A two-factor ANOVA investigated the effects of gender (males vs. females) and participation in a varsity sport: whether a student participates in a varsity sport or not (yes vs. no) on the numbers of hours spent studying per week. The following matrix represents the outcomes of this study.                                                            Participation in a varsity sport   Yes No            Males 9 12          Females 13 16   For this study: Group of answer choices   There is a main effect of gender and a main effect of "participation in a varsity sport", but no interaction There are main effects of both gender and "participation in a varsity sport"; and an interaction There is a main effect of gender, no main effect of "participation in a varsity sport", and an interaction There is a main effect of "participation in a varsity sport", 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
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A two-factor ANOVA investigated the effects of gender (males vs. females) and participation in a varsity sport: whether a student participates in a varsity sport or not (yes vs. no) on the numbers of hours spent studying per week. The following matrix represents the outcomes of this study.

                                                           Participation in a varsity sport

 

Yes

No

           Males

9

12

         Females

13

16

 

For this study:

Group of answer choices
 
There is a main effect of gender and a main effect of "participation in a varsity sport", but no interaction
There are main effects of both gender and "participation in a varsity sport"; and an interaction
There is a main effect of gender, no main effect of "participation in a varsity sport", and an interaction
There is a main effect of "participation in a varsity sport", no main effect of gender, and an interaction
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