confidence interval for f distribution in matlab

To calculate a confidence interval for an F distribution in MATLAB, you can use the finv function to find the inverse of the cumulative distribution function (CDF) of the F distribution, and then use that to calculate the endpoints of the confidence interval.

Here's an example code snippet that demonstrates how to calculate a 95% confidence interval for an F distribution with 5 degrees of freedom in the numerator and 10 degrees of freedom in the denominator:

main.m
% Set the significance level
alpha = 0.05;

% Calculate the critical values of the F distribution
f_low = finv(alpha/2, 5, 10);
f_high = finv(1-alpha/2, 5, 10);

% Calculate the confidence interval
ci = [1/f_high, 1/f_low];
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In this code, alpha is the significance level, which is set to 0.05 for a 95% confidence interval. The finv function is used to calculate the critical values of the F distribution at the specified significance level, using the numerator and denominator degrees of freedom as arguments. Finally, the confidence interval is calculated as the reciprocal of the critical values. The output ci should be an array containing the endpoints of the confidence interval.