0told16. For the data in the following matrix:MaleFemaleNoTreatmentM = 8M = 4overall conM = 6TreatmentM = 14M = 10overallM = 12Overall M=11Overall M=7a. Which two means are compared to describe thetreatment main effect?b. Which two means are compared to describe thegender main effect?c. Is there an interaction between gender and treat-ment? Explain your answer.

Introduction: It is required to describe the main and interaction effects

Answered: 16. For the data in the following…

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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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 Which two means are compared to determine whether there is a main effect of treatment? 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.
For the data in the following matrix No treatment Treatment Female 8 14 11 Male 4 10 7 6 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 treatment? Explain your answer.
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