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Note on a Test for Trend in Binomial Proportions Using Ranks
Author(s) -
Bennett B. M.
Publication year - 1981
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710230713
Subject(s) - contingency table , mathematics , statistics , statistic , binomial (polynomial) , test statistic , rank (graph theory) , negative binomial distribution , test (biology) , binomial test , statistical hypothesis testing , combinatorics , poisson distribution , paleontology , biology
For a 2xk contingency table when all the k groups fall into a natural order and for which a sequence of k values × may be assigned, ARMITAGE (1955) has suggested a X 2 (1) test statistic for the hypothesis H t of a trend in the proportions; This note considers a statistic for H t based on midrank values for the binary observations. It is shown that the proposed rank‐order test for H t coincides with that of ARMITAGE (1955).