A Test of Independence Against a Class of Ordered Alternatives in a 2 X C Contingency Table.

Autor:	Grove, D. M.
Předmět:	CONTINGENCY tables STATISTICS ASYMPTOTIC theory in statistical hypothesis testing CHI-squared test MATHEMATICAL statistics DISTRIBUTION (Probability theory) STATISTICAL hypothesis testing HYPOTHESIS
Zdroj:	Journal of the American Statistical Association; Jun80, Vol. 75 Issue 370, p454, 6p
Abstrakt:	A likelihood ratio statistic is derived for testing the hypothesis of independence in a 2 x C table against a class of ordered alternatives defined in terms of cross-product ratios. Asymptotic equivalence on the null hypothesis to a chi-squared-type statistic is established. The large-sample distribution of these statistics depends on the column totals, but numerical evidence for C = 3 and 4 suggests that the exact size of a test derived by ignoring this dependency will remain within reasonable limits for a wide range of tables encountered in practice. Some power comparisons with established test procedures are reported. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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