Chapter 12.3, Problem 2LC

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Chapter
Section

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

# A researcher reports an F-ratio with dfbetween = 3 and dfwithin = 28 for an independent measures ANOVA. How many treatment conditions were compared in the experiment? If all the treatments have the same number of participants, then how many are in each treatment?

To determine

To find: The number of treatment conditions compared in the experiment.

To find: The number of participants in each treatment if all treatments have same number of participants.

Explanation

Given info:

The degrees of freedom between treatment (dfbetween) and within treatment (dfwithin) are 3 and 28 respectively. The number of participants are same for each treatment.

Calculation:

Degrees of freedom between treatment (dfbetween):

If there are k treatments, then the degrees of freedom between treatment (dfbetween) is:

dfbetween=k1

Substituting the values, we get:

3=k1k=4

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