This is machine translation

Translated by Microsoft
Mouseover text to see original. Click the button below to return to the English version of the page.

Note: This page has been translated by MathWorks. Click here to see
To view all translated materials including this page, select Country from the country navigator on the bottom of this page.

Mixed Effects

Linear mixed-effects models


LinearMixedModel Linear mixed-effects model class


fitlmeFit linear mixed-effects model
fitlmematrixFit linear mixed-effects model
dispDisplay linear mixed-effects model
predict Predict response of linear mixed-effects model
random Generate random responses from fitted linear mixed-effects model
fixedEffectsEstimates of fixed effects and related statistics
randomEffects Estimates of random effects and related statistics
designMatrixFixed- and random-effects design matrices
fittedFitted responses from a linear mixed-effects model
responseResponse vector of the linear mixed-effects model
anovaAnalysis of variance for linear mixed-effects model
coefCI Confidence intervals for coefficients of linear mixed-effects model
coefTestHypothesis test on fixed and random effects of linear mixed-effects model
compareCompare linear mixed-effects models
covarianceParametersExtract covariance parameters of linear mixed-effects model
plotPartialDependenceCreate partial dependence plot (PDP) and individual conditional expectation (ICE) plots
plotResidualsPlot residuals of linear mixed-effects model
residualsResiduals of fitted linear mixed-effects model

Examples and How To

Prepare Data for Linear Mixed-Effects Models

Store data in the correct form for fitting a linear mixed-effects model.

Relationship Between Formula and Design Matrices

Understand the relationship between a model formula and the design matrices in linear mixed-effects models.

Linear Mixed-Effects Model Workflow

This example shows how to fit and analyze a linear mixed-effects model (LME).

Fit Mixed-Effects Spline Regression

This example shows how to fit a mixed-effects linear spline model.


Linear Mixed-Effects Models

Linear mixed-effects models are extensions of linear regression models for data that are collected and summarized in groups.

Estimating Parameters in Linear Mixed-Effects Models

The two most commonly used approaches to parameter estimation in linear mixed-effects models are maximum likelihood and restricted maximum likelihood methods.

Wilkinson Notation

Wilkinson notation provides a way to describe regression and repeated measures models without specifying coefficient values.