Dear Jan, just some thoughts on your problem. 

The general location model distinguishes between categorical variables W and
continuous variables Z. It is not clear to me how you specified your model.
Perhaps the rocket phenomenon might be caused by sparseness in the data,
e.g. if you use age in years as a categorical variable. I'm not that
familiar with the mix software, so I can be of little help there.

I would take the following approach to solve your imputation problem. In the
case where there is missing data in only one variable (e.g. astma),
iteration is not necessary at all. I would fit a logistic regression model
to predict astma given age, gender and response for all cases that are
completely observed. Next assuming MAR, I would use that model to multiply
impute the missing astma scores given the three predictors. Some care needs
to be taken to include the appropriate amount of noise, but the basic tricks
are known (see ch 5 of Rubin 1987). 

If two variables have missing scores (say astma and smoking), a similar
strategy can be followed. Specify two models A and S: 1) Astma given all
others, and 2) Smoking given all others. Presumably, both model A and S are
logistic regression models. There is now a new problem however: the
predictors in models A and S are incomplete, i.e. in model A the score for
smoking is unknown for some cases, and in model S the score for astma is
incomplete. The idea of now impute some starting values for A and S, then
fit the imputation model A, multiply impute missing Astma scores, fit
imputation model S using the last imputed values, impute missing smoking
scores, refit model A using the last imputed values, re-impute missing astma
scores, and so on. Eventually, such a sequence convergences to a stationary
distribution specified by the conditionals. In my experience, five to ten
such iterations are often adequate, especially if the number of missing
values is not large.

This approach is implemented in S-Plus software called MICE, which can be
downloaded from www.multiple-imputation.com. Considering your mishap,
perhaps you could give this a try. 

Lots of succes,
Stef van Buuren

S. van Buuren PhD
Department of Statistics
TNO Prevention and Health
P.O. Box 2215
2301 CE Leiden





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