how to perform ANOVA on a matrix

Actually i want to plot the interaction and mean of a matrix by ANOVA. For example I have a matrix like below

X = rand(100,150);

there are 100 samples and 150 columns. I want to perform ANOVA and plot all interaction as well as I want to see which column is statistically significantly different from others.

Can someone help me here?

Answer 1

[David Legland]

Hi,

If you want to test whether two column have same mean or not, you can check the ttest or ttest2 functions.

[h12, p12] = ttest2(X(:,1), X(:,2));

You can iterate over pairs of columns to identify which ones gives a positive true value for h_ij, or alternatively check which pairs results in low p-values.

[Niki]

yes, for sure, but I am searching for interaction and comparison between all columns and rows of the given example matrix. The ttest2 is just for a pair of columns

Answer 2

[Thorsten]

If you have the Statistics toolbox, check out

multcompare