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Answer by BenP for Interpreting sub-sample analysis when coefficient signs...

In an analysis of variance class I explained this with tables, one containing cell means of the dependent and one containing the corresponding cell frequencies:For each of the four Gr groups the...

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Answer by Michael L for Interpreting sub-sample analysis when coefficient...

Many of the answers here are quite good, but I wanted to add on one more comment that might clear up some confusion: the example that you've given would lead to an outcome that is incredibly difficult...

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Answer by civilstat for Interpreting sub-sample analysis when coefficient...

The interpretation depends strongly on exactly what your actual variables are and how your study was designed.In my experience, Simpson's Paradox usually happens with observational data, where the...

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Interpreting sub-sample analysis when coefficient signs are opposite

Suppose I run the following OLS regression:$y = \beta_0 + \beta_1 D + \varepsilon$where $D$ is a binary variable for treatment group, and $y$ is the outcome variable, say income. $D$ is randomly...

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Answer by Peter Flom for Interpreting sub-sample analysis when coefficient...

First, I would not divide by quartile of age. If you are interested in age, I'd add it (in years) to the model, maybe add a spline of it, and maybe add interactions with D.Second, I would not try to...

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