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 7E
In Figure 11.5, we show three combinations of main effects and interactions for a 2 × 2 factorial design. Using the same 2 × 2 structure, with factor A defining the rows and factor B defining the columns, create a set of means that produce each of the following patterns:
a. A main effect for factors A and B, but no interaction.
b. A main effect for factor A and an interaction, but no main effect for factor B.
c. A main effect for both factors and an interaction.
FIGURE 11.5
Three Possible Combinations of Main Effects and Interactions in a Two-Factor Experiment.
(a) Data showing a main effect for factor A but no main effect for factor B and no interaction.
(b) Data showing main effects for both factor A and factor B but no interaction.
(c) Data showing no main effect for either factor, but an interaction.
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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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