Hi, I conducted a Hausman test whereby I got the results as show in the screenshot. Both ROE and ROA shows fixed effects, and Tobin Q comes up with random effects. Which one should I use in this case? Or am I meant to run a fixed effects regression separately and then a random effects regression for Tobin Q?

Also, what is the difference between using Least Squares Dummy Variable (LSDV) approach vs Fixed effects panel data regression & Random effects panel data regression

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