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Testing the Approximate Validity of Statistical Hypotheses

J. L. Hodges, Jr. and E. L. Lehmann
Journal of the Royal Statistical Society. Series B (Methodological)
Vol. 16, No. 2 (1954), pp. 261-268
Published by: Wiley for the Royal Statistical Society
Stable URL: http://www.jstor.org/stable/2984052
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Testing the Approximate Validity of Statistical Hypotheses
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Abstract

The distinction between statistical significance and material significance in hypotheses testing is discussed. Modifications of the customary tests, in order to test for the absence of material significance, are derived for several parametric problems, for the chi-square test of goodness of fit, and for Student's hypothesis. The latter permits one to test the hypothesis that the means of two normal populations of equal variance, do not differ by more than a stated amount.

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