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
• Details of the parameter estimation
• The probability model
• Linear Mixed-Effects Models
• Internal structure of $\Lambda_\theta$ and $\bf Z$
• Generalized Linear Mixed-Effects Models
• Normalized Gauss-Hermite Quadrature
• Evaluating the weights and abscissae
• Application to a model for contraception use
• Parametric bootstrap for linear mixed-effects models
• The parametric bootstrap
• A Simple, Linear, Mixed-effects Model
• Mixed-effects Models
• The Dyestuff and Dyestuff2 Data
• Fitting Linear Mixed Models
• The Linear Mixed-effects Probability Model
• Fields modified during the optimization
• Assessing variability of parameter estimates
• Assessing the Random Effects
• Chapter Summary
• Notation
• Exercises
• Models With Multiple Random-effects Terms
• A Model With Crossed Random Effects
• A Model With Nested Random Effects
• A Model With Partially Crossed Random Effects
• Chapter Summary
• Exercises
• Singular covariance estimates in random regression models
• Fitting a linear mixed-model to the sleepstudy data
• The bootstrap function
• The Oxboys data
• The Orthodont data
• Early childhood cognitive study