I have heard at least 2 meanings of "degree of freedom". The parameter in a t-distribution. The the number of values in the final calculation of a statistic that are free to vary (like using $n-1$ to estimate sample variance). Do they have any connection with each other? If so, what is that connection? This question comes from a comment by @Glen_b in another thread . He said, There is a connection between the two df's in the case where some random variable (such as a t-statistic) has a t-distribution.

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