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March, 1949 Some Significance Tests for the Median which are Valid Under Very General Conditions
John E. Walsh
Ann. Math. Statist. 20(1): 64-81 (March, 1949). DOI: 10.1214/aoms/1177730091

Abstract

Order statistics are used to derive significance tests for the population median which are valid under very general conditions. These tests are approximately as powerful as the Student $t$-test for small samples from a normal population. Also the application of a test requires very little computation. Thus the tests derived compare very favorably with the $t$-test for small sets of observations. Applications of these order statistic tests to certain well known statistical problems are given in another paper [1].

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John E. Walsh. "Some Significance Tests for the Median which are Valid Under Very General Conditions." Ann. Math. Statist. 20 (1) 64 - 81, March, 1949. https://doi.org/10.1214/aoms/1177730091

Information

Published: March, 1949
First available in Project Euclid: 28 April 2007

zbMATH: 0033.29201
MathSciNet: MR29140
Digital Object Identifier: 10.1214/aoms/1177730091

Rights: Copyright © 1949 Institute of Mathematical Statistics

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Vol.20 • No. 1 • March, 1949
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