Question 1

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  False

Question 2

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 3

The total variation in y is _ .

Accepted Answer

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

Question 4

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

Accepted Answer

A)  By comparing the Y variance estimates based on between- group and within group variation, we can test the null hypothesis. 
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)  Because it is not known that all the groups have the same mean, we cannot calculate the variance of all the observations together. 
D)  All statements are correct. 
A)  By comparing the Y variance estimates based on between- group and within group variation, we can test the null hypothesis. 
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)  Because it is not known that all the groups have the same mean, we cannot calculate the variance of all the observations together. 
D)  All statements are correct.

Question 5

Omega squared, m2, indicates what proportion of the variation in the dependent variable is related to a particular independent variable or factor.

Accepted Answer

A) True 
 B)False

Question 6

The null hypothesis for ANOVA is that all means are not equal.

Accepted Answer

A) True 
 B)False

Question 7

Analysis of variance and analysis of covariance are tests of differences between two means or median.

Accepted Answer

A) True 
 B)False

Question 8

Suppose that four groups, each consisting of 100 randomly selected individuals, were exposed to four different commercials about Tide detergent. After seeing the commercial, each individual provided ratings on preference for Tide, preference for Proctor and Gamble (the company making Tide), and preference for the commercial itself. Because these three preference variables are correlated, should be conducted to determine which commercial is the most effective (produced the highest preferences across the three variables).

Accepted Answer

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

Question 9

A particular combination of factor levels, or categories, is called a treatment.

Accepted Answer

A) True 
 B)False

Question 10

Which of the statistical techniques below does not involve a metric independent variable (Figure 16.1 in the text)?

Accepted Answer

A)  ANOVA 
B)  t test 
C)  regression 
D)  Both A and B are correct. 
A)  ANOVA 
B)  t test 
C)  regression 
D)  Both A and B are correct.

Question 11

A major advantage of is that it enables the researcher to examine interactions between the factors.

Accepted Answer

A)  t tests 
B)  n- way ANOVA 
C)  one- way ANOVA 
D)  F tests 
A)  t tests 
B)  n- way ANOVA 
C)  one- way ANOVA 
D)  F tests

Question 12

Which statement is correct if the null hypothesis for a one- way ANOVA is rejected?

Accepted Answer

A)  The effect of the independent variable is significant. 
B)  The independent variable does not have a significant effect on the dependent variable. 
C)  The mean value of the dependent variable will be the same for different categories of the independent variable. 
D)  Both B and C are correct. 
A)  The effect of the independent variable is significant. 
B)  The independent variable does not have a significant effect on the dependent variable. 
C)  The mean value of the dependent variable will be the same for different categories of the independent variable. 
D)  Both B and C are correct.

Question 13

is an ANOVA technique for examining the difference in the central tendencies of more than two groups when the dependent variable is measured on an ordinal scale.

Accepted Answer

A)  Nonmetric ANOVA 
B)  Contrasts 
C)  Repeated measures ANOVA 
D)  Multivariate analysis of variance (MANOV
A)  
A)  Nonmetric ANOVA 
B)  Contrasts 
C)  Repeated measures ANOVA 
D)  Multivariate analysis of variance (MANOV
A)

Question 14

is an ANOVA technique using two or more metric dependent variables.

Accepted Answer

A)  Nonmetric ANOVA 
B)  Contrasts 
C)  Repeated measures ANOVA 
D)  Multivariate analysis of variance (MANOV
A)  
A)  Nonmetric ANOVA 
B)  Contrasts 
C)  Repeated measures ANOVA 
D)  Multivariate analysis of variance (MANOV
A)

Question 15

Repeated measures analysis of variance may be thought of as an extension of the to the case of more than two related samples.

Accepted Answer

A)  z test 
B)  paired samples t test 
C)  F test 
D)  t test 
A)  z test 
B)  paired samples t test 
C)  F test 
D)  t test

Question 16

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 17

are used to examine differences among two or more means of the treatment groups.

Accepted Answer

A)  Contrasts 
B)  Nonmetric ANOVA 
C)  Repeated measures ANOVA 
D)  Multivariate analysis of variance (MANOV
A)  
A)  Contrasts 
B)  Nonmetric ANOVA 
C)  Repeated measures ANOVA 
D)  Multivariate analysis of variance (MANOV
A)

Question 18

A test of the significance of the main effect for each individual factor is a test of the .

Accepted Answer

A)  significance of the overall effect 
B)  multiple y2 
C)  significance of the interaction effect 
D)  significance of the main effect 
A)  significance of the overall effect 
B)  multiple y2 
C)  significance of the interaction effect 
D)  significance of the main effect

Question 19

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

Accepted Answer

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

Question 20

Which statement is not true concerning interactions resulting from ANOVA?

Accepted Answer

A)  Disordinal interactions of a crossover type represent the weakest interactions. 
B)  In disordinal interactions of a crossover type, the relative effect of the levels of one factor changes with the levels of the other. 
C)  Because it involves a change in rank order, disordinal interaction is stronger than ordinal interaction. 
D)  In ordinal interaction, the rank order of the effects related to one factor does not change across the levels of the second factor. 
A)  Disordinal interactions of a crossover type represent the weakest interactions. 
B)  In disordinal interactions of a crossover type, the relative effect of the levels of one factor changes with the levels of the other. 
C)  Because it involves a change in rank order, disordinal interaction is stronger than ordinal interaction. 
D)  In ordinal interaction, the rank order of the effects related to one factor does not change across the levels of the second factor.

Exam 16: Analysis of Variance and

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.

Explain SSbetween, SSwithin, and SSy and their relationship.

The total variation in y is _ .

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

Omega squared, m2, indicates what proportion of the variation in the dependent variable is related to a particular independent variable or factor.

The null hypothesis for ANOVA is that all means are not equal.

Analysis of variance and analysis of covariance are tests of differences between two means or median.

A particular combination of factor levels, or categories, is called a treatment.

Which of the statistical techniques below does not involve a metric independent variable (Figure 16.1 in the text)?

A major advantage of is that it enables the researcher to examine interactions between the factors.

Which statement is correct if the null hypothesis for a one- way ANOVA is rejected?

is an ANOVA technique for examining the difference in the central tendencies of more than two groups when the dependent variable is measured on an ordinal scale.

is an ANOVA technique using two or more metric dependent variables.

Repeated measures analysis of variance may be thought of as an extension of the to the case of more than two related samples.

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

are used to examine differences among two or more means of the treatment groups.

A test of the significance of the main effect for each individual factor is a test of the .

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

Which statement is not true concerning interactions resulting from ANOVA?

Introduction to Marketing

Defining the Marketing Research

Research Design

Exploratory Research Design

Exploratory Research Design

Descriptive Research Design

Causal Research Design

Measurement and Scaling

Measurement and Scaling

Questionnaire and Form

Sampling: Design and

Sampling: Final and Initial

Fieldwork

Data Preparation

Frequency Distribution, Crosstabulation, and Hypothesis

Correlation and Regression

Discriminant and Logit

Factor Analysis

Cluster Analysis

Multidimensional Scaling and

Structural Equation Modeling

Report Preparation and

International Marketing

Filters

Explain SS_between, SS_within, and SS_yand their relationship.

Omega squared, m², indicates what proportion of the variation in the dependent variable is related to a particular independent variable or factor.