A chi?square goodness-of-fit test is being used to test the goodness-of-fit of a normal distribution (the mean and the standard deviation of which must be estimated)for a data with "k" categories.This test has (k-3)degrees of freedom.

Question

Quizplus · Accepted Answer

The degrees of freedom for a chi-square goodness-of-fit test when testing the goodness-of-fit of a normal distribution with estimated mean and standard deviation for a data with k categories is (k-1). However, since estimating the mean and standard deviation also requires 2 degrees of freedom, the total degrees of freedom for this test becomes (k-3).

A Chi?square Goodness-Of-Fit Test Is Being Used to Test the Goodness-Of-Fit