a. What value should be assigned to the missing mean so that the resulting data would show no main effect for factor A? b. What value should be assigned to the missing mean so that the resulting data would show no main effect for factor B? c. What value should be assigned to the missing mean so that the data would show no interaction?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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13. The following matrix presents the results of a two-factor experiment with two levels of factor A, two levels
of factor B, and n = 10 subjects in each treatment. Each value in the matrix is the mean score for the subjects
in that treatment condition. Notice one of the mean values is missing. NOTE: each item is a separate question
with no bearing on the other questions in this section.
Factor B
B1
B2
Factor A
A1
М- 10
M = 40
A2
M
= 30
M = ??
a. What value should be assigned to the missing mean so that the resulting data would show no main
effect for factor A?
b. What value should be assigned to the missing mean so that the resulting data would show no main
effect for factor B?
c. What value should be assigned to the missing mean so that the data would show no interaction?
Transcribed Image Text:13. The following matrix presents the results of a two-factor experiment with two levels of factor A, two levels of factor B, and n = 10 subjects in each treatment. Each value in the matrix is the mean score for the subjects in that treatment condition. Notice one of the mean values is missing. NOTE: each item is a separate question with no bearing on the other questions in this section. Factor B B1 B2 Factor A A1 М- 10 M = 40 A2 M = 30 M = ?? a. What value should be assigned to the missing mean so that the resulting data would show no main effect for factor A? b. What value should be assigned to the missing mean so that the resulting data would show no main effect for factor B? c. What value should be assigned to the missing mean so that the data would show no interaction?
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