   # A researcher conducts an experiment comparing four treatment conditions with n - 12 scores in each condition. a. If the researcher uses an independent-measures design, how many individuals are needed for the study and what are the df values for the F-ratio? b. If the researcher uses a repeated-measures design, how many individuals are needed for the study and what are the df values for the F-ratio? ### Essentials of Statistics for The B...

9th Edition
Frederick J Gravetter + 2 others
Publisher: Cengage Learning
ISBN: 9781337098120

#### Solutions

Chapter
Section ### Essentials of Statistics for The B...

9th Edition
Frederick J Gravetter + 2 others
Publisher: Cengage Learning
ISBN: 9781337098120
Chapter 13, Problem 2P
Textbook Problem
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## A researcher conducts an experiment comparing four treatment conditions with n - 12 scores in each condition. a. If the researcher uses an independent-measures design, how many individuals are needed for the study and what are the df values for the F-ratio? b. If the researcher uses a repeated-measures design, how many individuals are needed for the study and what are the df values for the F-ratio?

a.

To determine
The numbers of individuals and df values for the F-ratio needed for the study.

### Explanation of Solution

Given info:

A researcher conducts an experiment comparing four treatment conditions with n=12 scores in each condition in an independent-measure design.

Calculation:

Let n and k represent the numbers of participants in each treatment and total numbers of treatments. Then,

n=12k=4

In case of independent-measures design, participants in each treatment are different. Let, N represents total numbers of participants in the study, then,

N=n×k=12×4=<

b.

To determine
Numbers of individuals and df values for the F-ratio needed for the study.

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