   Chapter 13, Problem 12P 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The following summary table presents the results from a repealed-measures ANOVA comparing three treatment conditions with a sample of n = 11 subjects. Fill in the missing values in the table. (Him: Start with the df values.) Source SS df MS   Between treatments _____ _____ _____ F= 5.00 Within treatments 80 ______     Between subjects _____ ______     Error 60 ______ ______   Total _____ ______

To determine

To find: The missing values of the repeated measure ANOVA summary table.

Explanation

Given info:

The SSerroris60,SSwithinis80and F is 5 MSbetweentreatmentis2 is given. Also, k=3 and n=11 is given.

Calculation:

Degrees of freedom:

And it is known that the degrees of freedom for sample size N is df=N1.

dfbetweentreatment=number of cells1

dfA=number of row1

dfB=number of column1

Mean square between treatment:

MSbetweentreatment=SSbetweentreatmentdfbetweentreatment

FB=MSBMSwithintreatment

FA=MSAMSwithintreatment

SSA=Total(SSB+SSwithintreatment+SSbetweentreatment+SSA×B)

SSA×B=MSA×B×dfA×B

Formula ForN:

N=nK=33

dftotal=N1=32

Thus, dftotal=32_.

dfbetween=k1=2

Thus, dfbetween=2_.

Similarly,

dfbetweensubject=n1=111=10

Thus, dfbetweensubject=10_

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