- Generalized linear mixed model
In

statistics , a**generalized linear mixed model**(GLMM) is a particular type ofmixed model (multilevel model ). It is an extension to thegeneralized linear model in which the linear predictor containsrandom effects in addition to the usualfixed effects . These random effects are usually assumed to have anormal distribution .Fitting such models by

maximum likelihood involves integrating over these random effects. In general, these integrals cannot be expressed in analytical form. Various approximate methods have been developed, but none has good properties for all possible models anddata set s (ungroupedbinary data being particularly problematic). For this reason, methods involvingnumerical quadrature orMCMC have increased in use as increasing computing power and advances in methods have made them more practical.**References***

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