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vovangra [49]
3 years ago
8

A published report of a repeated-measures research study includes the following description of the statistical analysis. "The re

sults 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?
Mathematics
1 answer:
balandron [24]3 years ago
3 0

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.

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