   Chapter 12, Problem 16P Essentials of Statistics for the B...

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

Solutions

Chapter
Section Essentials of Statistics for the B...

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

The following summary table presents the results from an ANOVA comparing three treatment conditions with n = 8 participants in each condition. Complete all missing values. (Hint: Start with the df column.) To determine

To find: The missing values in the ANOVA results.

Explanation

Given info:

The data represents the four treatment combinations with a sample size n=8.

Calculation:

Here, k represents the numbers of treatments, n represents numbers of observations in each treatment and N represents the total numbers of observations. Then

k=3, n=8

Number of observations N is obtained below:

N=k×n=3×8=24

From the given table:

SStotal=93,MSbetween=15

Degrees of Freedom SSbetween:

dfbetween=k1=31=2

Degrees of Freedom SSwithin:

dfwithin=Nk=243=21

A total degree of freedoms is:

dftotal=dfbetween+dfwithin=2+21=23

SSbetween is obtained as:

SSbetween=MSbetween×(dfbetween)=15×2=

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