Consider the ML estimator ij = p i+ p +j of ij for the independence

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Consider the ML estimator π̂ij = pi+ p+j of πij for the independence model, when that model does not hold. Show that E(pi+ p+j) = πi+ π+j(n–1)/n + πij/n. To what does π̂ij converge as n increases?

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Categorical Data Analysis

ISBN: 9780471360933

2nd Edition

Authors: Alan Agresti

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