Question 1

Explain SSbetween,SSwithin,and SSy and their relationship.

Accepted Answer

∙ SS_between.Also denoted as SS_x,this is the variation in Y related to the variation in the means of the categories of X.This represents variation between the categories of X,or the portion of the sum of squares in Y related to X.
∙ SS_within.Also referred to as SS_error,this is the variation in Y due to the variation within each of the categories of X.This variation is not accounted for by X.
∙ SS_y.The total variation in Y is SS_y.SS_{y =}SS_between+ SS_within.

Question 2

How consumers' "intentions to buy the brand" varies with different price levels is best analyzed via ________.

Accepted Answer

A) t tests 
B) one-way ANOVA 
C) ANCOVA 
D) regression 
A) t tests 
B) one-way ANOVA 
C) ANCOVA 
D) regression B

Question 3

Multivariate analysis of variance is appropriate when there are two or more dependent variables that are correlated.

Accepted Answer

A) True 
 B)False  True

Question 4

Nonmetric analysis of variance examines the difference in the central tendencies of more than two groups when the dependent variable is measured on a nominal scale.

Accepted Answer

A) True 
 B)False

Question 5

Which F test is used in n-way ANOVA to test the significance of the overall effect?

Accepted Answer

A) F =   
B) F =   
C) F =   
D) F =   
A) F =   
B) F =   
C) F =   
D) F =

Question 6

The total variation in y is ________.

Accepted Answer

A) SSx 
B) SSwithin 
C) SSbetween 
D) SSy 
A) SSx 
B) SSwithin 
C) SSbetween 
D) SSy

Question 7

The estimated value of ω2 can be negative,in which case the estimated value of ω2 is set equal to one.

Accepted Answer

A) True 
 B)False

Question 8

Which statement about MANOVA is not true?

Accepted Answer

A) MANOVA examines group differences across multiple dependent variables simultaneously. 
B) In MANOVA,the null hypothesis is that the vectors of means on multiple dependent variables are equal across groups. 
C) MANOVA is most appropriate if there are multiple dependent variables that are uncorrelated or orthogonal. 
D) Multivariate analysis of variance is appropriate when there are two or more dependent variables that are correlated. 
A) MANOVA examines group differences across multiple dependent variables simultaneously. 
B) In MANOVA,the null hypothesis is that the vectors of means on multiple dependent variables are equal across groups. 
C) MANOVA is most appropriate if there are multiple dependent variables that are uncorrelated or orthogonal. 
D) Multivariate analysis of variance is appropriate when there are two or more dependent variables that are correlated.

Question 9

The Kruskal-Wallis one-way analysis of variance and the k-sample median test have the same null hypothesis: "medians of the k populations are equal."

Accepted Answer

A) True 
 B)False

Question 10

An advanced analysis of variance procedure in which the effects of one or more metric-scaled extraneous variables are removed from the dependent variable before conducting the ANOVA is called ________.

Accepted Answer

A) analysis of covariance (ANCOV
A)  
B) one-way analysis of variance 
C) n-way analysis of variance 
D) decomposition of the total variation 
A) analysis of covariance (ANCOV
A)  
B) one-way analysis of variance 
C) n-way analysis of variance 
D) decomposition of the total variation

Question 11

The value of η2 varies between 0 and 1.

Accepted Answer

A) True 
 B)False

Question 12

A test of the significance of the interaction between two or more independent variables is a test of the ________.

Accepted Answer

A) significance of the overall effect 
B) significance of the main effect 
C) multiple η2 
D) significance of the interaction effect 
A) significance of the overall effect 
B) significance of the main effect 
C) multiple η2 
D) significance of the interaction effect

Question 13

A marketing survey conducted by EgeBank in Istanbul,Turkey used analysis of variance techniques to help identify affective and perceptual factors that differentiate alternative tourist destinations.

Accepted Answer

A) True 
 B)False

Question 14

In the ________,the categories or treatments are considered to be random samples from a universe of treatments.Inferences are made to other categories not examined in the analysis.

Accepted Answer

A) fixed-effects model 
B) random-effects model 
C) mixed-effects model 
D) standard-effects model 
A) fixed-effects model 
B) random-effects model 
C) mixed-effects model 
D) standard-effects model

Question 15

The Kruskal-Wallis one-way analysis of variance also examines the difference in medians.

Accepted Answer

A) True 
 B)False

Question 16

The null hypothesis for one-way ANOVA typically is that all ________.

Accepted Answer

A) proportions are equal 
B) means are unequal 
C) proportions are unequal 
D) means are equal 
A) proportions are equal 
B) means are unequal 
C) proportions are unequal 
D) means are equal

Question 17

Which statement is correct concerning the decomposition of the total variation?

Accepted Answer

A) Because it is not known that all the groups have the same mean,we cannot calculate the variance of all the observations together. 
B) If the population mean is the same in all the groups,then the variation in the sample means and the sizes of the sample groups can be used to estimate the variance of Y. 
C) By comparing the Y variance estimates based on between-group and within group variation,we can test the null hypothesis. 
D) All statements are correct. 
A) Because it is not known that all the groups have the same mean,we cannot calculate the variance of all the observations together. 
B) If the population mean is the same in all the groups,then the variation in the sample means and the sizes of the sample groups can be used to estimate the variance of Y. 
C) By comparing the Y variance estimates based on between-group and within group variation,we can test the null hypothesis. 
D) All statements are correct.

Question 18

Ordinal interaction involves a change in the rank order of the effects of one factor across the levels of another.

Accepted Answer

A) True 
 B)False

Question 19

The total variation in Y,denoted by SSy,can be decomposed into which two components?

Accepted Answer

A) SSy = SSx - SSerror 
B) SSy = SSbetween + SSwithin 
C) SSy = SSx + SSerror 
D) B and C are correct. 
A) SSy = SSx - SSerror 
B) SSy = SSbetween + SSwithin 
C) SSy = SSx + SSerror 
D) B and C are correct.

Question 20

In determining how different price levels will affect a household's cereal consumption,it may be essential to take household size into account.This is best analyzed by ________.

Accepted Answer

A) n-way ANOVA 
B) one-way ANOVA 
C) ANCOVA 
D) regression 
A) n-way ANOVA 
B) one-way ANOVA 
C) ANCOVA 
D) regression

Exam 16: Analysis of Variance and Covariance

Explain SSbetween,SSwithin,and SSy and their relationship.

How consumers' "intentions to buy the brand" varies with different price levels is best analyzed via ________.

Multivariate analysis of variance is appropriate when there are two or more dependent variables that are correlated.

Nonmetric analysis of variance examines the difference in the central tendencies of more than two groups when the dependent variable is measured on a nominal scale.

Which F test is used in n-way ANOVA to test the significance of the overall effect?

The total variation in y is ________.

The estimated value of ω2 can be negative,in which case the estimated value of ω2 is set equal to one.

Which statement about MANOVA is not true?

The Kruskal-Wallis one-way analysis of variance and the k-sample median test have the same null hypothesis: "medians of the k populations are equal."

An advanced analysis of variance procedure in which the effects of one or more metric-scaled extraneous variables are removed from the dependent variable before conducting the ANOVA is called ________.

The value of η2 varies between 0 and 1.

A test of the significance of the interaction between two or more independent variables is a test of the ________.

A marketing survey conducted by EgeBank in Istanbul,Turkey used analysis of variance techniques to help identify affective and perceptual factors that differentiate alternative tourist destinations.

In the ________,the categories or treatments are considered to be random samples from a universe of treatments.Inferences are made to other categories not examined in the analysis.

The Kruskal-Wallis one-way analysis of variance also examines the difference in medians.

The null hypothesis for one-way ANOVA typically is that all ________.

Which statement is correct concerning the decomposition of the total variation?

Ordinal interaction involves a change in the rank order of the effects of one factor across the levels of another.

The total variation in Y,denoted by SSy,can be decomposed into which two components?

In determining how different price levels will affect a household's cereal consumption,it may be essential to take household size into account.This is best analyzed by ________.

Introduction to Marketing Research

Defining the Marketing Research Problem and Developing an Approach

Research Design

Exploratory Research Design: Secondary Data

Exploratory Research Design: Qualitative Research

Descriptive Research Design: Survey and Observation

Causal Research Design: Experimentation

Measurement and Scaling: Fundamentals and Comparative Scaling

Measurement and Scaling: Noncomparative Scaling Techniques

Questionnaire and Form Design

Sampling: Design and Procedures

Sampling: Final and Initial Sample Size Determination

Fieldwork

Data Preparation

Frequency Distribution,cross-Tabulation,and Hypothesis Testing

Correlation and Regression

Discriminant and Logit Analysis

Factor Analysis

Cluster Analysis

Multidimensional Scaling and Conjoint Analysis

Structural Equation Modeling and Path Analysis

Report Preparation and Presentation

Filters

Explain SS_between,SS_within,and SS_y and their relationship.

The estimated value of ω²can be negative,in which case the estimated value of ω²is set equal to one.

The value of η² varies between 0 and 1.