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

Step-by-step explanation:

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

$\text{df}=(n-1)\times(k-1)$

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 :-

$\text{df}=(28-1)\times(4-1)=27\times3=81$

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