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- W2009321390 abstract "A new approach is described for improving statistical tests of independence between two categorical variables R and C , where C is ordinal and R may or may not be ordinal. Common tests of independence that exploit the ordinality of C use a restricted-alternative approach. A different, relaxed-null approach to improving tests of independence is considered. Specifically, the M -moment score test is introduced and shown to be an attractive alternative to well known restricted-alternative tests, such as the row-means Cochran-Mantel-Haenszel test, the Kruskal-Wallis test, and the likelihood-ratio test based on the cumulative-logit row-effects model or the log-linear row-effects model. Unlike these restricted-alternative tests, which are designed to detect location shifts, the M -moment score test is designed to be powerful for detecting shifts in any of the first M conditional moments of C across the values of R . Using multinomial-Poisson homogeneous modeling theory, the M -moment score tests are shown to be computationally and conceptually simple, with an attractive complement consistency property. Results of a simulation study compare the M -moment score test to several other commonly-used tests on the basis of their operating characteristics." @default.
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- W2009321390 date "2013-12-01" @default.
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- W2009321390 title "Improved tests of independence in singly-ordered two-way contingency tables" @default.
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- W2009321390 doi "https://doi.org/10.1016/j.csda.2013.06.014" @default.
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