MixedModels.jl Documentation

MixedModels.jl is a Julia package providing capabilities for fitting and examining linear and generalized linear mixed-effect models. It is similar in scope to the lme4 package for R.

• Model constructors
• • Examples of linear mixed-effects model fits
  • Fitting generalized linear mixed models
• Extractor functions
• • Model-fit statistics
  • Fixed-effects parameter estimates
  • Covariance parameter estimates
  • Conditional modes of the random effects
  • Case-wise diagnostics and residual degrees of freedom
• Details of the parameter estimation
• • The probability model
  • Linear Mixed-Effects Models
  • Internal structure of $\Lambda_\theta$ and $\bf Z$
  • A blocked Cholesky factor
  • Generalized Linear Mixed-Effects Models
• Normalized Gauss-Hermite Quadrature
• • Evaluating the weights and abscissae
  • Application to a model for contraception use
• Parametric bootstrap for mixed-effects models
• • The parametric bootstrap
  • Reduced Precision Bootstrap
  • Distributed Computing and the Bootstrap
• Rank deficiency in mixed-effects models
• • Fixed effects
  • Random effects
• Alternative display and output formats