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The Exact Likelihood Ratio Test for Equality of Two Normal Populations.

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...

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Published in:American Statistician Vol. 66; no. 3; pp. 180 - 185
Main Authors: Zhang, Lingyun, Xu, Xinzhong, Chen, Gemai
Format: Article
Published: Taylor & Francis Ltd Aug2012
Subjects:
Numerical solutions to the Dirichlet problem
Likelihood ratio tests
Statistical hypothesis testing
Finite differences
Variances
Random fields
Online Access:View this record in EBSCOhost
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        10.1080/00031305.2012.707083
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        atl: The Exact Likelihood Ratio Test for Equality of Two Normal Populations.
      aug:
        au:
          Zhang, Lingyun
          Xu, Xinzhong
          Chen, Gemai
        affil:
          Division of Science and Technology, Beijing Normal University and Hong Kong Baptist University United International College (UIC), Zhuhai, P.R. China
          Department of Mathematics, Beijing Institute of Technology, Beijing, P. R. China
          Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4, Canada
      su:
        Numerical solutions to the Dirichlet problem
        Likelihood ratio tests
        Statistical hypothesis testing
        Finite differences
        Variances
        Random fields
      sug:
        subj:
          Numerical solutions to the Dirichlet problem
          Likelihood ratio tests
          Statistical hypothesis testing
          Finite differences
          Variances
          Random fields
      keyword:
        Dirichlet distribution
        Testing hypothesis
        Two-sample problem
        Dirichlet distribution
        Testing hypothesis
        Two-sample problem
      ab: 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.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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