Question

A researcher recorded the shooting percentage of 28 professional basketball players in each of four quarters in a game. What are the degrees of freedom error for a one-way within-subjects ANOVA?a) 3b) 27c) 81d) There is not enough information to answer this question.

Answer 1

Answer: c) 81

Explanation:

The formula to calculate the degrees of freedom error for a one-way within-subjects ANOVA is given by :-

`\text{df}=(n-1)*(k-1)`

Given : A researcher recorded the shooting percentage of 28 professional basketball players in each of four quarters in a game.

Here , n= 28 and k= 4

Then, the degrees of freedom error for a one-way within-subjects ANOVA will be :-

`\text{df}=(28-1)*(4-1)=27*3=81`

Hence, the degrees of freedom error for a one-way within-subjects ANOVA are 81.