AnovaBase.jl Documentation
AnovaBase.jl is a Julia package providing a simple framework for Analysis of Varaincae (ANOVA) on various types of julia statistical models. It is similar to function anova in R.
Functionality overview
ANOVA
anova(<model>; <type>, <test>)
anova(<test>, <model>; <type>)
anova(<models>; <test>)
anova(<test>, <models>)Model-specific ANOVA
AnovaGLM
anova_lm(<formula>, <data>; <type>, <test>)
anova_lm(<test>, <formula>, <data>; <type>)
anova_glm(<formula>, <data>, <distr>, <link>; <type>, <test>)
anova_glm(<test>, <formula>, <data>, <distr>, <link>; <type>)AnovaMixedModels
anova_lme(<formula>, <data>; <type>, <test>)
anova_lme(<test>, <formula>, <data>; <type>)AnovaFixedEffecModels
anova_lfe(<formula>, <data>, <vcov>; <type>, <test>)
anova_lfe(<test>, <formula>, <data>, <vcov>; <type>)nestedmodels
nestedmodels(<modeltype>, <formula>, <data>)
nestedmodels(<model>)Usage
This package is not intentded to be used directly. Use the following packages for different models:
| Packages for models | Packages for ANOVA | Models | Fitted by |
|---|---|---|---|
| GLM.jl | AnovaGLM.jl | TableRegressionModel{<: LinearModel} | GLM.lm or fit(LinearModel, _) |
TableRegressionModel{<: GeneralizedLinearModel} | GLM.glm or fit(GeneralizedLinearModel, _) | ||
| MixedModels.jl | AnovaMixedModels.jl | LinearMixedModel | AnovaMixedModels.lme or fit(LinearMixedModel, _) |
GeneralizedLinearMixedModel | AnovaGLM.glme or fit(GeneralizedLinearMixedModel, _) | ||
| FixedEffectModels.jl | AnovaFixedEffectModels.jl | FixedEffectModel | AnovaFixedEffectModels.lfe or FixedEffectModels.reg |
Tests for Goodness of Fit
FTest: F-testLikelihoodRatioTest,LRT: likelihood-ratio test
Types of Estimable Functions
Type I, II, III SS are supported.