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Biometrika 1976 63(3):647-654; doi:10.1093/biomet/63.3.647
© 1976 by Biometrika Trust
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Approximate probability integrals and critical values for Bartholomew's test for ordered means

V. SISKIND *

Boston University Medical Center Cambridge, Massachusetts

Critical values for Bartholomew's test of the equality of means against an alternative of simple order are available only in special cases when the number of groups exceeds four. In this paper a Taylor expansion of the null distribution of the test statistic is developed, from which adjusted critical values in the general case are derived. The adequacy of the approximation is examined when the number of groups is four or six.

Key Words: Comparison of means • Critioal values • Ordered alternatives • Probability integral


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