The $\chi ^ { 2 }$ goodness-of-fit test statistic, when there are k categories and m parameters to be estimated from the sample data, has approximately a chi-squared distribution with $v$ degrees of freedom, where $v$ equals
A) m-k-1
B) k-m
C) k-m-1
D) m+k-1
E) k-m+1

Question

Quizplus · Accepted Answer

The degrees of freedom for a $\chi^2$ goodness-of-fit test statistic are calculated as $v = k - m - 1$, where $k$ is the number of categories and $m$ is the number of parameters estimated from the sample data.

The χ2\chi ^ { 2 }χ2 Goodness-Of-Fit Test Statistic, When There Are K Categories and M

The $\chi ^ { 2 }$ Goodness-Of-Fit Test Statistic, When There Are K Categories and M