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Essentials of Statistics for the B...

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

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Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

Example 13.1 in this chapter described a two-factor study examining performance under two audience conditions (factor B) for high and low self-esteem participants (factor A). The following summary table presents possible results from the analysis of that study. Assuming that the study used a separate sample of n = 15 participants in each treatment condition (each cell), fill in the missing values in the table. (Hint: Start with the df values.)

Source SS df MS  
Between treatments 67 _____    
Audience ____ _____ _____ F =______
Self-esteem 29 _____ _____ F =
Interaction _____ ______ _____ F = 5.50
Within treatments _____ _____ 4  
Total _____ ______    

To determine

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

Explanation

Given info:

The SSbetweenis67,MSwithinis4and FA×B is 5.5, SSBis 29 MSbetweentreatmentis2 is given. Also, Factor A and B is 2 levels each  and n=15 for all treatments.

Calculation:

Formula for df’s is dftotal=N1 for sample size N.

Thus,

dftotal=N1=(2×2×15)1=59

And,

dfA=rows1=1dfB=colums1=1

Similarly,

dfbetweentreatment=n1=41=3

Thus, dfbetweentreatment=3_.

And,

dfwithin=dftotaldfbetween=593=56

Thus, dfwithin=56_

So,

dfA×B=dfbetweentreatmentdfAdfB </

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