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Biometrika 1985 72(2):476-480; doi:10.1093/biomet/72.2.476
© 1985 by Biometrika Trust
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MISCELLANEA

Some approximations for the null distribution of the E2 statistic used in order restricted inference

SYOICHI SASABUCHI and D. D. SARATH KULATUNGA

Department of Mathematics, Kyushu University Fukuoka 812, Japan
Department of Mathematics, University of Kelaniya Kelaniya, Sri Lanka

Approximations are proposed for the null distribution of Bartholomew's E2for testing the homogeneity of normal means against simple order alternative. Numerical comparison shows that our approximations give quite satisfactory results.

Key Words: Bartholomew's E2 statistic • Beta approximation • Isotonic regression • Jacobi polynomial • Likelihood ratio test • Simple ordered alternative


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