Chapter 12.5, Problem 1LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

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

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:

**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 .

Sect-12.2 P-1LCSect-12.2 P-2LCSect-12.2 P-3LCSect-12.2 P-4LCSect-12.3 P-1LCSect-12.3 P-2LCSect-12.3 P-3LCSect-12.4 P-1LCSect-12.4 P-2LCSect-12.5 P-1LC

Sect-12.5 P-2LCSect-12.6 P-1LCSect-12.6 P-2LCSect-12.7 P-1LCSect-12.7 P-2LCCh-12 P-1PCh-12 P-2PCh-12 P-3PCh-12 P-4PCh-12 P-5PCh-12 P-6PCh-12 P-7PCh-12 P-8PCh-12 P-9PCh-12 P-10PCh-12 P-11PCh-12 P-12PCh-12 P-13PCh-12 P-14PCh-12 P-15PCh-12 P-16PCh-12 P-17PCh-12 P-18PCh-12 P-19PCh-12 P-20PCh-12 P-21PCh-12 P-22PCh-12 P-23PCh-12 P-24P

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