Sequential One-Sample Grouped Signed Rank Tests for Symmetry: Basic Procedures
作者:
HarrisonD. Weed,
RalphA. Bradley,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1971)
卷期:
Volume 66,
issue 334
页码: 321-326
ISSN:0162-1459
年代: 1971
DOI:10.1080/01621459.1971.10482262
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Independent groups, each of N independent observations on a random variable Z, are taken sequentially with signed ranks obtained within groups. Two tests of symmetry of the parent cdf F about the origin are developed, one based on the within-group configurations of signed ranks and the other based on the within-group sums of positive signed ranks. Some properties of F are F+(z) = 1 - [1-F-(z)]k, x≥0, k>0, and F(0) = k/(k+1) where F+and F-are respectively the conditional cdf's of non-negative and absolute negative values of Z. Properties and examples of the two procedures are given.
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