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The statistics on the number of degrees of freedom is the number of values for the final calculation of statistics, which freely vary. The term is used most often in connection with linear models (linear regression, analysis of variance), where a number of random vectors, forced to lie in linear subspaces, and the degrees of freedom is a dimension of the subspace. Degrees and freedom is also commonly associated with the length (sum of squares) of these vectors and the parameters of chi-square distribution and other problems that may arise relating to statistical testing.
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