For the data in the following matrix:   No Treatment Treatment                              Male     8 3 Overall M = 5.5 Female 4 4 Overall M = 4   Overall M = 6 Overall M = 3.5   1. Which of the following statements is TRUE: There is a main effect of gender, and a main effect of treatment There is a main effect of gender, but no main effect of treatment There is a main effect of treatment, but no main effect of gender There is no main effect of gender, and no main effect of treatment

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 6P
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For the data in the following matrix:

 

No Treatment

Treatment

 

                           Male    

8

3

Overall M = 5.5

Female

4

4

Overall = 4

 

Overall = 6

Overall = 3.5

 

1. Which of the following statements is TRUE:

There is a main effect of gender, and a main effect of treatment
There is a main effect of gender, but no main effect of treatment
There is a main effect of treatment, but no main effect of gender
There is no main effect of gender, and no main effect of treatment
 
2. Is there a treatment by gender interaction? Do the effects of treatment on the scores depend on the levels of gender( do the effects of treatment on the scores are different in males and females? If so, explain the interaction, include the corresponding means in your explanation. 
 
 
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