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When regressing a dependent variable y on some feature vector x with a standard linear regression, is there any correction in place for multiplicity or is this just not relevant in this case?

The motivation for this question is that when I run several regression specifications (e.g. with or without interaction effects), I know that I have to perform some correction for the multiple testing to correct confidence intervals and p values (e.g. Benjamini-Hochberg Correction).

Now when I have a feature vector with e.g. 10 different independent variables, is estimating their coefficients equivalent to multiple testing?

aru_bdd
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