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The Exact Likelihood Ratio Test for Equality of Two Normal Populations

Authors :
Gemai Chen
Lingyun Zhang
Xinzhong Xu
Source :
The American Statistician. 66:180-184
Publication Year :
2012
Publisher :
Informa UK Limited, 2012.

Abstract

Testing the equality of two independent normal populations is a perfect case of the two-sample problem, yet it is not treated in the main text of any textbook or handbook. In this article, we derive the exact distribution of the likelihood ratio test and implement this test with an R function. This article has supplementary materials online.

Details

ISSN :
15372731 and 00031305
Volume :
66
Database :
OpenAIRE
Journal :
The American Statistician
Accession number :
edsair.doi...........748019378b6995c8d84ccef6f53ebc80