Suppose you were conducting an ANOVA with 6 groups of 10 participants each. What are your between-groups and within-groups degrees of freedom, respectively?



Answer :

Answer: Between-groups: 5; within-groups: 54

Step-by-step explanation:

1. The between-groups degrees of freedom is calculated with the formula:

[tex]df_{between}=k-1[/tex], where k is the number of groups.

Since there are 6 groups:

[tex]df_{between}=6-1=5[/tex]

2. The within-groups degrees of freedom is calculated with the formula:

[tex]df_{within}=N-k[/tex], where N is the total number of participants.

Each group has 10 participants and there are 6 groups, so:

N = 6 × 10 = 60

[tex]df_{within}=60-6=54[/tex]