Bounds on the Size of the Likelihood Ratio Test of Independence in a Contingency Table

W. Y. Loh and X. J. Yu

Journal of Multivariate Analysis, 1993, vol. 45, issue 2, 291-304

Abstract: Bounds are obtained on the limiting size of the nominal level-[alpha] likelihood ratio test of independence in a r - c contingency table. The situations considered include sampling with both marginal totals random and with one margin fixed. Upper and lower bounds are obtained. The limiting size is greater than [alpha] when some marginal probabilities are small. As the degrees of freedom increase, the limiting size tends to 1 for all [alpha]-values.

Date: 1993
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