Chapter 12, Problem 1P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Explain why the *F*-ratio is expected to be near 1.00 the null hypothesis is true.

To determine

**To explain:** The reason for the *F-*ratio being nearby 1 when the null hypothesis is true.

Answer

When the treatment effect is null, then numerator and denominator in *F* ratio will have the same source of variability. In such cases, *F* ratio gets balanced and takes a value near to 1.

Explanation

The null hypothesis in ANOVA is: There is no treatment effect.

The *F* ratio is given as:

When null hypothesis is true which means treatment effects are null or not significant, then *F* ratio is:

When the treatment effect is null, then numerator and denominator in *F* ratio will have the same source of variability. Since, *F* ratio will be 1.

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