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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781133956570
BuyFind

Essentials of Statistics for the B...

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

Solutions

Chapter
Section
Chapter 12, Problem 1P
Textbook Problem

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

Expert Solution
To determine

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

Answer to Problem 1P

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 of Solution

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

The F ratio is given as:

F=(systematic treatments effects)+(random unsystematic differences)random unsystematic differences

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

F=0+(random unsystematic differences)random unsystematic differences=random unsystematic differencesrandom unsystematic differences

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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Chapter 12 Solutions

Essentials of Statistics for the Behavioral Sciences
Show all chapter solutions
Ch. 12.5 - A research study comparing three treatment...Ch. 12.6 - With k = 2 treatments, are post hoc tests...Ch. 12.6 - Three treatments, each with a sample of n = 8...Ch. 12.7 - A researcher uses an independent-measures t test...Ch. 12.7 - An ANOVA produces an F-ratio with df = 1, 34....Ch. 12 - Explain why the F-ratio is expected to be near...Ch. 12 - Several factors influence the size of the F-ratio....Ch. 12 - Why should you use ANOVA instead of several t...Ch. 12 - Posttests are done after an ANOVA. a. What is the...Ch. 12 - An independent-measures study comparing four...Ch. 12 - The following data summarize the results from an...Ch. 12 - For the preceding problem you should find that...Ch. 12 - The following data summarize the results from an...Ch. 12 - For the preceding problem you should find that...Ch. 12 - The following data summarize the results from an...Ch. 12 - To create the following data we started with the...Ch. 12 - The following values are from an...Ch. 12 - There is some evidence that high school students...Ch. 12 - A researcher reports an F-ratio with df = 2. 27...Ch. 12 - A research report from an independent-measures...Ch. 12 - The following summary table presents the results...Ch. 12 - A pharmaceutical company has developed a drug that...Ch. 12 - A developmental psychologist is examining the...Ch. 12 - The following data were obtained from an...Ch. 12 - The following values summarize the results from an...Ch. 12 - The following data are from an...Ch. 12 - One possible explanation for why some birds...Ch. 12 - There is some research indicating that college...Ch. 12 - New research suggests that watching television,...

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