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Essentials of Statistics for the B...

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

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BuyFindarrow_forward

Essentials of Statistics for the B...

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

A researcher conducts an independent-measures, two-factor study with two levels of factor A and three levels of factor B, using a sample of n = 12 participants in each treatment condition.

a. What are the df values for the F-ratio evaluating the main effect of factor A?

b. What are the df values for the F-ratio evaluating the main effect of factor B?

c. What are the df values for the A-ratio evaluating the interaction?

a.

To determine
The df values for the F-ratio evaluating the main effect of factor A.

Explanation

Given info:

In a two factor independent-measures study, there are two levels of factor A and three levels of factor B. The number of participants in each sample is n=12.

Calculation:

Let k1, k2 represent numbers of levels of factor A and factor B respectively. Let m represents the total numbers of treatment conditions. There are two treatment conditions for factor A and three treatment conditions for factor B. Let n represents numbers of participants in each treatment.

Then,

k1=2, k2=3,

m=k1×k2=2×3m=6

n=12.

The degrees of freedoms corresponding to MSwithintreatments are:

dfwithintreatments=(n1<

b.

To determine
The df values for the F-ratio evaluating the main effect of factor B.

c.

To determine
The df values for the F-ratio evaluating the interaction.

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