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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

Rock Sparrows breeding in northern Italy are the subject of a long-term ecology and conservation study due to their wide variety of breeding patterns. Both males and females have a yellow patch on their breasts that is thought to play a significant role in their sexual behavior. A Pilastro et al. conducted an experiment in which they increased or reduced the size of a female's breast patch by dying feathers at the edge of a patch and then observed several characteristics of the behavior the male. Their results were published in the paper "Male Rock Sparrow Adjust Their Breeding Strategy According to Female Ornamentation: Parental or Mating Investment? Eight mating pairs were observed in each of three groups: a reduced patch size group, a group control and an enlarged patch size group. The data on the WeissStats site, based on the results reported by the researchers, give the number of minutes per hour that makes sang in the vicinity of the nest after the patch size manipulation was done on the females.

We have provided data from independent simple random samples from several populations. In each case, determine the following items.

a. SSTR

b. MSTR

c. SSE

d. MSE

e. F

For a one-way ANOVA,

a. identify one purpose of one-way ANOVA tables.

b. construct a generic one-way ANOVA table.

If we define as s=MSEof which parameter is san estimate.
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