Factor B B1 B2 A1 M = 20 M = 30 Factor A A2 M = 40 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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.4: The Lu Factorization
Problem 19EQ
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18)
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
%3D
mean is missing.
Factor B
B1
B2
A1
М3 20
М- 30
%3D
Factor A
A2
М - 40
%3D
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?
Transcribed Image Text:18) 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 %3D mean is missing. Factor B B1 B2 A1 М3 20 М- 30 %3D Factor A A2 М - 40 %3D 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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