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I want to know if I can run a Hausman test for Random Effects and First-Difference models with different regressors? For Example:

MODre = X + Y + Z

MODfd = X + Y + C

Where X, Y, Z, C are some explanatory variables.

Thank You.

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The Hausman test only takes the common variables of both models (and compares them). The test does not tell you anything about the non-common variables as those are not compared and dropped in the test (for most statistic packages).

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