Apply a three-group discrete mixture model to the baseball average data. A two group mixture, with code

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Apply a three-group discrete mixture model to the baseball average data. A two group mixture, with code as below, gives an LPML (for the original data) of -726.5 , with plots of \(p_{\text {new }}\) suggesting some bimodality - though the posterior predictive criterion regarding maximum \(p_{\text {new }}\) is still approaching 0.9 .

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