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The are a lot of things going on in your question

This paper discusses one type of endogeneity and what to do about it

Explaining Fixed Effects: Random Effects modelling of Time-Series Cross-Sectional and Panel Data
Andrew Bell, Kelvyn Jones

available from

https://www.researchgate.net ...

This quite usual and to be expected due to the binary nature of the response - see for single -level models

http://www.ats.ucla.edu/stat/stata/webb ... talog3.htm

In multilevel models, the q-q plots are more useful for the Normality assumption of the higher-level residuals

Unfortunately these are axiomatic assumptions that allow the model to work but they are not directly testable; to my knowledge at least!

Yes you can still informally evaluate the Normality assumption by a q-q plot of the residuals at the higher levels.

I am taking over from Chris in replying.

Although MLwin can be sued in a point and click mode; it assumes you know what you are doing! It is therefore well worth spending a couple of hours working through the examples in the Manual so you get a good feel for the way the software works; before you ...

One way would be to pool all the six different studies into one data set and create and indicator dummy for each of the six different studies. Then in addition to your overall model add in the set of dummies to see if this makes a difference. You can also interact the dummies with the predictor ...

Unlike some software (such as HLM), MLwiN has level 2 variables in the main equation. If they are really level 2 variables, they will show with a j subscript, and not an ij subscript, as they are constant at level 2. If they do not show as j there is probably something wrong with the sorting of the ...

I am sorry that this is not a general statistics forum but one for the MlwiN software.

But here is a short answer - one can think of approaches on a continuum from non-parametric (robust) to highly parametric and demanding in terms of assumptions. In terms of survival models of survival models this ...

Interesting question! There is some debate about the choice of models in the literature; I would recommend looking at

Alastair H Leyland and Øyvind Næss (2009) The effect of area of residence over the life course on subsequent mortality, J R Stat Soc Ser A Stat Soc. 2009 June; 172(3): 555–578.
doi ...

When you specify a multivariate model with several responses in MLwin , it creates a long vector with interleaved responses. In the User manual on page 213 you will see that the two responses of coursework and written have this pattern. You will also see that there is a dummy variable that picks out ...