HLM and different measures at different times

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sgcraig

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So I am doing my thesis on Conduct Disorder and Depression from early adolescence to early adulthood (3 time points) and have run into a conceptual to statisical issue I am hoping to get help on. As symptoms change for disorders over time, so do the measures. Is there a way to run a HLM (or MLM or LGC) on different measures of the same construct over time?
 
There are MANOVA-like adaptations of HLM, but if I'm understanding correctly that won't help...you have 3 different time points with 3 different "measures" of the constructs?

This will likely be a mess however it is done. There are likely ways to get at overall question you want to ask, but I don't think its not going to be anything remotely straightforward. You certain'y can't run a traditional repeated-measures-like model on variables operating on completely different metrics...you can't interpret a "change" over time as actual change given the different measures used. You could still justify co-varying out Time 1 and if you have groups you could then examine differences. I can't currently think of any way you could legitimately look at trajectories or "time" with that sort of design.
 
There's some intelligence testing lit on this using instruments that have been updated over time or that change when the participant reaches a certain age (e.g., WAIS, WIAT) that you might check as a guide.

You're going to be screwed by having only three time points though.

You might be able to swing something if your outcome was Diagnosed vs Not Diagnosed (assuming all measures have a cut point for diagnosis), because that reflects a slightly different construct than raw scores on the symptom inventory or whatever and potentially more comparable.

Wait, this is thesis data? Is this archived? You can't possibly be doing a longitudinal study for a thesis yourself....
 
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