重复测量和 MANOVA

方差分析、重复测量建模以及多响应数据的多重比较

Statistics and Machine Learning Toolbox™ 提供了各种函数，可用于单因素、双因素和 N 因素多元方差分析 (MANOVA)；方差分析 (ANOVA)；重复测量模型；以及协方差分析 (ANCOVA)。重复测量模型是一种回归模型，其中观测值具有多个响应变量。每次观测值的响应通常对应于多次的测量值。MANOVA 过程用于确定多个响应变量的变异是出现在总体组内还是出现在不同总体组之间。

函数

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使用 `RepeatedMeasures` 对象进行重复测量建模

创建 `RepeatedMeasures` 对象

fitrm Fit repeated measures model

使用 `RepeatedMeasures` 对象

`ranova`	Analysis of variance for within-subject effects in a repeated measures model
`anova`	Analysis of variance for between-subject effects in a repeated measures model
`mauchly`	Mauchly’s test for sphericity
`epsilon`	Epsilon adjustment for repeated measures anova
`multcompare`	Multiple comparison of estimated marginal means
`manova`	Multivariate analysis of variance
`coeftest`	Linear hypothesis test on coefficients of repeated measures model
`grpstats`	Compute descriptive statistics of repeated measures data by group
`margmean`	Estimate marginal means
`plot`	Plot data with optional grouping
`plotprofile`	Plot expected marginal means with optional grouping
`predict`	Compute predicted values given predictor values
`random`	Generate new random response values given predictor values

使用 `manova` 对象执行 MANOVA

创建 `manova` 对象

manova Multivariate analysis of variance (MANOVA) results (自 R2023b 起)

使用 `manova` 对象

`barttest`	Bartlett's test for multivariate analysis of variance (MANOVA) (自 R2023b 起)
`boxchart`	Box chart (box plot) for multivariate analysis of variance (MANOVA) (自 R2023b 起)
`canonvars`	Canonical variables (自 R2023b 起)
`coeftest`	Linear hypothesis test on MANOVA model coefficients (自 R2023b 起)
`groupmeans`	Mean response estimates for multivariate analysis of variance (MANOVA) (自 R2023b 起)
`multcompare`	Multiple comparison of marginal means for multiple analysis of variance (MANOVA) (自 R2023b 起)
`plotprofile`	Plot MANOVA response variable means with grouping (自 R2023b 起)
`stats`	Multivariate analysis of variance (MANOVA) table (自 R2023b 起)

在不使用对象的情况下执行 MANOVA

`manova1`	One-way multivariate analysis of variance (MANOVA)
`manovacluster`	Dendrogram of group mean clusters following MANOVA

对象

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重复测量

RepeatedMeasuresModel Repeated measures model object

MANOVA

manova Multivariate analysis of variance (MANOVA) results (自 R2023b 起)

主题

重复测量

Model Specification for Repeated Measures Models
Learn how to specify a repeated measures model in fitrm.
Mauchly’s Test of Sphericity
Learn the test of sphericity used in repeated measures models.
Compound Symmetry Assumption and Epsilon Corrections
Learn the different epsilon corrections used in p-value calculations in the repeated measures ANOVA when the compound symmetry assumption fails.
Multivariate Analysis of Variance for Repeated Measures
Learn the four different methods used in multivariate analysis of variance for repeated measures models.
Wilkinson Notation
Wilkinson notation provides a way to describe regression and repeated measures models without specifying coefficient values.

MANOVA

Perform Multivariate Analysis of Variance (MANOVA)
MANOVA is a form of ANOVA with multiple response variables. It determines whether the entire set of means is different from one group to the next.