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June, 1947 An Extension to Two Populations of an Analogue of Student's $t$-Test Using the Sample Range
John E. Walsh
Ann. Math. Statist. 18(2): 280-285 (June, 1947). DOI: 10.1214/aoms/1177730445

Abstract

The modified $t$-test considered by Daly$^1$ (see [1]) is used to develop one-sided significance tests to decide whether the mean of a new normal population exceeds the mean of an old normal population having the same variance. Significance tests are also developed to decide whether the mean of the new population is less than the mean of the old population. These tests require very little computation for their application and are approximately as powerful as the most powerful tests of these hypotheses.

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John E. Walsh. "An Extension to Two Populations of an Analogue of Student's $t$-Test Using the Sample Range." Ann. Math. Statist. 18 (2) 280 - 285, June, 1947. https://doi.org/10.1214/aoms/1177730445

Information

Published: June, 1947
First available in Project Euclid: 28 April 2007

zbMATH: 0032.04001
MathSciNet: MR21282
Digital Object Identifier: 10.1214/aoms/1177730445

Rights: Copyright © 1947 Institute of Mathematical Statistics

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Vol.18 • No. 2 • June, 1947
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