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Chapter 13: Q.13.23 (page 532)

In one-way ANOVA, what is the residual of an observation?

Short Answer

Expert verified

The residuals plot should be horizontal band centered and symmetric about a horizontal axis.

Step by step solution

01

Given Information

Consider ANOVA in one direction.

02

Explanation

The residual is calculated for each value in one-way ANOVA.

The discrepancy between the actual and expected values called the residual.

The normal probability plot of residuals is essentially linear if normality and equal standard deviations are met. The residuals plot should be horizontal band centred and symmetric about the horizontal axis.

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Most popular questions from this chapter

Discuss two methods for checking the assumptions of normal populations and equal standard deviations for a one-way ANOVA.

Staph Infections. In the article "Using EDE, ANOVA and Regression to Optimize Some Microbiology Data" (Journal of Statistics Education, Vol. 12, No. 2, online), N. Binnie analyzed bacteria culture data collected by G. Cooper at the Auckland University of Technology. Five strains of cultured Staphylococcus aureus bacteria that cause staph infections were observed for 24hours at 27oC. The following table reports bacteria counts, in millions, for different cases from each of the five strains.

At the 5%significance level, do the data provide sufficient evidence to conclude that a difference exists in mean bacteria counts among the five strains of Staphylococcus aureus? (Note: T1=104,T2=129, T3=185,T4=98,T5=194,危x2i=25,424.)

On what distribution does one-way ANOVA rely?

In this problem, consider an F-curve with df=(2,14).

Identify the degrees of freedom for the denominator.

Consider the following hypothetical samples:
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