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#Mod?lisation du processus des valeurs manquantes ? l'aide d'un mod?le logit
pi.mcar.logit=function(tab,conditions){
nb_cond=length(levels(conditions))
nb_rep=rep(0,nb_cond)
for (i in 1:nb_cond){
nb_rep[i]=sum((conditions==levels(conditions)[i]));
}
j=1
tab2=tab
moyy=matrix(0,length(tab[,1]),nb_cond)
pi_mcar=rep(0,length(tab[1,]))
pi_mcar2=pi_mcar
pi_na=pi_mcar
a=rep(0,length(tab[1,]))
b=a
for (i in 1:nb_cond){
k=j;
moyy [,i]=apply(tab[,k:(k+nb_rep[i]-1)],1,mean,na.rm=T);
while (j<(k+nb_rep[i])){
nna=sum(is.na(tab[,j]))
pi_na[j]=nna/length(tab[,j])
tab2[,j]=as.numeric(is.na(tab[,j]))
mylogit <- glm(tab2[,j] ~ moyy[,i], family = "binomial")
a[j]=mylogit$coefficients[1]
b[j]=mylogit$coefficients[2]
#pi_mcar[j]=(exp(a[j])/(1+exp(a[j])))/pi_na[j]
pi_mcar[j]=(exp(a[j]+b[j]*max(moyy[,i],na.rm=T))/(1+exp(a[j]+b[j]*max(moyy[,i],na.rm=T))))/pi_na[j]
j=j+1;
}
}
return(list(pi.mcar=pi_mcar,coef1=a,coef2=b))
}
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