   Chapter 12, Problem 6P Essentials of Statistics for the B...

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

Solutions

Chapter
Section Essentials of Statistics for the B...

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

The following data summarize the results from an independent-measures study comparing three treatment conditions. a. Use an ANOVA with α = .05 to determine whether them are any significant differences among the three treatment means.b. Calculate η 2 to measure the effect size for this study.c. Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.

a.

To determine
Whether there are any significant differences among three treatment means.

Explanation

Given info:

The results from an independent-measures study comparing three treatment means.

Level of significance is α=0.05.

Calculation:

Let k represents the numbers of treatments. Then,

k=3

Degrees of Freedom

dfbetween=k1=31=2

Degrees of Freedom for SSwithin:

dfwithin=Nk=123=9

SSwithin is calculated as:

SSwithin=SS=8+12+16=36

Sum of squares between treatments is obtained as:

SSbetween=T2nG2N=

b.

To determine
The effect size η2 for the study.

c.

To determine

To explain: The results of the hypothesis test and the measure of effect size.

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