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The number of responses r is modeled as a binomial random variable for each combination of the explanatory variable values, with the binomial number of trials parameter equal to the number of subjects ...
The next three statements define pij, and the MODEL statement defines the conditional distribution of xij to be binomial. The RANDOM statement defines U to be the random effect with subjects defined ...
Sequential Sampling: Two Decision Problems with Linear Losses for Binomial and Normal Random Variables D. V. Lindley and B. N. Barnett Biometrika , pp. 507-532 (26 pages) ...