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March, 1975 A Sequential Signed-Rank Test for Symmetry
Marion R. Reynolds Jr.
Ann. Statist. 3(2): 382-400 (March, 1975). DOI: 10.1214/aos/1176343064


A sequential procedure for testing the hypothesis that the distribution of a sequence of i.i.d. random variables is symmetric about zero is given, where the test statistic is a function of the signs and the rank of the absolute values of the observations. Necessary and sufficient conditions that the individual signed ranks be independent are given. The critical region, power, and expected sample size of the test are determined approximately by using the fact that the test statistic behaves asymptotically like a Brownian motion process.


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Marion R. Reynolds Jr.. "A Sequential Signed-Rank Test for Symmetry." Ann. Statist. 3 (2) 382 - 400, March, 1975.


Published: March, 1975
First available in Project Euclid: 12 April 2007

zbMATH: 0325.62050
MathSciNet: MR359210
Digital Object Identifier: 10.1214/aos/1176343064

Primary: 62G10
Secondary: 62L12

Keywords: Brownian motion process , Nonparametric test , sequential test , signed-rank statistic

Rights: Copyright © 1975 Institute of Mathematical Statistics


Vol.3 • No. 2 • March, 1975
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