The degrees of freedom for a denominator in a one-way ANOVA test including 3 population means with 10 observations sampled from each population is equal to:

A) 30
B) 27
C) 13
D) 12
E) 9

Question

The degrees of freedom for a denominator in a one-way ANOVA test including 3 population means with 10 observations sampled from each population is equal to:A)  30B)  27C)  13D)  12E)  9

Lesly JUNIOR · Accepted Answer

Final Answer : B, Explanation :  For a one-way ANOVA test with k groups and n observations per group, the degrees of freedom for the denominator (error or within-group variability) is (k-1)(n-1). Therefore, in this case, the degrees of freedom for the denominator is (3-1)(10-1) = 18, which corresponds to answer choice B.

The degrees of freedom for a denominator in a one-way ANOVA test including 3 population means with 10 observations sampled from each population is equal to:

A) 30
B) 27
C) 13
D) 12
E) 9

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