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mixed lognormal hurdle model with multiple grouping factors

For a hurdle model for repeated measurements data, the dichotomous outcome I(diversity > 0) is also a repeated measurements outcome. Hence, in the logistic regression model for this dichotomous outcome you will need to include random effects to account for the correlations. And it is logical to assume that the random effects from this logistic regression model will be correlated with the random effects of the linear mixed model for only the positive responses.

In this case the likelihood of the two parts does not split in two functionally independent parts that can be separately maximized. If this is indeed the case, then fitting the two parts separately may cause bias and loss of efficiency.

Best,
Dimitris

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Dimitris Rizopoulos
Professor of Biostatistics
Erasmus University Medical Center
The Netherlands