4. For the data in the following matrix: No Treatment Treatment Male M = 8 M = 14 Overall M = 11 %3D Female М — 4 M = 10 Overall M = 7 overall overall M = 6 М 3 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 treat- ment? Explain your answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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4. For the data in the following matrix:
No
Treatment
Treatment
Male
M = 8
М 3 14
Overall M =11
Female
М — 4
М %— 10
Overall M
7
overall
overall
M = 6
М 3 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 treat-
ment? Explain your answer.
Transcribed Image Text:4. For the data in the following matrix: No Treatment Treatment Male M = 8 М 3 14 Overall M =11 Female М — 4 М %— 10 Overall M 7 overall overall M = 6 М 3 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 treat- ment? Explain your answer.
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