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A non-inferiority test for R-squared with random regressors

Methodology 2020-02-24 v2

Abstract

Determining the lack of association between an outcome variable and a number of different explanatory variables is frequently necessary in order to disregard a proposed model. This paper proposes a non-inferiority test for the coefficient of determination (or squared multiple correlation coefficient), R-squared, in a linear regression analysis with random predictors. The test is derived from inverting a one-sided confidence interval based on a scaled central F distribution.

Keywords

Cite

@article{arxiv.2002.08476,
  title  = {A non-inferiority test for R-squared with random regressors},
  author = {Harlan Campbell},
  journal= {arXiv preprint arXiv:2002.08476},
  year   = {2020}
}

Comments

14 pages, 2 figures

R2 v1 2026-06-23T13:47:28.738Z