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I am familiar with Rubins rules for combining results from multiple impuations to get a regression estimate and variance.

I was wondering, when estimating a proportion bound from 0 to 1 from multiply imputed data, does Rubins rules still apply?

Also, if I wanted to calculate Clopper Pearson, Korn Graubbard or another type of non-symetric confidence interval that doesn't use the standard error in the equation, how would I do this? Would I calculate the lower point and upper bound the same way I would to calculate the point estimate?

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