fileres[], double * for(j=1; j<=nlstate;j++) for(theta=1; theta <=npar; theta++) trgradg[j][theta]=gradg[theta][j]; + /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */ + /* printf("\nmgm mgp %d ",(int)age); */ + /* for(j=1; j<=nlstate;j++){ */ + /* printf(" %d ",j); */ + /* for(theta=1; theta <=npar; theta++) */ + /* printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */ + /* printf("\n "); */ + /* } */ + /* } */ + /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */ + /* printf("\n gradg %d ",(int)age); */ + /* for(j=1; j<=nlstate;j++){ */ + /* printf("%d ",j); */ + /* for(theta=1; theta <=npar; theta++) */ + /* printf("%d %lf ",theta,gradg[theta][j]); */ + /* printf("\n "); */ + /* } */ + /* } */ for(i=1;i<=nlstate;i++) varpl[i][(int)age] =0.; - matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov); - matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg); + if((int)age==79 ||(int)age== 80 ||(int)age== 81){ + matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg); + }else{ + matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg); + } for(i=1;i<=nlstate;i++) varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */ fprintf(ficresvpl,"%.0f ",age ); - for(i=1; i<=nlstate;i++) + if(nresult >=1) + fprintf(ficresvpl,"%d ",nres ); + for(i=1; i<=nlstate;i++){ fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age])); + /* for(j=1;j<=nlstate;j++) */ + /* fprintf(ficresvpl," %d %.5f ",j,prlim[j][i]); */ + } fprintf(ficresvpl,"\n"); free_vector(gp,1,nlstate); free_vector(gm,1,nlstate); + free_matrix(mgm,1,npar,1,nlstate); + free_matrix(mgp,1,npar,1,nlstate); free_matrix(gradg,1,npar,1,nlstate); free_matrix(trgradg,1,nlstate,1,npar); } /* End age */ free_vector(xp,1,npar); free_matrix(doldm,1,nlstate,1,npar); - free_matrix(dnewm,1,nlstate,1,nlstate); + free_matrix(dnewmpar,1,nlstate,1,nlstate); } -/************ Variance of one-step probabilities ******************/ -void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax) + +/************ Variance of backprevalence limit ******************/ + void varbrevlim(char fileresvbl[], FILE *ficresvbl, double **varbpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **bprlim, double ftolpl, int mobilavproj, int *ncvyearp, int ij, char strstart[], int nres) { - int i, j=0, i1, k1, l1, t, tj; - int k2, l2, j1, z1; - int k=0,l, cptcode; - int first=1, first1; - double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp; - double **dnewm,**doldm; + /* Variance of backward prevalence limit for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/ + /* double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/ + + double **dnewmpar,**doldm; + int i, j, nhstepm, hstepm; double *xp; double *gp, *gm; double **gradg, **trgradg; - double **mu; - double age,agelim, cov[NCOVMAX]; - double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */ + double **mgm, **mgp; + double age,agelim; int theta; - char fileresprob[FILENAMELENGTH]; - char fileresprobcov[FILENAMELENGTH]; - char fileresprobcor[FILENAMELENGTH]; - - double ***varpij; - - strcpy(fileresprob,"prob"); - strcat(fileresprob,fileres); - if((ficresprob=fopen(fileresprob,"w"))==NULL) { - printf("Problem with resultfile: %s\n", fileresprob); - fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob); - } - strcpy(fileresprobcov,"probcov"); - strcat(fileresprobcov,fileres); - if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) { - printf("Problem with resultfile: %s\n", fileresprobcov); - fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov); - } - strcpy(fileresprobcor,"probcor"); - strcat(fileresprobcor,fileres); - if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) { - printf("Problem with resultfile: %s\n", fileresprobcor); - fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor); - } - printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob); - fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob); - printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov); - fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov); - printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor); - fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor); - - fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n"); - fprintf(ficresprob,"# Age"); - fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n"); - fprintf(ficresprobcov,"# Age"); - fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n"); - fprintf(ficresprobcov,"# Age"); + + pstamp(ficresvbl); + fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n"); + fprintf(ficresvbl,"# Age "); + if(nresult >=1) + fprintf(ficresvbl," Result# "); + for(i=1; i<=nlstate;i++) + fprintf(ficresvbl," %1d-%1d",i,i); + fprintf(ficresvbl,"\n"); + + xp=vector(1,npar); + dnewmpar=matrix(1,nlstate,1,npar); + doldm=matrix(1,nlstate,1,nlstate); + + hstepm=1*YEARM; /* Every year of age */ + hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ + agelim = AGEINF; + for (age=fage; age>=bage; age --){ /* If stepm=6 months */ + nhstepm=(int) rint((age-agelim)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ + if (stepm >= YEARM) hstepm=1; + nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */ + gradg=matrix(1,npar,1,nlstate); + mgp=matrix(1,npar,1,nlstate); + mgm=matrix(1,npar,1,nlstate); + gp=vector(1,nlstate); + gm=vector(1,nlstate); + + for(theta=1; theta <=npar; theta++){ + for(i=1; i<=npar; i++){ /* Computes gradient */ + xp[i] = x[i] + (i==theta ?delti[theta]:0); + } + if(mobilavproj > 0 ) + bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres); + else + bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres); + for(i=1;i<=nlstate;i++){ + gp[i] = bprlim[i][i]; + mgp[theta][i] = bprlim[i][i]; + } + for(i=1; i<=npar; i++) /* Computes gradient */ + xp[i] = x[i] - (i==theta ?delti[theta]:0); + if(mobilavproj > 0 ) + bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres); + else + bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres); + for(i=1;i<=nlstate;i++){ + gm[i] = bprlim[i][i]; + mgm[theta][i] = bprlim[i][i]; + } + for(i=1;i<=nlstate;i++) + gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta]; + /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */ + } /* End theta */ + trgradg =matrix(1,nlstate,1,npar); - for(i=1; i<=nlstate;i++) - for(j=1; j<=(nlstate+ndeath);j++){ - fprintf(ficresprob," p%1d-%1d (SE)",i,j); - fprintf(ficresprobcov," p%1d-%1d ",i,j); - fprintf(ficresprobcor," p%1d-%1d ",i,j); - } - /* fprintf(ficresprob,"\n"); - fprintf(ficresprobcov,"\n"); - fprintf(ficresprobcor,"\n"); - */ - xp=vector(1,npar); - dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar); - doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath)); - mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage); - varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage); - first=1; - fprintf(ficgp,"\n# Routine varprob"); - fprintf(fichtm,"\n
Computing and drawing one step probabilities with their confidence intervals
Matrix of variance-covariance of pairs of step probabilities (drawings)
Matrix of variance-covariance of pairs of step probabilities
\n\ - file %s\n",optionfilehtmcov); - fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p
Computing and drawing one step probabilities with their confidence intervals
Matrix of variance-covariance of one-step probabilities (drawings)
this page is important in order to visualize confidence intervals and especially correlation between disability and recovery, or more generally, way in and way back. File %s\n\n
Matrix of variance-covariance of pairs of step probabilities
\n",optionfilehtmcov, optionfilehtmcov); + fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p\n"); - fprintf(fichtmcov,"\n
Contour plot corresponding to x'cov-1x = 4 (where x is the column vector (pij,pkl)) are drawn. \ + fprintf(fichtmcov,"\n
Contour plot corresponding to x'cov-1x = 4 (where x is the column vector (pij,pkl)) are drawn. \ It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \ would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \ standard deviations wide on each axis.
\ @@ -2916,310 +6974,525 @@ standard deviations wide on each axis. < and made the appropriate rotation to look at the uncorrelated principal directions.
\ To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.
\n"); - cov[1]=1; - tj=cptcoveff; - if (cptcovn<1) {tj=1;ncodemax[1]=1;} - j1=0; - for(t=1; t<=tj;t++){ - for(i1=1; i1<=ncodemax[t];i1++){ - j1++; - if (cptcovn>0) { - fprintf(ficresprob, "\n#********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); - fprintf(ficresprob, "**********\n#\n"); - fprintf(ficresprobcov, "\n#********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); - fprintf(ficresprobcov, "**********\n#\n"); - - fprintf(ficgp, "\n#********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); - fprintf(ficgp, "**********\n#\n"); - - - fprintf(fichtmcov, "\n
********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); - fprintf(fichtmcov, "**********\n
"); - - fprintf(ficresprobcor, "\n#********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); - fprintf(ficresprobcor, "**********\n#"); - } - - for (age=bage; age<=fage; age ++){ - cov[2]=age; - for (k=1; k<=cptcovn;k++) { - cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]]; - } - for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; - for (k=1; k<=cptcovprod;k++) - cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; - - gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath)); - trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar); - gp=vector(1,(nlstate)*(nlstate+ndeath)); - gm=vector(1,(nlstate)*(nlstate+ndeath)); - - for(theta=1; theta <=npar; theta++){ - for(i=1; i<=npar; i++) - xp[i] = x[i] + (i==theta ?delti[theta]:(double)0); - - pmij(pmmij,cov,ncovmodel,xp,nlstate); - - k=0; - for(i=1; i<= (nlstate); i++){ - for(j=1; j<=(nlstate+ndeath);j++){ - k=k+1; - gp[k]=pmmij[i][j]; - } - } - - for(i=1; i<=npar; i++) - xp[i] = x[i] - (i==theta ?delti[theta]:(double)0); - - pmij(pmmij,cov,ncovmodel,xp,nlstate); - k=0; - for(i=1; i<=(nlstate); i++){ - for(j=1; j<=(nlstate+ndeath);j++){ - k=k+1; - gm[k]=pmmij[i][j]; - } - } - - for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) - gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta]; - } - - for(j=1; j<=(nlstate)*(nlstate+ndeath);j++) - for(theta=1; theta <=npar; theta++) - trgradg[j][theta]=gradg[theta][j]; - - matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); - matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg); - free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath)); - free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath)); - free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar); - free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar); - - pmij(pmmij,cov,ncovmodel,x,nlstate); - - k=0; - for(i=1; i<=(nlstate); i++){ - for(j=1; j<=(nlstate+ndeath);j++){ - k=k+1; - mu[k][(int) age]=pmmij[i][j]; - } - } - for(i=1;i<=(nlstate)*(nlstate+ndeath);i++) - for(j=1;j<=(nlstate)*(nlstate+ndeath);j++) - varpij[i][j][(int)age] = doldm[i][j]; - - /*printf("\n%d ",(int)age); - for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){ - printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i])); - fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i])); - }*/ - - fprintf(ficresprob,"\n%d ",(int)age); - fprintf(ficresprobcov,"\n%d ",(int)age); - fprintf(ficresprobcor,"\n%d ",(int)age); - - for (i=1; i<=(nlstate)*(nlstate+ndeath);i++) - fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age])); - for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){ - fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]); - fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]); - } - i=0; - for (k=1; k<=(nlstate);k++){ - for (l=1; l<=(nlstate+ndeath);l++){ - i=i++; - fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l); - fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l); - for (j=1; j<=i;j++){ - fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]); - fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age])); - } - } - }/* end of loop for state */ - } /* end of loop for age */ - - /* Confidence intervalle of pij */ - /* - fprintf(ficgp,"\nset noparametric;unset label"); - fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\""); - fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65"); - fprintf(fichtm,"\n
Probability with confidence intervals expressed in year-1 :pijgr%s.png, ",optionfilefiname,optionfilefiname); - fprintf(fichtm,"\n
![](\"pijgr%s.png\")
",optionfilefiname);
- fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
- fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
- */
-
- /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
- first1=1;
- for (k2=1; k2<=(nlstate);k2++){
- for (l2=1; l2<=(nlstate+ndeath);l2++){
- if(l2==k2) continue;
- j=(k2-1)*(nlstate+ndeath)+l2;
- for (k1=1; k1<=(nlstate);k1++){
- for (l1=1; l1<=(nlstate+ndeath);l1++){
- if(l1==k1) continue;
- i=(k1-1)*(nlstate+ndeath)+l1;
- if(i<=j) continue;
- for (age=bage; age<=fage; age ++){
- if ((int)age %5==0){
- v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
- v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
- cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
- mu1=mu[i][(int) age]/stepm*YEARM ;
- mu2=mu[j][(int) age]/stepm*YEARM;
- c12=cv12/sqrt(v1*v2);
- /* Computing eigen value of matrix of covariance */
- lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
- lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
- /* Eigen vectors */
- v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
- /*v21=sqrt(1.-v11*v11); *//* error */
- v21=(lc1-v1)/cv12*v11;
- v12=-v21;
- v22=v11;
- tnalp=v21/v11;
- if(first1==1){
- first1=0;
- printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
- }
- fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
- /*printf(fignu*/
- /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
- /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
- if(first==1){
- first=0;
- fprintf(ficgp,"\nset parametric;unset label");
- fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
- fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
- fprintf(fichtmcov,"\nEllipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year-1\ - :\ -%s%d%1d%1d-%1d%1d.png, ",k1,l1,k2,l2,\ - subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\ - subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2); - fprintf(fichtmcov,"\n
![](\"%s%d%1d%1d-%1d%1d.png\")
",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
- fprintf(fichtmcov,"\nCorrelation at age %d (%.3f),",(int) age, c12); - fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2); - fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2); - fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2); - fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\ - mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\ - mu2,std,v21,sqrt(lc1),v22,sqrt(lc2)); - }else{ - first=0; - fprintf(fichtmcov," %d (%.3f),",(int) age, c12); - fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2); - fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2); - fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\ - mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\ - mu2,std,v21,sqrt(lc1),v22,sqrt(lc2)); - }/* if first */ - } /* age mod 5 */ - } /* end loop age */ - fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2); - first=1; - } /*l12 */ - } /* k12 */ - } /*l1 */ - }/* k1 */ - } /* loop covariates */ - } - free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage); - free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage); - free_vector(xp,1,npar); - fclose(ficresprob); - fclose(ficresprobcov); - fclose(ficresprobcor); - fflush(ficgp); - fflush(fichtmcov); -} + cov[1]=1; + /* tj=cptcoveff; */ + tj = (int) pow(2,cptcoveff); + if (cptcovn<1) {tj=1;ncodemax[1]=1;} + j1=0; + for(j1=1; j1<=tj;j1++){ /* For each valid combination of covariates or only once*/ + for(nres=1;nres <=1; nres++){ /* For each resultline */ + /* for(nres=1;nres <=nresult; nres++){ /\* For each resultline *\/ */ + if (cptcovn>0) { + fprintf(ficresprob, "\n#********** Variable "); + for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,Tvaraff[z1])]); + fprintf(ficresprob, "**********\n#\n"); + fprintf(ficresprobcov, "\n#********** Variable "); + for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,Tvaraff[z1])]); + fprintf(ficresprobcov, "**********\n#\n"); + + fprintf(ficgp, "\n#********** Variable "); + for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,Tvaraff[z1])]); + fprintf(ficgp, "**********\n#\n"); + + + fprintf(fichtmcov, "\n
********** Variable "); + /* for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); */ + for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtmcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,Tvaraff[z1])]); + fprintf(fichtmcov, "**********\n
"); + + fprintf(ficresprobcor, "\n#********** Variable "); + for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,Tvaraff[z1])]); + fprintf(ficresprobcor, "**********\n#"); + if(invalidvarcomb[j1]){ + fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); + fprintf(fichtmcov,"\n
Combination (%d) ignored because no cases
\n",j1); + continue; + } + } + gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath)); + trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar); + gp=vector(1,(nlstate)*(nlstate+ndeath)); + gm=vector(1,(nlstate)*(nlstate+ndeath)); + for (age=bage; age<=fage; age ++){ + cov[2]=age; + if(nagesqr==1) + cov[3]= age*age; + /* for (k=1; k<=cptcovn;k++) { */ + /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)]; */ + for (k=1; k<=nsd;k++) { /* For single dummy covariates only */ + /* Here comes the value of the covariate 'j1' after renumbering k with single dummy covariates */ + cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(j1,TvarsD[k])]; + /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4 + * 1 1 1 1 1 + * 2 2 1 1 1 + * 3 1 2 1 1 + */ + /* nbcode[1][1]=0 nbcode[1][2]=1;*/ + } + /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1, Tage[1]=2 */ + /* ) p nbcode[Tvar[Tage[k]]][(1 & (ij-1) >> (k-1))+1] */ + /*for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */ + for (k=1; k<=cptcovage;k++){ /* For product with age */ + if(Dummy[Tage[k]]==2){ /* dummy with age */ + cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(j1,Tvar[Tage[k]])]*cov[2]; + /* cov[++k1]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */ + } else if(Dummy[Tage[k]]==3){ /* quantitative with age */ + printf("Internal IMaCh error, don't know which value for quantitative covariate with age, Tage[k]%d, k=%d, Tvar[Tage[k]]=V%d, age=%d\n",Tage[k],k ,Tvar[Tage[k]], (int)cov[2]); + exit(1); + /* cov[2+nagesqr+Tage[k]]=meanq[k]/idq[k]*cov[2];/\* Using the mean of quantitative variable Tvar[Tage[k]] /\* Tqresult[nres][k]; *\/ */ + /* cov[++k1]=Tqresult[nres][k]; */ + } + /* cov[2+Tage[k]+nagesqr]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */ + } + for (k=1; k<=cptcovprod;k++){/* For product without age */ + if(Dummy[Tvard[k][1]]==0){ + if(Dummy[Tvard[k][2]]==0){ + cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(j1,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(j1,Tvard[k][2])]; + /* cov[++k1]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */ + }else{ /* Should we use the mean of the quantitative variables? */ + cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(j1,Tvard[k][1])] * Tqresult[nres][k]; + /* cov[++k1]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k]; */ + } + }else{ + if(Dummy[Tvard[k][2]]==0){ + cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(j1,Tvard[k][2])] * Tqinvresult[nres][Tvard[k][1]]; + /* cov[++k1]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]]; */ + }else{ + cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]* Tqinvresult[nres][Tvard[k][2]]; + /* cov[++k1]=Tqinvresult[nres][Tvard[k][1]]* Tqinvresult[nres][Tvard[k][2]]; */ + } + } + /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)]; */ + } +/* For each age and combination of dummy covariates we slightly move the parameters of delti in order to get the gradient*/ + for(theta=1; theta <=npar; theta++){ + for(i=1; i<=npar; i++) + xp[i] = x[i] + (i==theta ?delti[theta]:(double)0); + + pmij(pmmij,cov,ncovmodel,xp,nlstate); + + k=0; + for(i=1; i<= (nlstate); i++){ + for(j=1; j<=(nlstate+ndeath);j++){ + k=k+1; + gp[k]=pmmij[i][j]; + } + } + + for(i=1; i<=npar; i++) + xp[i] = x[i] - (i==theta ?delti[theta]:(double)0); + + pmij(pmmij,cov,ncovmodel,xp,nlstate); + k=0; + for(i=1; i<=(nlstate); i++){ + for(j=1; j<=(nlstate+ndeath);j++){ + k=k+1; + gm[k]=pmmij[i][j]; + } + } + + for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) + gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta]; + } + + for(j=1; j<=(nlstate)*(nlstate+ndeath);j++) + for(theta=1; theta <=npar; theta++) + trgradg[j][theta]=gradg[theta][j]; + + matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); + matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg); + + pmij(pmmij,cov,ncovmodel,x,nlstate); + + k=0; + for(i=1; i<=(nlstate); i++){ + for(j=1; j<=(nlstate+ndeath);j++){ + k=k+1; + mu[k][(int) age]=pmmij[i][j]; + } + } + for(i=1;i<=(nlstate)*(nlstate+ndeath);i++) + for(j=1;j<=(nlstate)*(nlstate+ndeath);j++) + varpij[i][j][(int)age] = doldm[i][j]; + + /*printf("\n%d ",(int)age); + for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){ + printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i])); + fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i])); + }*/ + + fprintf(ficresprob,"\n%d ",(int)age); + fprintf(ficresprobcov,"\n%d ",(int)age); + fprintf(ficresprobcor,"\n%d ",(int)age); + + for (i=1; i<=(nlstate)*(nlstate+ndeath);i++) + fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age])); + for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){ + fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]); + fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]); + } + i=0; + for (k=1; k<=(nlstate);k++){ + for (l=1; l<=(nlstate+ndeath);l++){ + i++; + fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l); + fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l); + for (j=1; j<=i;j++){ + /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */ + fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]); + fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age])); + } + } + }/* end of loop for state */ + } /* end of loop for age */ + free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath)); + free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath)); + free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar); + free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar); + + /* Confidence intervalle of pij */ + /* + fprintf(ficgp,"\nunset parametric;unset label"); + fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\""); + fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65"); + fprintf(fichtm,"\nProbability with confidence intervals expressed in year-1 :pijgr%s.png, ",optionfilefiname,optionfilefiname); + fprintf(fichtm,"\n
",optionfilefiname);
+ fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
+ fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
+ */
+
+ /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
+ first1=1;first2=2;
+ for (k2=1; k2<=(nlstate);k2++){
+ for (l2=1; l2<=(nlstate+ndeath);l2++){
+ if(l2==k2) continue;
+ j=(k2-1)*(nlstate+ndeath)+l2;
+ for (k1=1; k1<=(nlstate);k1++){
+ for (l1=1; l1<=(nlstate+ndeath);l1++){
+ if(l1==k1) continue;
+ i=(k1-1)*(nlstate+ndeath)+l1;
+ if(i<=j) continue;
+ for (age=bage; age<=fage; age ++){
+ if ((int)age %5==0){
+ v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
+ v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
+ cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
+ mu1=mu[i][(int) age]/stepm*YEARM ;
+ mu2=mu[j][(int) age]/stepm*YEARM;
+ c12=cv12/sqrt(v1*v2);
+ /* Computing eigen value of matrix of covariance */
+ lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
+ lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
+ if ((lc2 <0) || (lc1 <0) ){
+ if(first2==1){
+ first1=0;
+ printf("Strange: j1=%d One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Probably WRONG RESULTS. See log file for details...\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);
+ }
+ fprintf(ficlog,"Strange: j1=%d One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Probably WRONG RESULTS.\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);fflush(ficlog);
+ /* lc1=fabs(lc1); */ /* If we want to have them positive */
+ /* lc2=fabs(lc2); */
+ }
+
+ /* Eigen vectors */
+ if(1+(v1-lc1)*(v1-lc1)/cv12/cv12 <1.e-5){
+ printf(" Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
+ fprintf(ficlog," Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
+ v11=(1./sqrt(fabs(1+(v1-lc1)*(v1-lc1)/cv12/cv12)));
+ }else
+ v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
+ /*v21=sqrt(1.-v11*v11); *//* error */
+ v21=(lc1-v1)/cv12*v11;
+ v12=-v21;
+ v22=v11;
+ tnalp=v21/v11;
+ if(first1==1){
+ first1=0;
+ printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
+ }
+ fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
+ /*printf(fignu*/
+ /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
+ /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
+ if(first==1){
+ first=0;
+ fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
+ fprintf(ficgp,"\nset parametric;unset label");
+ fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
+ fprintf(ficgp,"\nset ter svg size 640, 480");
+ fprintf(fichtmcov,"\n
Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year-1\
+ : \
+%s_%d%1d%1d-%1d%1d.svg, ",k1,l1,k2,l2,\
+ subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2, \
+ subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
+ fprintf(fichtmcov,"\n![](\"%s_%d%1d%1d-%1d%1d.svg\")
",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
+ fprintf(fichtmcov,"\n
Correlation at age %d (%.3f),",(int) age, c12);
+ fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
+ fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
+ fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
+ fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not", \
+ mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(lc2)), \
+ mu2,std,v21,sqrt(fabs(lc1)),v22,sqrt(fabs(lc2))); /* For gnuplot only */
+ }else{
+ first=0;
+ fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
+ fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
+ fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
+ fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not", \
+ mu1,std,v11,sqrt(lc1),v12,sqrt(fabs(lc2)), \
+ mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2)));
+ }/* if first */
+ } /* age mod 5 */
+ } /* end loop age */
+ fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
+ first=1;
+ } /*l12 */
+ } /* k12 */
+ } /*l1 */
+ }/* k1 */
+ } /* loop on nres */
+ } /* loop on combination of covariates j1 */
+ free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
+ free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
+ free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
+ free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
+ free_vector(xp,1,npar);
+ fclose(ficresprob);
+ fclose(ficresprobcov);
+ fclose(ficresprobcor);
+ fflush(ficgp);
+ fflush(fichtmcov);
+ }
/******************* Printing html file ***********/
-void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
+void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
int lastpass, int stepm, int weightopt, char model[],\
int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
- int popforecast, int estepm ,\
- double jprev1, double mprev1,double anprev1, \
- double jprev2, double mprev2,double anprev2){
- int jj1, k1, i1, cpt;
-
- fprintf(fichtm,"
Result files (first order: no variance)
\n \ - - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): %s
\n ", - jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p")); + int popforecast, int mobilav, int prevfcast, int mobilavproj, int prevbcast, int estepm , \ + double jprev1, double mprev1,double anprev1, double dateprev1, double dateprojd, double dateback1, \ + double jprev2, double mprev2,double anprev2, double dateprev2, double dateprojf, double dateback2){ + int jj1, k1, i1, cpt, k4, nres; + /* In fact some results are already printed in fichtm which is open */ + fprintf(fichtm,""); +/* fprintf(fichtm,"- model=1+age+%s\n \ */ +/*
Result files (first order: no variance)
\n"); + fprintf(fichtm,"- - Observed frequency between two states (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): %s (html file)
\n", + jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm")); + fprintf(fichtm," - - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): %s (html file) ",
+ jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
+ fprintf(fichtm,", %s (text file)
\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_")); fprintf(fichtm,"\ - Estimated transition probabilities over %d (stepm) months: %s
\n ", - stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij")); + stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_")); fprintf(fichtm,"\ - - Stable prevalence in each health state: %s
\n", - subdirf2(fileres,"pl"),subdirf2(fileres,"pl")); + - Estimated back transition probabilities over %d (stepm) months: %s
\n ", + stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_")); fprintf(fichtm,"\ - - Life expectancies by age and initial health status (estepm=%2d months): \ - %s
\n ",
- estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
+ - Period (forward) prevalence in each health state: %s
\n", + subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_")); + fprintf(fichtm,"\ + - Backward prevalence in each health state: %s
\n", + subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_")); + fprintf(fichtm,"\ + - (a) Life expectancies by health status at initial age, ei. (b) health expectancies by health status at initial age, eij . If one or more covariates are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \ + %s
\n", + estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_")); + if(prevfcast==1){ + fprintf(fichtm,"\ + - Prevalence projections by age and states: \ + %s
\n ", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
+ }
+
-fprintf(fichtm," \n- Graphs
- Graphs (first order)
- "); + + /* if(nqfveff+nqtveff 0) */ /* Test to be done */ + fprintf(fichtm,"************ Results for covariates"); + for (cpt=1; cpt<=cptcoveff;cpt++){ + fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]); + } + for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */ + fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); + } + if(invalidvarcomb[k1]){ + fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1); + continue; + } + fprintf(fichtm," "); + } /* cptcovn >0 */ + } + fprintf(fichtm," \n
Result files (second order: variances)
\n\ + - Parameter file with estimated parameters and covariance matrix: %s
\ + - 95%% confidence intervals and Wald tests of the estimated parameters are in the log file if optimization has been done (mle != 0).
\ +But because parameters are usually highly correlated (a higher incidence of disability \ +and a higher incidence of recovery can give very close observed transition) it might \ +be very useful to look not only at linear confidence intervals estimated from the \ +variances but at the covariance matrix. And instead of looking at the estimated coefficients \ +(parameters) of the logistic regression, it might be more meaningful to visualize the \ +covariance matrix of the one-step probabilities. \ +See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres); - fprintf(fichtm,"\ -\nResult files (second order: variances)
\n\ - - Parameter file with estimated parameters and covariance matrix: %s
\n", rfileres,rfileres); - - fprintf(fichtm," - Variance of one-step probabilities: %s
\n", - subdirf2(fileres,"prob"),subdirf2(fileres,"prob")); - fprintf(fichtm,"\ + fprintf(fichtm," - Standard deviation of one-step probabilities: %s
\n", + subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_")); + fprintf(fichtm,"\ - Variance-covariance of one-step probabilities: %s
\n", - subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov")); + subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_")); - fprintf(fichtm,"\ + fprintf(fichtm,"\ - Correlation matrix of one-step probabilities: %s
\n", - subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor")); - fprintf(fichtm,"\ - - Variances and covariances of life expectancies by age and initial health status (estepm=%d months): %s
\n", - estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v")); - fprintf(fichtm,"\ - - Health expectancies with their variances (no covariance): %s
\n", - subdirf2(fileres,"t"),subdirf2(fileres,"t")); - fprintf(fichtm,"\ - - Standard deviation of stable prevalences: %s
\n",\ - subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl")); + subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_")); + fprintf(fichtm,"\ + - Variances and covariances of health expectancies by age and initial health status (cov(eij,ekl)(estepm=%2d months): \ + %s
\n ",
+ estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
+ fprintf(fichtm,"\
+ - (a) Health expectancies by health status at initial age (eij) and standard errors (in parentheses) (b) life expectancies and standard errors (ei.=ei1+ei2+...)(estepm=%2d months): \
+ %s - Graphs
/*
",fileres,fileres,fileres,fileres); */ /* else */ /* fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .) \n",popforecast, stepm, model); */
- fflush(fichtm);
- fprintf(fichtm," - Graphs
- Graphs (second order)
- "); + + /* if(nqfveff+nqtveff 0) */ /* Test to be done */ + fprintf(fichtm,"************ Results for covariates"); + for (cpt=1; cpt<=cptcoveff;cpt++){ + fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]); + } + for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */ + fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); + } + if(invalidvarcomb[k1]){ + fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1); + continue; + } + fprintf(fichtm," "); + } /* cptcovn >0 */ + } + fprintf(fichtm," \n
Result files
\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):
"); + fprintf(fichtm," mu(age) =%lf*exp(%lf*(age-%d)) per year
",p[1],p[2],agegomp); + for (i=1;i<=2;i++) + fprintf(fichtm," p[%d] = %lf [%f ; %f]
\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i])); + fprintf(fichtm,"![](\"graphmort.svg\")
");
+ fprintf(fichtm,"Life table
\n
"); + + fprintf(fichtm,"\nAge lx qx d(x,x+1) Lx Tx e
"); + + for (k=agegomp;k<(agemortsup-2);k++) + fprintf(fichtm,"%d %.0lf %lf %.0lf %.0lf %.0lf %lf
\n",k,lsurv[k],p[1]*exp(p[2]*(k-agegomp)),(p[1]*exp(p[2]*(k-agegomp)))*lsurv[k],lpop[k],tpop[k],tpop[k]/lsurv[k]); + + + fflush(fichtm); +} + +/******************* Gnuplot file **************/ +void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){ + + char dirfileres[132],optfileres[132]; + + int ng; + + + /*#ifdef windows */ + fprintf(ficgp,"cd \"%s\" \n",pathc); + /*#endif */ + + + strcpy(dirfileres,optionfilefiname); + strcpy(optfileres,"vpl"); + fprintf(ficgp,"set out \"graphmort.svg\"\n "); + fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); + fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); + /* fprintf(ficgp, "set size 0.65,0.65\n"); */ + fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp); + +} + +int readdata(char datafile[], int firstobs, int lastobs, int *imax) +{ + + /*-------- data file ----------*/ + FILE *fic; + char dummy[]=" "; + int i=0, j=0, n=0, iv=0, v; + int lstra; + int linei, month, year,iout; + int noffset=0; /* This is the offset if BOM data file */ + char line[MAXLINE], linetmp[MAXLINE]; + char stra[MAXLINE], strb[MAXLINE]; + char *stratrunc; + + DummyV=ivector(1,NCOVMAX); /* 1 to 3 */ + FixedV=ivector(1,NCOVMAX); /* 1 to 3 */ + for(v=1;v"V5+V4+V3+V4*V3+V5*age+V1*age+V1" strb="V5" stra="V4+V3+V4*V3+V5*age+V1*age+V1" */ + if (nbocc(modelsav,'+')==0) + strcpy(strb,modelsav); /* and analyzes it */ + /* printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/ + /*scanf("%d",i);*/ + if (strchr(strb,'*')) { /**< Model includes a product V2+V1+V5*age+ V4+V3*age strb=V3*age */ + cutl(strc,strd,strb,'*'); /**< k=1 strd*strc Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */ + if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */ + /* covar is not filled and then is empty */ + cptcovprod--; + cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */ + Tvar[k]=atoi(stre); /* V2+V1+V5*age+V4+V3*age Tvar[5]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */ + Typevar[k]=1; /* 1 for age product */ + cptcovage++; /* Counts the number of covariates which include age as a product */ + Tage[cptcovage]=k; /* V2+V1+V4+V3*age Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */ + /*printf("stre=%s ", stre);*/ + } else if (strcmp(strd,"age")==0) { /* or age*Vn */ + cptcovprod--; + cutl(stre,strb,strc,'V'); + Tvar[k]=atoi(stre); + Typevar[k]=1; /* 1 for age product */ + cptcovage++; + Tage[cptcovage]=k; + } else { /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2 strb=V3*V2*/ + /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */ + cptcovn++; + cptcovprodnoage++;k1++; + cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/ + Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but + because this model-covariate is a construction we invent a new column + which is after existing variables ncovcol+nqv+ntv+nqtv + k1 + If already ncovcol=4 and model=V2 + V1 +V1*V4 +age*V3 +V3*V2 + thus after V4 we invent V5 and V6 because age*V3 will be computed in 4 + Tvar[3=V1*V4]=4+1=5 Tvar[5=V3*V2]=4 + 2= 6, Tvar[4=age*V3]=4 etc */ + Typevar[k]=2; /* 2 for double fixed dummy covariates */ + cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */ + Tprod[k1]=k; /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2 */ + Tposprod[k]=k1; /* Tposprod[3]=1, Tposprod[2]=5 */ + Tvard[k1][1] =atoi(strc); /* m 1 for V1*/ + Tvardk[k][1] =atoi(strc); /* m 1 for V1*/ + Tvard[k1][2] =atoi(stre); /* n 4 for V4*/ + Tvardk[k][2] =atoi(stre); /* n 4 for V4*/ + k2=k2+2; /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */ + /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */ + /* Tvar[cptcovt+k2+1]=Tvard[k1][2]; /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */ + /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */ + /* 1 2 3 4 5 | Tvar[5+1)=1, Tvar[7]=2 */ + for (i=1; i<=lastobs;i++){ + /* Computes the new covariate which is a product of + covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */ + covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i]; + } + } /* End age is not in the model */ + } /* End if model includes a product */ + else { /* not a product */ + /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/ + /* scanf("%d",i);*/ + cutl(strd,strc,strb,'V'); + ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */ + cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */ + Tvar[k]=atoi(strd); + Typevar[k]=0; /* 0 for simple covariates */ + } + strcpy(modelsav,stra); /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ + /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav); + scanf("%d",i);*/ + } /* end of loop + on total covariates */ + } /* end if strlen(modelsave == 0) age*age might exist */ + } /* end if strlen(model == 0) */ + + /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products. + If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/ + + /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]); + printf("cptcovprod=%d ", cptcovprod); + fprintf(ficlog,"cptcovprod=%d ", cptcovprod); + scanf("%d ",i);*/ + + +/* Until here, decodemodel knows only the grammar (simple, product, age*) of the model but not what kind + of variable (dummy vs quantitative, fixed vs time varying) is behind. But we know the # of each. */ +/* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1 = 5 possible variables data: 2 fixed 3, varying + model= V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place + k = 1 2 3 4 5 6 7 8 9 + Tvar[k]= 5 4 3 1+1+2+1+1=6 5 2 7 1 5 + Typevar[k]= 0 0 0 2 1 0 2 1 0 + Fixed[k] 1 1 1 1 3 0 0 or 2 2 3 + Dummy[k] 1 0 0 0 3 1 1 2 3 + Tmodelind[combination of covar]=k; +*/ +/* Dispatching between quantitative and time varying covariates */ + /* If Tvar[k] >ncovcol it is a product */ + /* Tvar[k] is the value n of Vn with n varying for 1 to nvcol, or p Vp=Vn*Vm for product */ + /* Computing effective variables, ie used by the model, that is from the cptcovt variables */ + printf("Model=1+age+%s\n\ +Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for product \n\ +Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\ +Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model); + fprintf(ficlog,"Model=1+age+%s\n\ +Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for product \n\ +Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\ +Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model); + for(k=-1;k<=cptcovt; k++){ Fixed[k]=0; Dummy[k]=0;} + for(k=1, ncovf=0, nsd=0, nsq=0, ncovv=0, ncova=0, ncoveff=0, nqfveff=0, ntveff=0, nqtveff=0;k<=cptcovt; k++){ /* or cptocvt */ + if (Tvar[k] <=ncovcol && Typevar[k]==0 ){ /* Simple fixed dummy (<=ncovcol) covariates */ + Fixed[k]= 0; + Dummy[k]= 0; + ncoveff++; + ncovf++; + nsd++; + modell[k].maintype= FTYPE; + TvarsD[nsd]=Tvar[k]; + TvarsDind[nsd]=k; + TnsdVar[Tvar[k]]=nsd; + TvarF[ncovf]=Tvar[k]; + TvarFind[ncovf]=k; + TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ + TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ + }else if( Tvar[k] <=ncovcol && Typevar[k]==2){ /* Product of fixed dummy (<=ncovcol) covariates */ + Fixed[k]= 0; + Dummy[k]= 0; + ncoveff++; + ncovf++; + modell[k].maintype= FTYPE; + TvarF[ncovf]=Tvar[k]; + /* TnsdVar[Tvar[k]]=nsd; */ /* To be done */ + TvarFind[ncovf]=k; + TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ + TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ + }else if( Tvar[k] <=ncovcol+nqv && Typevar[k]==0){/* Remind that product Vn*Vm are added in k Only simple fixed quantitative variable */ + Fixed[k]= 0; + Dummy[k]= 1; + nqfveff++; + modell[k].maintype= FTYPE; + modell[k].subtype= FQ; + nsq++; + TvarsQ[nsq]=Tvar[k]; + TvarsQind[nsq]=k; + ncovf++; + TvarF[ncovf]=Tvar[k]; + TvarFind[ncovf]=k; + TvarFQ[nqfveff]=Tvar[k]-ncovcol; /* TvarFQ[1]=V2-1=1st in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */ + TvarFQind[nqfveff]=k; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */ + }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){/* Only simple time varying dummy variables */ + Fixed[k]= 1; + Dummy[k]= 0; + ntveff++; /* Only simple time varying dummy variable */ + modell[k].maintype= VTYPE; + modell[k].subtype= VD; + nsd++; + TvarsD[nsd]=Tvar[k]; + TvarsDind[nsd]=k; + TnsdVar[Tvar[k]]=nsd; /* To be verified */ + ncovv++; /* Only simple time varying variables */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; /* TvarVind[2]=2 TvarVind[3]=3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Any time varying singele */ + TvarVD[ntveff]=Tvar[k]; /* TvarVD[1]=V4 TvarVD[2]=V3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying dummy variable */ + TvarVDind[ntveff]=k; /* TvarVDind[1]=2 TvarVDind[2]=3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying dummy variable */ + printf("Quasi Tmodelind[%d]=%d,Tvar[Tmodelind[%d]]=V%d, ncovcol=%d, nqv=%d,Tvar[k]- ncovcol-nqv=%d\n",ntveff,k,ntveff,Tvar[k], ncovcol, nqv,Tvar[k]- ncovcol-nqv); + printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv); + }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv && Typevar[k]==0){ /* Only simple time varying quantitative variable V5*/ + Fixed[k]= 1; + Dummy[k]= 1; + nqtveff++; + modell[k].maintype= VTYPE; + modell[k].subtype= VQ; + ncovv++; /* Only simple time varying variables */ + nsq++; + TvarsQ[nsq]=Tvar[k]; /* k=1 Tvar=5 nsq=1 TvarsQ[1]=5 */ + TvarsQind[nsq]=k; + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; /* TvarVind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Any time varying singele */ + TvarVQ[nqtveff]=Tvar[k]; /* TvarVQ[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */ + TvarVQind[nqtveff]=k; /* TvarVQind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */ + TmodelInvQind[nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */ + /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */ + printf("Quasi TmodelQind[%d]=%d,Tvar[TmodelQind[%d]]=V%d, ncovcol=%d, nqv=%d, ntv=%d,Tvar[k]- ncovcol-nqv-ntv=%d\n",nqtveff,k,nqtveff,Tvar[k], ncovcol, nqv, ntv, Tvar[k]- ncovcol-nqv-ntv); + printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv); + }else if (Typevar[k] == 1) { /* product with age */ + ncova++; + TvarA[ncova]=Tvar[k]; + TvarAind[ncova]=k; + if (Tvar[k] <=ncovcol ){ /* Product age with fixed dummy covariatee */ + Fixed[k]= 2; + Dummy[k]= 2; + modell[k].maintype= ATYPE; + modell[k].subtype= APFD; + /* ncoveff++; */ + }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/ + Fixed[k]= 2; + Dummy[k]= 3; + modell[k].maintype= ATYPE; + modell[k].subtype= APFQ; /* Product age * fixed quantitative */ + /* nqfveff++; /\* Only simple fixed quantitative variable *\/ */ + }else if( Tvar[k] <=ncovcol+nqv+ntv ){ + Fixed[k]= 3; + Dummy[k]= 2; + modell[k].maintype= ATYPE; + modell[k].subtype= APVD; /* Product age * varying dummy */ + /* ntveff++; /\* Only simple time varying dummy variable *\/ */ + }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){ + Fixed[k]= 3; + Dummy[k]= 3; + modell[k].maintype= ATYPE; + modell[k].subtype= APVQ; /* Product age * varying quantitative */ + /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */ + } + }else if (Typevar[k] == 2) { /* product without age */ + k1=Tposprod[k]; + if(Tvard[k1][1] <=ncovcol){ + if(Tvard[k1][2] <=ncovcol){ + Fixed[k]= 1; + Dummy[k]= 0; + modell[k].maintype= FTYPE; + modell[k].subtype= FPDD; /* Product fixed dummy * fixed dummy */ + ncovf++; /* Fixed variables without age */ + TvarF[ncovf]=Tvar[k]; + TvarFind[ncovf]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv){ + Fixed[k]= 0; /* or 2 ?*/ + Dummy[k]= 1; + modell[k].maintype= FTYPE; + modell[k].subtype= FPDQ; /* Product fixed dummy * fixed quantitative */ + ncovf++; /* Varying variables without age */ + TvarF[ncovf]=Tvar[k]; + TvarFind[ncovf]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){ + Fixed[k]= 1; + Dummy[k]= 0; + modell[k].maintype= VTYPE; + modell[k].subtype= VPDD; /* Product fixed dummy * varying dummy */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){ + Fixed[k]= 1; + Dummy[k]= 1; + modell[k].maintype= VTYPE; + modell[k].subtype= VPDQ; /* Product fixed dummy * varying quantitative */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + } + }else if(Tvard[k1][1] <=ncovcol+nqv){ + if(Tvard[k1][2] <=ncovcol){ + Fixed[k]= 0; /* or 2 ?*/ + Dummy[k]= 1; + modell[k].maintype= FTYPE; + modell[k].subtype= FPDQ; /* Product fixed quantitative * fixed dummy */ + ncovf++; /* Fixed variables without age */ + TvarF[ncovf]=Tvar[k]; + TvarFind[ncovf]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){ + Fixed[k]= 1; + Dummy[k]= 1; + modell[k].maintype= VTYPE; + modell[k].subtype= VPDQ; /* Product fixed quantitative * varying dummy */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){ + Fixed[k]= 1; + Dummy[k]= 1; + modell[k].maintype= VTYPE; + modell[k].subtype= VPQQ; /* Product fixed quantitative * varying quantitative */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + } + }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){ + if(Tvard[k1][2] <=ncovcol){ + Fixed[k]= 1; + Dummy[k]= 1; + modell[k].maintype= VTYPE; + modell[k].subtype= VPDD; /* Product time varying dummy * fixed dummy */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv){ + Fixed[k]= 1; + Dummy[k]= 1; + modell[k].maintype= VTYPE; + modell[k].subtype= VPDQ; /* Product time varying dummy * fixed quantitative */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){ + Fixed[k]= 1; + Dummy[k]= 0; + modell[k].maintype= VTYPE; + modell[k].subtype= VPDD; /* Product time varying dummy * time varying dummy */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){ + Fixed[k]= 1; + Dummy[k]= 1; + modell[k].maintype= VTYPE; + modell[k].subtype= VPDQ; /* Product time varying dummy * time varying quantitative */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + } + }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){ + if(Tvard[k1][2] <=ncovcol){ + Fixed[k]= 1; + Dummy[k]= 1; + modell[k].maintype= VTYPE; + modell[k].subtype= VPDQ; /* Product time varying quantitative * fixed dummy */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv){ + Fixed[k]= 1; + Dummy[k]= 1; + modell[k].maintype= VTYPE; + modell[k].subtype= VPQQ; /* Product time varying quantitative * fixed quantitative */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){ + Fixed[k]= 1; + Dummy[k]= 1; + modell[k].maintype= VTYPE; + modell[k].subtype= VPDQ; /* Product time varying quantitative * time varying dummy */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){ + Fixed[k]= 1; + Dummy[k]= 1; + modell[k].maintype= VTYPE; + modell[k].subtype= VPQQ; /* Product time varying quantitative * time varying quantitative */ + ncovv++; /* Varying variables without age */ + TvarV[ncovv]=Tvar[k]; + TvarVind[ncovv]=k; + } + }else{ + printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]); + fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]); + } /*end k1*/ + }else{ + printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]); + fprintf(ficlog,"Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]); + } + printf("Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[k],Dummy[k]); + printf(" modell[%d].maintype=%d, modell[%d].subtype=%d\n",k,modell[k].maintype,k,modell[k].subtype); + fprintf(ficlog,"Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[k],Dummy[k]); + } + /* Searching for doublons in the model */ + for(k1=1; k1<= cptcovt;k1++){ + for(k2=1; k2 Result files
\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):
"); - fprintf(fichtm," mu(age) =%lf*exp(%lf*(age-%d)) per year
",p[1],p[2],agegomp); - for (i=1;i<=2;i++) - fprintf(fichtm," p[%d] = %lf [%f ; %f]
\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i])); - fprintf(fichtm,"![](\"graphmort.png\")
");
- fprintf(fichtm,"Parameter files
\n\ + - Parameter file: %s.%s
\n\ - Copy of the parameter file: o%s
\n\ - Log file of the run: %s
\n\ - Gnuplot file name: %s
\n\ - Date and time at start: %s- Tolerance for the convergence of the likelihood: ftol=%g \n
- Interval for the elementary matrix (in month): stepm=%d",\ + ftol, stepm); + fprintf(fichtm,"\n
- Number of fixed dummy covariates: ncovcol=%d ", ncovcol); + ncurrv=1; + for(i=ncurrv; i <=ncovcol; i++) fprintf(fichtm,"V%d ", i); + fprintf(fichtm,"\n
- Number of fixed quantitative variables: nqv=%d ", nqv); + ncurrv=i; + for(i=ncurrv; i <=ncurrv-1+nqv; i++) fprintf(fichtm,"V%d ", i); + fprintf(fichtm,"\n
- Number of time varying (wave varying) dummy covariates: ntv=%d ", ntv); + ncurrv=i; + for(i=ncurrv; i <=ncurrv-1+ntv; i++) fprintf(fichtm,"V%d ", i); + fprintf(fichtm,"\n
- Number of time varying quantitative covariates: nqtv=%d ", nqtv); + ncurrv=i; + for(i=ncurrv; i <=ncurrv-1+nqtv; i++) fprintf(fichtm,"V%d ", i); + fprintf(fichtm,"\n
- Weights column \n
Number of alive states: nlstate=%d
Number of death states (not really implemented): ndeath=%d \n - Number of waves: maxwav=%d \n
- Parameter for maximization (1), using parameter values (0), for design of parameters and variance-covariance matrix: mle=%d \n
- Does the weight column be taken into account (1), or not (0): weight=%d
- model=1+age+%s\n \ +
"); + m=pow(2,cptcoveff); + if (cptcovn < 1) {m=1;ncodemax[1]=1;} - m=cptcoveff; - if (cptcovn < 1) {m=1;ncodemax[1]=1;} + fprintf(fichtm," \n
"); - jj1=0; - for(k1=1; k1<=m;k1++){ - for(i1=1; i1<=ncodemax[k1];i1++){ + jj1=0; + + fprintf(fichtm," \n
- ");
+ for(nres=1; nres <= nresult; nres++) /* For each resultline */
+ for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
+ if(m != 1 && TKresult[nres]!= k1)
+ continue;
+ jj1++;
+ if (cptcovn > 0) {
+ fprintf(fichtm,"\n
");
+
fprintf(fichtm,"
************ Results for covariates");
- for (cpt=1; cpt<=cptcoveff;cpt++)
- fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
- fprintf(fichtm," ************\n
");
+ for (cpt=1; cpt<=cptcoveff;cpt++){
+ fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
+ printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
+ /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
+ /* printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout); */
+ }
+ for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+ fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+ printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);fflush(stdout);
+ }
+
+ /* if(nqfveff+nqtveff 0) */ /* Test to be done */
+ fprintf(fichtm," (model=%s) ************\n
",model);
+ if(invalidvarcomb[k1]){
+ fprintf(fichtm,"\nCombination (%d) ignored because no cases
\n",k1);
+ printf("\nCombination (%d) ignored because no cases \n",k1);
+ continue;
+ }
}
+ /* aij, bij */
+ fprintf(fichtm,"
- Logit model (yours is: logit(pij)=log(pij/pii)= aij+ bij age+%s) as a function of age: %s_%d-1-%d.svg
\
+![](\"%s_%d-1-%d.svg\")
",model,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres);
/* Pij */
- fprintf(fichtm,"
- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: %s%d1.png
\
-![](\"%s%d1.png\")
",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);
+ fprintf(fichtm,"
\n- Pij or conditional probabilities to be observed in state j being in state i, %d (stepm) months before: %s_%d-2-%d.svg
\
+![](\"%s_%d-2-%d.svg\")
",stepm,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres);
/* Quasi-incidences */
- fprintf(fichtm,"
- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
- before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: %s%d2.png
\
-![](\"%s%d2.png\")
",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);
- /* Stable prevalence in each health state */
- for(cpt=1; cpt
\
-![](\"%s%d%d.png\")
",subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
+ fprintf(fichtm,"
\n- Iij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
+ before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
+ incidence (rates) are the limit when h tends to zero of the ratio of the probability hPij \
+divided by h: hPij/h : %s_%d-3-%d.svg
\
+![](\"%s_%d-3-%d.svg\")
",stepm,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres);
+ /* Survival functions (period) in state j */
+ for(cpt=1; cpt<=nlstate;cpt++){
+ fprintf(fichtm,"
\n- Survival functions in state %d. And probability to be observed in state %d being in state (1 to %d) at different ages. %s_%d-%d-%d.svg
", cpt, cpt, nlstate, subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
+ fprintf(fichtm," (data from text file %s.txt)\n
",subdirf2(optionfilefiname,"PIJ_"),subdirf2(optionfilefiname,"PIJ_"));
+ fprintf(fichtm,"![](\"%s_%d-%d-%d.svg\")
",subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
+ }
+ /* State specific survival functions (period) */
+ for(cpt=1; cpt<=nlstate;cpt++){
+ fprintf(fichtm,"
\n- Survival functions in state %d and in any other live state (total).\
+ And probability to be observed in various states (up to %d) being in state %d at different ages. \
+ %s_%d-%d-%d.svg
", cpt, nlstate, cpt, subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
+ fprintf(fichtm," (data from text file %s.txt)\n
",subdirf2(optionfilefiname,"PIJ_"),subdirf2(optionfilefiname,"PIJ_"));
+ fprintf(fichtm,"",subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
+ }
+ /* Period (forward stable) prevalence in each health state */
+ for(cpt=1; cpt<=nlstate;cpt++){
+ fprintf(fichtm,"
\n- Convergence to period (stable) prevalence in state %d. Or probability for a person being in state (1 to %d) at different ages, to be in state %d some years after. %s_%d-%d-%d.svg
", cpt, nlstate, cpt, subdirf2(optionfilefiname,"P_"),cpt,k1,nres,subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
+ fprintf(fichtm," (data from text file %s.txt)\n
",subdirf2(optionfilefiname,"P_"),subdirf2(optionfilefiname,"P_"));
+ fprintf(fichtm,"" ,subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
+ }
+ if(prevbcast==1){
+ /* Backward prevalence in each health state */
+ for(cpt=1; cpt<=nlstate;cpt++){
+ fprintf(fichtm,"
\n- Convergence to mixed (stable) back prevalence in state %d. Or probability for a person to be in state %d at a younger age, knowing that she/he was in state (1 to %d) at different older ages. %s_%d-%d-%d.svg
\
+", cpt, cpt, nlstate, subdirf2(optionfilefiname,"PB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
+ }
+ }
+ if(prevfcast==1){
+ /* Projection of prevalence up to period (forward stable) prevalence in each health state */
+ for(cpt=1; cpt<=nlstate;cpt++){
+ fprintf(fichtm,"
\n- Projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), from year %.1f up to year %.1f tending to period (stable) forward prevalence in state %d. Or probability to be in state %d being in an observed weighted state (from 1 to %d). %s_%d-%d-%d.svg", dateprev1, dateprev2, mobilavproj, dateprojd, dateprojf, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
+ fprintf(fichtm," (data from text file %s.txt)\n
",subdirf2(optionfilefiname,"F_"),subdirf2(optionfilefiname,"F_"));
+ fprintf(fichtm,"",
+ subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
+ }
+ }
+ if(prevbcast==1){
+ /* Back projection of prevalence up to stable (mixed) back-prevalence in each health state */
+ for(cpt=1; cpt<=nlstate;cpt++){
+ fprintf(fichtm,"
\n- Back projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), \
+ from year %.1f up to year %.1f (probably close to stable [mixed] back prevalence in state %d (randomness in cross-sectional prevalence is not taken into \
+ account but can visually be appreciated). Or probability to have been in an state %d, knowing that the person was in either state (1 or %d) \
+with weights corresponding to observed prevalence at different ages. %s_%d-%d-%d.svg", dateprev1, dateprev2, mobilavproj, dateback1, dateback2, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
+ fprintf(fichtm," (data from text file %s.txt)\n
",subdirf2(optionfilefiname,"FB_"),subdirf2(optionfilefiname,"FB_"));
+ fprintf(fichtm," ", subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
}
+ }
+
for(cpt=1; cpt<=nlstate;cpt++) {
- fprintf(fichtm,"\n
- Health life expectancies by age and initial health state (%d): %s%d%d.png
\
-",cpt,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
+ fprintf(fichtm,"\n
- Life expectancy by health state (%d) at initial age and its decomposition into health expectancies in each alive state (1 to %d) (or area under each survival functions): %s_%d-%d-%d.svg",cpt,nlstate,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
+ fprintf(fichtm," (data from text file %s.txt)\n
",subdirf2(optionfilefiname,"E_"),subdirf2(optionfilefiname,"E_"));
+ fprintf(fichtm,"", subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres );
}
- } /* end i1 */
- }/* End k1 */
- fprintf(fichtm,"
\n", + estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_")); + fprintf(fichtm,"\ + - Variances and covariances of health expectancies by age. Status (i) based health expectancies (in state j), eij are weighted by the forward (period) prevalences in each state i (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): %s
\n", + estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_")); + fprintf(fichtm,"\ + - Total life expectancy and total health expectancies to be spent in each health state e.j with their standard errors (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): %s
\n", + estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_")); + fprintf(fichtm,"\ + - Standard deviation of forward (period) prevalences: %s
\n",\ + subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_")); /* if(popforecast==1) fprintf(fichtm,"\n */ /* - Prevalences forecasting: f%s
\n */ @@ -3227,42 +7500,118 @@ fprintf(fichtm," \n
"); + fflush(fichtm); + + m=pow(2,cptcoveff); + if (cptcovn < 1) {m=1;ncodemax[1]=1;} + + fprintf(fichtm,"
"); + + jj1=0; + + fprintf(fichtm," \n
- ");
+ for(nres=1; nres <= nresult; nres++) /* For each resultline */
+ for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
+ if(m != 1 && TKresult[nres]!= k1)
+ continue;
+ jj1++;
+ if (cptcovn > 0) {
+ fprintf(fichtm,"\n
");
+
fprintf(fichtm,"
************ Results for covariates");
- for (cpt=1; cpt<=cptcoveff;cpt++)
- fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
- fprintf(fichtm," ************\n
");
+ for (cpt=1; cpt<=cptcoveff;cpt++){ /**< cptcoveff number of variables */
+ fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);
+ printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
+ /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
+ }
+ for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+ fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+ }
+
+ fprintf(fichtm," (model=%s) ************\n
",model);
+
+ if(invalidvarcomb[k1]){
+ fprintf(fichtm,"\nCombination (%d) ignored because no cases
\n",k1);
+ continue;
+ }
}
for(cpt=1; cpt<=nlstate;cpt++) {
- fprintf(fichtm,"
- Observed (cross-sectional) and period (incidence based) \
-prevalence (with 95%% confidence interval) in state (%d): %s%d%d.png
\
-",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);
+ fprintf(fichtm,"\n
- Observed (cross-sectional with mov_average=%d) and period (incidence based) \
+prevalence (with 95%% confidence interval) in state (%d): %s_%d-%d-%d.svg",mobilav,cpt,subdirf2(optionfilefiname,"V_"),cpt,k1,nres,subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
+ fprintf(fichtm," (data from text file %s)\n
",subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
+ fprintf(fichtm,"",subdirf2(optionfilefiname,"V_"), cpt,k1,nres);
}
fprintf(fichtm,"\n
- Total life expectancy by age and \
-health expectancies in states (1) and (2): %s%d.png
\
-![](\"%s%d.png\")
",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
- } /* end i1 */
- }/* End k1 */
- fprintf(fichtm,"
",subdirf2(optionfilefiname,"T_"),subdirf2(optionfilefiname,"T_")); + fprintf(fichtm,"
![](\"%s_%d-%d.svg\")
",subdirf2(optionfilefiname,"E_"),k1,nres);
+ /* } /\* end i1 *\/ */
+ }/* End k1 */
+ }/* End nres */
+ fprintf(fichtm,"%s \ + fprintf(fichtmcov,"\n
%s \
\n\ -Title=%s
Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s
\n",\ - fileres,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model); +Title=%s
Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s
\n",\ + optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model); } - fprintf(fichtm,"\n
%s \ + fprintf(fichtm,"\n\n\n
\nSponsored by Copyright (C) 2002-2015 INED-EUROREVES-Institut de longeÌviteÌ-2013-2016-Japan Society for the Promotion of Sciences 日本å¦è¡“振興会 (Grant-in-Aid for Scientific Research 25293121) - Intel Software 2015-2018
\ +
\n\ +IMaCh-%s
%s \
\n\ -Title=%s
Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s
\n\ +Title=%s
Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s
\n\ \n\
\
Total number of observations=%d
\n\ + fprintf(fichtm,"
Parameter line 2
Diagram of states %s_.svg
\n\ +![](\"%s_.svg\")
", subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"));
+
+
+ fprintf(fichtm,"\nSome descriptive statistics
\nNumber of (used) observations=%d
\n\ Youngest age at first (selected) pass %.2f, oldest age %.2f
\n\ Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf
\n",\ - imx,agemin,agemax,jmin,jmax,jmean); + imx,agemin,agemax,jmin,jmax,jmean); pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */ - - + oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ + newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ + savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ + oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */ + /* For Powell, parameters are in a vector p[] starting at p[1] so we point p on param[1][1] so that p[1] maps on param[1][1][1] */ p=param[1][1]; /* *(*(*(param +1)+1)+0) */ globpr=0; /* To get the number ipmx of contributions and the sum of weights*/ + /* For mortality only */ if (mle==-3){ - ximort=matrix(1,NDIM,1,NDIM); - cens=ivector(1,n); - ageexmed=vector(1,n); - agecens=vector(1,n); - dcwave=ivector(1,n); - + ximort=matrix(1,NDIM,1,NDIM); + for(i=1;i<=NDIM;i++) + for(j=1;j<=NDIM;j++) + ximort[i][j]=0.; + /* ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */ + cens=ivector(firstobs,lastobs); + ageexmed=vector(firstobs,lastobs); + agecens=vector(firstobs,lastobs); + dcwave=ivector(firstobs,lastobs); + for (i=1; i<=imx; i++){ dcwave[i]=-1; - for (j=1; j<=lastpass; j++) - if (s[j][i]>nlstate) { - dcwave[i]=j; + for (m=firstpass; m<=lastpass; m++) + if (s[m][i]>nlstate) { + dcwave[i]=m; /* printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/ break; } } - + for (i=1; i<=imx; i++) { if (wav[i]>0){ ageexmed[i]=agev[mw[1][i]][i]; - j=wav[i];agecens[i]=1.; - if (ageexmed[i]>1 & wav[i]>0) agecens[i]=agev[mw[j][i]][i]; - cens[i]=1; + j=wav[i]; + agecens[i]=1.; - if (ageexmed[i]<1) cens[i]=-1; - if (agedc[i]< AGESUP & agedc[i]>1 & dcwave[i]>firstpass & dcwave[i]<=lastpass) cens[i]=0 ; + if (ageexmed[i]> 1 && wav[i] > 0){ + agecens[i]=agev[mw[j][i]][i]; + cens[i]= 1; + }else if (ageexmed[i]< 1) + cens[i]= -1; + if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass) + cens[i]=0 ; } else cens[i]=-1; } @@ -4786,100 +12521,354 @@ Interval (in months) between two waves: for (j=1;j<=NDIM;j++) ximort[i][j]=(i == j ? 1.0 : 0.0); } + + p[1]=0.0268; p[NDIM]=0.083; + /* printf("%lf %lf", p[1], p[2]); */ + + +#ifdef GSL + printf("GSL optimization\n"); fprintf(ficlog,"Powell\n"); +#else + printf("Powell\n"); fprintf(ficlog,"Powell\n"); +#endif + strcpy(filerespow,"POW-MORT_"); + strcat(filerespow,fileresu); + if((ficrespow=fopen(filerespow,"w"))==NULL) { + printf("Problem with resultfile: %s\n", filerespow); + fprintf(ficlog,"Problem with resultfile: %s\n", filerespow); + } +#ifdef GSL + fprintf(ficrespow,"# GSL optimization\n# iter -2*LL"); +#else + fprintf(ficrespow,"# Powell\n# iter -2*LL"); +#endif + /* for (i=1;i<=nlstate;i++) + for(j=1;j<=nlstate+ndeath;j++) + if(j!=i)fprintf(ficrespow," p%1d%1d",i,j); + */ + fprintf(ficrespow,"\n"); +#ifdef GSL + /* gsl starts here */ + T = gsl_multimin_fminimizer_nmsimplex; + gsl_multimin_fminimizer *sfm = NULL; + gsl_vector *ss, *x; + gsl_multimin_function minex_func; - p[1]=0.1; p[2]=0.1; - /*printf("%lf %lf", p[1], p[2]);*/ + /* Initial vertex size vector */ + ss = gsl_vector_alloc (NDIM); + if (ss == NULL){ + GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0); + } + /* Set all step sizes to 1 */ + gsl_vector_set_all (ss, 0.001); + + /* Starting point */ - printf("Powell\n"); fprintf(ficlog,"Powell\n"); - strcpy(filerespow,"pow-mort"); - strcat(filerespow,fileres); - if((ficrespow=fopen(filerespow,"w"))==NULL) { - printf("Problem with resultfile: %s\n", filerespow); - fprintf(ficlog,"Problem with resultfile: %s\n", filerespow); - } - fprintf(ficrespow,"# Powell\n# iter -2*LL"); - /* for (i=1;i<=nlstate;i++) - for(j=1;j<=nlstate+ndeath;j++) - if(j!=i)fprintf(ficrespow," p%1d%1d",i,j); - */ - fprintf(ficrespow,"\n"); + x = gsl_vector_alloc (NDIM); + + if (x == NULL){ + gsl_vector_free(ss); + GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0); + } + + /* Initialize method and iterate */ + /* p[1]=0.0268; p[NDIM]=0.083; */ + /* gsl_vector_set(x, 0, 0.0268); */ + /* gsl_vector_set(x, 1, 0.083); */ + gsl_vector_set(x, 0, p[1]); + gsl_vector_set(x, 1, p[2]); + + minex_func.f = &gompertz_f; + minex_func.n = NDIM; + minex_func.params = (void *)&p; /* ??? */ + + sfm = gsl_multimin_fminimizer_alloc (T, NDIM); + gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss); + + printf("Iterations beginning .....\n\n"); + printf("Iter. # Intercept Slope -Log Likelihood Simplex size\n"); - powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz); + iteri=0; + while (rval == GSL_CONTINUE){ + iteri++; + status = gsl_multimin_fminimizer_iterate(sfm); + + if (status) printf("error: %s\n", gsl_strerror (status)); + fflush(0); + + if (status) + break; + + rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6); + ssval = gsl_multimin_fminimizer_size (sfm); + + if (rval == GSL_SUCCESS) + printf ("converged to a local maximum at\n"); + + printf("%5d ", iteri); + for (it = 0; it < NDIM; it++){ + printf ("%10.5f ", gsl_vector_get (sfm->x, it)); + } + printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval); + } + + printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n"); + + gsl_vector_free(x); /* initial values */ + gsl_vector_free(ss); /* inital step size */ + for (it=0; it
| Model= | 1 | + age | "); + if(nagesqr==1){ + printf(" + age*age "); + fprintf(ficres," + age*age "); + fprintf(ficlog," + age*age "); + fprintf(fichtm, "+ age*age | "); + } + for(j=1;j <=ncovmodel-2;j++){ + if(Typevar[j]==0) { + printf(" + V%d ",Tvar[j]); + fprintf(ficres," + V%d ",Tvar[j]); + fprintf(ficlog," + V%d ",Tvar[j]); + fprintf(fichtm, "+ V%d | ",Tvar[j]); + }else if(Typevar[j]==1) { + printf(" + V%d*age ",Tvar[j]); + fprintf(ficres," + V%d*age ",Tvar[j]); + fprintf(ficlog," + V%d*age ",Tvar[j]); + fprintf(fichtm, "+ V%d*age | ",Tvar[j]); + }else if(Typevar[j]==2) { + printf(" + V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]); + fprintf(ficres," + V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]); + fprintf(ficlog," + V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]); + fprintf(fichtm, "+ V%d*V%d | ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]); + } + } + printf("\n"); + fprintf(ficres,"\n"); + fprintf(ficlog,"\n"); + fprintf(fichtm, "
|---|---|---|---|---|---|---|
| %1d%1d | ",i,k); for(j=1; j <=ncovmodel; j++){ - printf("%f ",p[jk]); - fprintf(ficlog,"%f ",p[jk]); - fprintf(ficres,"%f ",p[jk]); + printf("%12.7f ",p[jk]); + fprintf(ficlog,"%12.7f ",p[jk]); + fprintf(ficres,"%12.7f ",p[jk]); + fprintf(fichtm, "%12.7f | ",p[jk]); jk++; } printf("\n"); fprintf(ficlog,"\n"); fprintf(ficres,"\n"); + fprintf(fichtm, "
The Wald test results are output only if the maximimzation of the Likelihood is performed (mle=1)\nParameters, Wald tests and Wald-based confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W \n It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities and its graphs'.\n",optionfilehtmcov); + fprintf(fichtm,"\n
| Model= | 1 | + age | "); + if(nagesqr==1){ + printf(" + age*age "); + fprintf(ficres," + age*age "); + fprintf(ficlog," + age*age "); + fprintf(fichtm, "+ age*age | "); + } + for(j=1;j <=ncovmodel-2;j++){ + if(Typevar[j]==0) { + printf(" + V%d ",Tvar[j]); + fprintf(fichtm, "+ V%d | ",Tvar[j]); + }else if(Typevar[j]==1) { + printf(" + V%d*age ",Tvar[j]); + fprintf(fichtm, "+ V%d*age | ",Tvar[j]); + }else if(Typevar[j]==2) { + fprintf(fichtm, "+ V%d*V%d | ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]); + } + } + fprintf(fichtm, "
|---|---|---|---|---|---|---|
| %1d%1d | ",i,k); + for(j=1; j <=ncovmodel; j++){ + wald=p[jk]/sqrt(matcov[jk][jk]); + printf("%12.7f(%12.7f) W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk],sqrt(matcov[jk][jk]), p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk])); + fprintf(ficlog,"%12.7f(%12.7f) W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk],sqrt(matcov[jk][jk]), p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk])); + if(fabs(wald) > 1.96){ + fprintf(fichtm, "%12.7f (%12.7f)",p[jk],sqrt(matcov[jk][jk])); + }else{ + fprintf(fichtm, " | %12.7f (%12.7f)",p[jk],sqrt(matcov[jk][jk])); + } + fprintf(fichtm,"W=%8.3f",wald); + fprintf(fichtm,"[%12.7f;%12.7f] | ", p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk])); + jk++; + } + printf("\n"); + fprintf(ficlog,"\n"); + fprintf(fichtm, "
Local time at start %s
Local time at end %s
",strstart, strtend); + fprintf(fichtm,"
Local time at start %s
Local time at end %s
\n",strstart, strtend); fclose(fichtm); + fprintf(fichtmcov,"
Local time at start %s
Local time at end %s
\n",strstart, strtend); fclose(fichtmcov); fclose(ficgp); fclose(ficlog); /*------ End -----------*/ + - chdir(path); - strcpy(plotcmd,"\""); - strcat(plotcmd,pathimach); - strcat(plotcmd,GNUPLOTPROGRAM); - strcat(plotcmd,"\""); - strcat(plotcmd," "); - strcat(plotcmd,optionfilegnuplot); - printf("Starting graphs with: %s",plotcmd);fflush(stdout); +/* Executes gnuplot */ + + printf("Before Current directory %s!\n",pathcd); +#ifdef WIN32 + if (_chdir(pathcd) != 0) + printf("Can't move to directory %s!\n",path); + if(_getcwd(pathcd,MAXLINE) > 0) +#else + if(chdir(pathcd) != 0) + printf("Can't move to directory %s!\n", path); + if (getcwd(pathcd, MAXLINE) > 0) +#endif + printf("Current directory %s!\n",pathcd); + /*strcat(plotcmd,CHARSEPARATOR);*/ + sprintf(plotcmd,"gnuplot"); +#ifdef _WIN32 + sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach); +#endif + if(!stat(plotcmd,&info)){ + printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout); + if(!stat(getenv("GNUPLOTBIN"),&info)){ + printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout); + }else + strcpy(pplotcmd,plotcmd); +#ifdef __unix + strcpy(plotcmd,GNUPLOTPROGRAM); + if(!stat(plotcmd,&info)){ + printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout); + }else + strcpy(pplotcmd,plotcmd); +#endif + }else + strcpy(pplotcmd,plotcmd); + + sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot); + printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout); + strcpy(pplotcmd,plotcmd); + if((outcmd=system(plotcmd)) != 0){ - printf(" Problem with gnuplot\n"); + printf("Error in gnuplot, command might not be in your path: '%s', err=%d\n", plotcmd, outcmd); + printf("\n Trying if gnuplot resides on the same directory that IMaCh\n"); + sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot); + if((outcmd=system(plotcmd)) != 0){ + printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd); + strcpy(plotcmd,pplotcmd); + } } - printf(" Wait..."); + printf(" Successful, please wait..."); while (z[0] != 'q') { /* chdir(path); */ - printf("\nType e to edit output files, g to graph again and q for exiting: "); + printf("\nType e to edit results with your browser, g to graph again and q for exit: "); scanf("%s",z); /* if (z[0] == 'c') system("./imach"); */ if (z[0] == 'e') { - printf("Starting browser with: %s",optionfilehtm);fflush(stdout); - system(optionfilehtm); +#ifdef __APPLE__ + sprintf(pplotcmd, "open %s", optionfilehtm); +#elif __linux + sprintf(pplotcmd, "xdg-open %s", optionfilehtm); +#else + sprintf(pplotcmd, "%s", optionfilehtm); +#endif + printf("Starting browser with: %s",pplotcmd);fflush(stdout); + system(pplotcmd); } else if (z[0] == 'g') system(plotcmd); else if (z[0] == 'q') exit(0); } - end: +end: while (z[0] != 'q') { - printf("\nType q for exiting: "); + printf("\nType q for exiting: "); fflush(stdout); scanf("%s",z); } + printf("End\n"); + exit(0); } - - -