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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

The following values are from an independent-measures study comparing three treatment conditions.

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a. Compute the variance for each sample.

b. Compute MSwithin, which would be the denominator of the F-ratio for an ANOVA. Because the samples are all the same size, you should find that MSwithin is equal to the average of the three sample variances.

a.

To determine

To identify: The sample variance.

Explanation

Given info:

The results from an independent-measures study comparing three treatment conditions. Sample size is 10 for three treatment conditions.

Calculation:

For treatment 1

SS=63

Let S12 is the sample variance for treatment 1. The S12 is obtained as below:

S12=SSn1=63101=639=7

Thus, the sample variance for treatment 1 is 7.

For treatment 2

SS=66

Let S22 is the sample variance for treatment 2

b.

To determine

To Compute: The MSwithin using the given data.

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