how to calculate the chi-square distribution in matlab

To calculate the chi-square distribution in MATLAB, we can use the chi2pdf, chi2cdf, or chi2inv functions from the Statistics and Machine Learning Toolbox.

chi2pdf calculates the probability density function of the chi-square distribution at a given x-value and degrees of freedom.

main.m
% Example usage of chi2pdf
x = 0:0.1:10;
dof = 5;
y = chi2pdf(x, dof);
plot(x, y)
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chi2cdf calculates the cumulative distribution function of the chi-square distribution up to a given x-value and degrees of freedom.

main.m
% Example usage of chi2cdf
x = 5;
dof = 10;
p = chi2cdf(x, dof);
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chi2inv calculates the inverse cumulative distribution function of the chi-square distribution at a given probability and degrees of freedom.

main.m
% Example usage of chi2inv
p = 0.05;
dof = 8;
x = chi2inv(p, dof);
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Note that dof is the degrees of freedom parameter for the chi-square distribution.