Research Methods for the Behavioral Sciences
5th Edition
ISBN: 9780357231913
Author: Frederick J Gravetter; Lori-Ann B. Forzano
Publisher: Cengage Limited
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Textbook Question
Chapter 11, Problem 8E
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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In Figure 11.5, we show three combinations of main effects and interactions for a 2 X 2 factorial design. Using the same 2 X 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:
The main effect for factors A and B, but no interaction.
The main effect for factor A and interaction, but no main effect for factor B.
The main effect for both factors and interaction
This item has three questions. The matrix represents the results (means) from a 2 x 2 factorial study. One mean is not given. A represents one factor and B represents the other factor.
A1 A2
B1 40 20
B2 30
What value for the missing mean would result in no main effect for factor A? Explain.
What value for the missing mean would result in no main effect for factor B? Explain.
What value for the missing mean would result in no interaction?Explain.
Suppose we are recording the lap times of 20 runners in a race and the race is of 12 laps in the race. . The lap times are measurements and the runners are the features. What would be the
shape of the data matrix?
Select one:
O a. 20 x 12 (20 rows and 12 columns).
O b. 20 x 20 ( 20 rows and 20 columns)
O C. 240 x 1 (240 rows and 1 column).
O d. 12 x 20 (12 rows and 20 columns).
Chapter 11 Solutions
Research Methods for the Behavioral Sciences
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 - Under what circumstances will the main effects in...Ch. 11 - Prob. 7ECh. 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 - Prob. 1EACh. 11 - In Figure 11.5, we show three combinations of main...
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