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The Fisher information matrix for the estimated parameters in a multiple logistic regression can be approximated by the augmented Hessian matrix of the moment-generating function for the covariates.
In addition, PROC GLM allows only one model and fits the full model. See Chapter 4, "Introduction to Analysis-of-Variance Procedures," and Chapter 30, "The GLM Procedure," for more details. The CATMOD ...
Bayesian analyses of multivariate binary or categorical outcomes typically rely on probit or mixed effects logistic regression models that do not have a marginal logistic structure for the individual ...
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