Exam 12: The Analysis of Variance

A retailer is contemplating building a new store and has to choose between three general regions for construction (locations A, B, and C).To decide where to build, the retailer surveys five stores in each region and records the number of products sold over the same 3-day period at each of the 15 stores.The data appear below: (Given: MSE = 2740) ​ ​ Does there appear to be a difference in the mean number of products sold in at least two of the regions? Select the appropriate critical value (CV), test statistic (TS), and decision.(Use α = 0.05).

In the one-way ANOVA, the total variability is expressed as a sum of variabilities about different mean values.These component variabilities are called:

Which of the following statements correctly describes the treatment sum of squares in one-way ANOVA?

We wish to evaluate the effectiveness of a certain drug on humans.We create a two-way ANOVA design with factor A = gender, factor B = dosage, and response variable = health.If there is a significant dosage/gender interaction, which of the following statements accurately describes this relationship?

MSA (mean square due to factor) is an unbiased estimator of the common variance σ2 if:

If interaction is present in the two-way ANOVA model and a test of factor A results in rejecting H₀, then:

In a one-way ANOVA, if the null hypothesis is H₀: μ1 = μ2 = μ3 = μ4, then the alternative hypothesis is:

What are the correct assumptions for the two-way ANOVA procedure?

Why is it necessary to adjust the individual confidence level of each confidence interval for a multiple comparison of means procedure?

If interaction is present in the two-way ANOVA model and a test of factor A results in failing to reject H₀, then:

​ ​ What is the appropriate interpretation of this summary from a multiple comparison of means procedure?

is the: