code for conducting multivariate anova (repeated-measure) with two independent variables and two dependent variables in matlab

To conduct a multivariate ANOVA with repeated measures in MATLAB for two independent and two dependent variables, you can use the manova1 function along with the repmat and reshape functions to set up your data. Here's an example of how you can do this:

main.m
% Define your variables
independentVar1 = [1; 2; 1; 2; 1; 2; 1; 2];
independentVar2 = [1; 1; 2; 2; 1; 1; 2; 2];
dependentVar1 = [20; 25; 22; 24; 19; 23; 20; 25];
dependentVar2 = [30; 35; 32; 34; 29; 33; 30; 35];

% Reshape the data
data = [dependentVar1, dependentVar2];
data = reshape(data', 2, [], length(independentVar1));
data = permute(data, [2, 1, 3]);

% Set up the design matrix
X = [ones(size(independentVar1)), independentVar1, independentVar2, independentVar1.*independentVar2];
X = repmat(X, [2, 1]);

% Conduct the MANOVA
[manovatbl, result] = manova1(data, X);
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The manova1 function returns a table of results in manovatbl and a Multivariate analysis of variance structure in result that contains the following fields:

• SSM: sum of squares due to model (independent variables)
• dfM: degrees of freedom of the model
• SSR: sum of squares due to residual error
• dfR: degrees of freedom of the residual error
• F: F statistic
• P: p-value
• stats: ANOVA statistics for each dependent variable

You can access these fields by using dot notation, e.g., result.SSM or result.stats.P.