English

On two simple tests for normality with high power

Statistics Theory 2011-08-03 v3 Methodology Statistics Theory

Abstract

The test statistics of two powerful tests for normality \citep{lm1,mud2} are estimators of the correlation coefficient between certain sample moments. We derive new versions of the test statistics that are functions of the sample skewness and sample kurtosis. This sheds some light on the nature of these tests and leads to easier computations.

Keywords

Cite

@article{arxiv.1008.5319,
  title  = {On two simple tests for normality with high power},
  author = {Måns Thulin},
  journal= {arXiv preprint arXiv:1008.5319},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T16:07:30.741Z