Cell counts {yi j} in an I×J contingency table have a multinomial (n;{πi j}) distribution.

Cell counts {yi j} in an I×J contingency table have a multinomial (n;{πi j}) distribution.

Cell counts {yi j} in an I×J contingency table have a multinomial (n;{πi j}) distribution. Show that {P(Yi j=ni j., i=1, . . . , I, j=1, . . . , J } can be expressed as

where and d is a constantindependent of the data. Find an alternative expression using local odds ratios {θi j}, by showing that

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