In a high dimensional linear regression model, we propose a new procedure for testing statistical significance of a subset of regression coefficients. Specifically, we employ the partial covariances between the response variable and the tested covariates to obtain a test statistic. The resulting...

In simple least squares regression, formal choice of one of two candidate independent variables (IVs) may be done using a test due to Harold Hotelling. The null hypothesis is that each of the two candidate independent variables is equally correlated with the dependent. In this paper, Hotelling's...

When considering multiple hypothesis tests simultaneously, standard statistical techniques will lead to over-rejection of null hypotheses unless the multiplicity of the testing framework is explicitly considered. In this paper we discuss the Romano-Wolf multiple hypothesis correction, and...

Researchers utilizing regression discontinuity design (RDD) commonly test for running variable (RV) manipulation around a cutoff, but incorrectly assert that insignificant manipulation test statistics are evidence of negligible manipulation. I introduce simple frequentist equivalence testing...