Question 1

η2 assumes a value of 0 when all the category means are equal, indicating that X has no effect of X on Y.

Accepted Answer

A) True 
 B)False

Question 2

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 3

The strength of the joint effect of two (or more)factors or the overall effect is known as ________.

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 4

In one-way ANOVA, the null hypothesis may be tested by ________.

Accepted Answer

A) the t statistic 
B) F statistic 
C) chi-square 
D) eta2  
A) the t statistic 
B) F statistic 
C) chi-square 
D) eta2

Question 5

Explain SSbetween, SSwithin, and SSy and their relationship.

Accepted Answer

∙ SS_between.Also denoted as SS_x, this is the var

Question 6

Analysis of variance is so named because it examines the variability or variation in the sample (dependent variable)and, based on the variability, determines whether there is reason to believe that the population means differ.

Accepted Answer

A) True 
 B)False

Question 7

Which step are you on in the procedure for conducting one-way analysis of variance if you are decomposing SSy into two components using the equation SSy = SSbetween + SSwithin?

Accepted Answer

A) decompose the total variation 
B) measure the effects 
C) test the significance 
D) interpret the results 
A) decompose the total variation 
B) measure the effects 
C) test the significance 
D) interpret the results

Question 8

The most commonly used measure in ANOVA indicating the relative importance of factors is omega squared, (ω2).

Accepted Answer

A) True 
 B)False

Question 9

________ are determined before conducting the analysis, based on the researcher's theoretical framework.

Accepted Answer

A) Single comparison contrasts 
B) Multiple comparison contrasts 
C) A priori contrasts 
D) A posteriori contrasts 
A) Single comparison contrasts 
B) Multiple comparison contrasts 
C) A priori contrasts 
D) A posteriori contrasts

Question 10

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

Question 11

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 12

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

Question 13

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) 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 14

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 15

SSS1U1B1within S1U1B0is the variation in Y related to the variation within each category of X.

Accepted Answer

A) True 
 B)False

Question 16

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

Question 17

When using SPSS Windows one-way ANOVA can be efficiently performed using the ________ program.

Accepted Answer

A) GENERAL LINEAR MODEL 
B) NONPARAMETRIC TESTS 
C) COMPARE MEANS 
D) UNIVARIATE 
A) GENERAL LINEAR MODEL 
B) NONPARAMETRIC TESTS 
C) COMPARE MEANS 
D) UNIVARIATE

Question 18

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

Accepted Answer

A) True 
 B)False

Question 19

Analysis of covariance is most useful when the covariate is not linearly related to the dependent variable and is not related to the factors.

Accepted Answer

A) True 
 B)False

Question 20

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.

Exam 16: Analysis of Variance and Covariance

η2 assumes a value of 0 when all the category means are equal, indicating that X has no effect of X on Y.

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 strength of the joint effect of two (or more)factors or the overall effect is known as ________.

In one-way ANOVA, the null hypothesis may be tested by ________.

Explain SSbetween, SSwithin, and SSy and their relationship.

Analysis of variance is so named because it examines the variability or variation in the sample (dependent variable)and, based on the variability, determines whether there is reason to believe that the population means differ.

Which step are you on in the procedure for conducting one-way analysis of variance if you are decomposing SSy into two components using the equation SSy = SSbetween + SSwithin?

The most commonly used measure in ANOVA indicating the relative importance of factors is omega squared, (ω2).

________ are determined before conducting the analysis, based on the researcher's theoretical framework.

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

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

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

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."

SSwithin is the variation in Y related to the variation within each category of X.

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

When using SPSS Windows one-way ANOVA can be efficiently performed using the ________ program.

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

Analysis of covariance is most useful when the covariate is not linearly related to the dependent variable and is not related to the factors.

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

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

International Marketing Research

Filters

η² assumes a value of 0 when all the category means are equal, indicating that X has no effect of X on Y.

Explain SS_between, SS_within, and SS_y and their relationship.

Which step are you on in the procedure for conducting one-way analysis of variance if you are decomposing SSy into two components using the equation SSy = SS_between+ SS_within?

The most commonly used measure in ANOVA indicating the relative importance of factors is omega squared, (ω²).

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

SS_withinis the variation in Y related to the variation within each category of X.