The number of degrees of freedom in a chi-square goodness-of-fit test is the number of categories minus the number of parameters estimated minus one.

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The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus the number of parameters estimated minus one, to account for the constraints imposed by the parameters and the total sample size.

The Number of Degrees of Freedom in a Chi-Square Goodness-Of-Fit