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The Distribution of Higher-Order Interactions in Contingency Tables

Journal of the Royal Statistical Society Series B (Statistical Methodology)Published 1 July 1980
Michael Edmund O'Neill
Citations8
SJR quartileQ1
SJR score3.31
SNIP2.48

Abstract

Summary Lancaster's definition of the absence of second-order interactions in contingency tables produces test statistics which have asymptotic ***x 2 distributions under complete independence, but not (in general) otherwise. This paper obtains the asymptotic distributions of all interaction components in the partitioning of Pearson's x 2, and indicates a test procedure for higher-order interactions when lower-order interactions are found to be significant.

Keywords

Computer ScienceAgricultural and Biological Sciences