Research Methods for the Behavioral Sciences (MindTap Course List)
6th Edition
ISBN: 9781337613316
Author: Frederick J Gravetter, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Textbook Question
Chapter 11, Problem 3.1E
The following matrix represents the results (the means) from a 2 × 2 factorial study. One
Al | A2 | |
B1 | 10 | 20 |
B2 | 20 |
a. What value for the missing mean would result in no main effect for factor A?
b. What value for the missing mean would result in no main effect for factor B?
c. What value for the missing mean would result in no interaction?
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The following matrix presents the results from an independent-measures, two-factor study with a sample of n = 10 participants in each treatment condition. Note that one treatment mean is missing.
B1
B2
A1
5
8
A2
3
A)
What value for the missing mean would result in no main effect for factor A?
B)
What value for the missing mean would result in no main effect for factor B?
C)
What value for the missing mean would result in no interaction?
The following matrix presents the results of a two- factor study with n = 10 scores in each of the six treatment conditions. Note that one of the treatment means is missing
B1
B2
B3
A1
4
6
14
A2
2
4
A)
What value for the missing mean would result in no main effect for factor A?
B)
What value for the missing mean would result in no interaction?
1. For the data in the following matrix: No Treatment Treatment Male M=8 M=14 Overall M=11Female M=4 M=10 Overall M=7 Overall M=6 Overall M=12
a. Which two means are compared to describe the treatment main effect?
b. Which two means are compared to describe the gender main effect?
c. Is there an interaction between gender and treatment? Explain your answer.
Chapter 11 Solutions
Research Methods for the Behavioral Sciences (MindTap Course List)
Ch. 11.1 - Define a factorial research design, including the...Ch. 11.2 - Define a main effect for one factor and an...Ch. 11.2 - Explain how the existence of an interaction can...Ch. 11.2 - Describe and explain the independent relationship...Ch. 11.3 - Explain how a factorial study can combine...Ch. 11.3 - Identify the statistical analyses that are...Ch. 11.4 - Describe three specific applications of the...Ch. 11 - In addition to the key words, you should also be...Ch. 11 - In a classic study, Shrauger (1972) examined the...Ch. 11 - Suppose a researcher conducts a two-factor study...
Ch. 11 - The following matrix represents the results (the...Ch. 11 - The following data show the pattern of results...Ch. 11 - Explain why the main effects in a factorial study...Ch. 11 - Explain what is meant by the concept that main...Ch. 11 - In Figure 11.5, we show three combinations of main...Ch. 11 - For a two-factor research study with two levels...Ch. 11 - A researcher would like to use a factorial study...Ch. 11 - A two-factor analysis of variance is used to...Ch. 11 - A researcher has demonstrated that a new...
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- For the data in the following matrix: No Treatment Treatment Male 8 3 Overall M = 5.5 Female 4 4 Overall M = 4 Overall M = 6 Overall M = 3.5 Which two means are compared to determine whether there is a main effect of treatment? 8 and 3 4 and 4 5.5 and 4 6 and 3.5 8, 3, 4 and 4 Which two means are compared to determine whether there is a main effect of gender? 8 and 3 4 and 4 5.5 and 4 6 and 3.5 8, 3, 4 and 4 Which of the following statements is TRUE: There is a main effect of gender and a main effect of treatment There is a main effect of gender but no main effect of treatment There is a main effect of treatment but no main effect of gender There is no main effect of gender and no main effect of treatment Is there treatment by gender interaction? Do the effects of treatment on the scores depend on the levels of gender? Do the effects of treatment on the scores are…arrow_forwardWhat effects appear to be present for this factorial design? B1 B2 B3 A1 20 10 0 A2 20 10 0 No main effect for A; No main effect for B; No AxB interaction No main effect for A; Main effect for B; No AxB interaction Main effect for A; Main effect for B; AxB interaction Main effect for A; Main effect for B; No AxB interactionarrow_forwardAn MBA student wants to answer the question "How does an MBA major affect the number of job offers received?" He randomly sampled four recent graduates in each of the following three MBA majors [Finance (x1), Marketing(x2) and Management(x3)] and asked each of them to report the number of job offers. He obtains the following results. Sum of square between majors (SSB) = 62.17 Mean of square within majors (MSW) = 2.28 Mean number of job offers received from each MBA major are as follows: Finance major (x1) = 2.25 Marketing major (x2) = 3.25 Management major (x3) = 7.5 Construct the Analysis of Variance (ANOVA) table, and then find the SSW 62.17 20.52 82.69 SST 20.52 62.17 82.69 MSB 31.085 50 2.28 F calculated 15.45 12.20 13.36arrow_forward
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