Selecting an optimal mixed effect model based on simulation : theory and applications

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Mixed effect models are useful for analysis of data which are measured repeatedly for each individual, and have been applied to various fields such as medical and biological sciences. However, how to select an optimal mixed effect model has not been fully examined. We proposed a criterion to select such an optimal model, which would be appropriate in theory and practically more useful. The criterion can be computed approximately by using random numbers. We confirmed that the proposed criterion should lessen risk of choosing a parsimonious model wrongly.