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Essentials of Statistics for the B...

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

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

A researcher used ANOVA and computed F = 4.25 for the following data.

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a. If the mean for treatment III were changed to M = 25, what would happen to the size of the F-ratio (increase or decrease)?

b. If the SS for treatment I were changed to SS = 1400, what would happen to the size of the F-ratio (increase or decrease)?

c. If the sample means and variances were held constant but each sample size were increased to n = 20, then what would happen to the size of the F-ratio (increase or decrease)?

a.

To determine
The effect on the F-ratio size if the mean for the third treatment were changed for 35 to 25.

Explanation

Given info:

The data is provided in the question for a set of three treatment conditions and F-ratio is equal to 4.25.

Calculation:

F ratio:

The F-ratio in an ANOVA is given by the formula:

F-ratio=MSbetweenMSwithin

b.

To determine
The effect on F-ratio size if the SS of the first treatment is changed from 1005 to 1400.

c.

To determine
The effect on F-ratio size if sample size for each treatment is increased to n=20.

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