Fortwocategoricalvariables X and Y , let ij = P(X = i, Y = j), i = 1,

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Fortwocategoricalvariables X and Y , let πij = P(X = i, Y = j), i = 1, ...,r, j = 1, ...,c.

Consider H0: πij = P(X = i)P(Y = j) for all i and j with n observationshavingcellcounts

{yij}. Usingthemultinomialdistributionfor {yij} and theMLestimatefor πij of ˆπij,0 =

(yi+~n)(y+j~n) under H0 and ˆπij = yij~n under Ha, showthatthelikelihood-ratiostatisticfor testing H0 is

for ˆμij,0 = nˆπij,0. Specifyitslarge-sampledistribution.

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Foundations Of Statistics For Data Scientists With R And Python

ISBN: 9780367748456

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Authors: Alan Agresti

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Question Posted: Sep 14, 2024 08:02 AM

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Fortwocategoricalvariables X and Y , let ij = P(X = i, Y = j), i = 1,

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2 ., log (3/43,0), 1 J

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Foundations Of Statistics For Data Scientists With R And Python

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