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Journals ACM SIGAPL APL Quote Quad Volume 24 Issue 1

This paper introduces the method of log-linear analysis for performing hypothesis testing on contingency tables. The reader will see a brief development of this topic beginning with Pearson's classic chi-square test and examples of analyses on two and three dimensional tables. The idea of hierarchical models and backward elimination are discussed. Finally, the APL2 implementation of the Newton-Raphson algorithm is described. Newton-Raphson is an iterative procedure for finding the roots of a function. It is used in log-linear analysis to find the maximum-likelihood estimation of expected frequencies that cannot be calculated from expressions in closed form.

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An introduction to log-linear analysis and implementing the Newton-Raphson algorithm in APL2

McArthur, Duncan
ACM SIGAPL APL Quote Quad , Volume 24 (1)
Association for Computing Machinery – Sep 1, 1993

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