Question

A published report of a repeated-measures research study includes the following description of the statistical analysis. "The results show significant differences among the treatment conditions, F(2, 26) = 4.87, p <.05." a. How many treatment conditions were compared in the study? b. How many individuals participated in the study?

Answer 1

Answer:

3 treatment conditions were compared in the study.

14 individuals participated in the study.

Step-by-step explanation:

Consider the provided information.

Part (A) How many treatment conditions were compared in the study?

There are two sets of degrees of freedom; one for the numerator and one for the denominator.

F ratio is defined as: $df=(df_{\text{Between treatment}}, df_{error})$

The formula for between treatment is: $df_{\text{Between treatment}}=k-1$

Substitute $df_{\text{Between treatment}}=2$ in above formula.

$2=k-1$

$k=3$

Therefore, 3 treatment conditions were compared in the study.

Part (B) How many individuals participated in the study?

The error degree of freedom is $df_{error}=(k-1)(n-1)$

Substitute $df_{error}=26$ and k=3 in above formula.

$26=(3-1)(n-1)$

$26=2(n-1)$

$14=n$

Hence, 14 individuals participated in the study.