Maximum likelihood estimation for four-dimensional contingency tables under quasi-symmetry and modified quasi-symmetry

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Funo (2008) considered the maximum likelihood estimator (MLE) for three-dimensional cubic contingency tables under the assumption of quasi-symmetry. In this paper, we consider the quasi-symmetric model and some modified quasi-symmetric models for four-dimensional cubic contingency tables and obtain the maximum likelihood equations. Iterative scaling procedure (ISP) for obtaining the MLE is also discussed.

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