We are interested in using a substantive model compatible fully conditional specification (smcfcs) for multiple imputationimputations of missing data. I believe this approach will lead to more unbiased estimates than for example mice, as our analysis will consist of Cox proportional hazards regressions including interaction terms.
In smcfcs the substantive model has to be compatible with the imputation model (the imputation model needs to be nested in the substantive model). As we are also interested in non-linear relationships of continuous variables and want to includes splines, we are wondering how complex we can make the substantive model (how many variables can we include).
The substantive model will be a Cox proportional hazards regression and there are several rules of thumb in survival analysis for the complexity of a model: e.g. 10 (or maybe even lessfewer) events per variable.
We were wondering whether:
- Do these same rules of thumb apply forto the substantive model in smcfcs?
- Do you base the amountnumber of events on the complete cases, or the complete data?
- We have quite a large fraction of missing data (35% of cases), would you want teto be more conservative in such cases (i.e. more events per variable)?
It would be great if you could point me to any literature that is available on this topic.
Thank you for your time!