So while all this is really cool, and I like the idea of doing EM on missing data (I've done it myself), it doesn't seem like it actually adds much, if I'm reading that right.
So while all this is really cool, and I like the idea of doing EM on missing data (I've done it myself), it doesn't seem like it actually adds much, if I'm reading that right.
The 'T' variable is likely just a case of multicollinearity with the 'E' variable and should go away on a full-scale data set. If not it can easily be removed from the model. The 'E' variable is dominating because is additionally captures cross-sectional affects across the various exercises in the regression.
That would explain the magnitude, and I agree the negative weight on T would just be due to the direct correlation between E and T.
Edit: I just realized that an exercise consists of multiple problems, so you're predicting whether or not the student will get >= 85% of the problems right on an exercise.