how to calculate f statistic metric in matlab

To calculate the F-statistic metric in MATLAB, you can use the anova1 or anova2 functions from the Statistics and Machine Learning Toolbox. The anova1 function performs a one-way ANOVA analysis, while the anova2 function performs a two-way ANOVA analysis.

Here is an example of how to use the anova1 function to calculate the F-statistic:

main.m
% Generate some sample data
group1 = [3.4, 5.1, 6.7, 4.9, 7.2];
group2 = [2.8, 3.2, 4.1, 2.5, 3.9];
group3 = [1.9, 2.7, 2.1, 2.8, 2.3];

% Perform one-way ANOVA analysis
data = [group1, group2, group3];
group = [repmat({'Group 1'}, 1, length(group1)), ...
         repmat({'Group 2'}, 1, length(group2)), ...
         repmat({'Group 3'}, 1, length(group3))];
[p, tbl, stats] = anova1(data, group);

% Extract the F-statistic from the ANOVA table
f_statistic = tbl{2,5};
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In this example, we have three groups with sample data stored in group1, group2, and group3. We combine the data into a single variable data and create a grouping variable group specifying the group names. The anova1 function performs the one-way ANOVA analysis, and the F-statistic is extracted from the resulting ANOVA table using tbl{2,5}.

Note that the anova2 function works in a similar way but is used for two-way ANOVA analysis.