a. Which of the following statements is TRUE: There is a main effect of gender, a main effect of treatment, and a gender by treatment interaction There is a main effect of gender, no main effect of treatment, and an interaction There is a main effect of gender, a main effect of treatment, and no interaction There is a main effect of treatment, no main effect of gender, and an interaction

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 41EQ
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The following matrix represents a possible outcome of a two-factor experiment:

 

No Treatment

Treatment

 

                        Male    

20

15

Overall M = 17.5

                     Female

25

10

Overall = 17.5

 

Overall = 22.5

Overall = 12.5

 

a. Which of the following statements is TRUE:

There is a main effect of gender, a main effect of treatment, and a gender by treatment interaction
There is a main effect of gender, no main effect of treatment, and an interaction
There is a main effect of gender, a main effect of treatment, and no interaction
There is a main effect of treatment, no main effect of gender, and an interaction
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