how to calculate the t distribution in matlab

In MATLAB, you can calculate the t-distribution using the "tinv" function. The syntax of this function is:

main.m
tinv(p, v)
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where "p" is the probability value (between 0 and 1) and "v" is the degrees of freedom.

For example, to find the 95% confidence interval for a t-distribution with 10 degrees of freedom, you can use the following code:

main.m
p = 0.95;
v = 10;
t = tinv([p/2, 1-p/2], v)
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This will output a vector "t" with two values, representing the endpoints of the confidence interval.

You can also use the t-distribution to perform hypothesis testing. For example, to calculate the p-value for a two-tailed t-test with 20 degrees of freedom and a test statistic of 2.5, you can use the following code:

main.m
v = 20;
t = 2.5;
p = 2*(1-tcdf(abs(t),v))
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This will output the p-value, which is the probability of observing a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true.