You have conducted a factorial design to determine if levels of age and gender (Factor I) along with levels of Supervisory Style (Factor II) produce different mean satisfaction scores. These scores have been measured on a carefully developed scale that is interval in nature. Three employees have been assessed in each of the cells depicting age/gender and supervisory style. The output appears below. Factor II: Supervisory Style Factor 1: Employee No Decision Input Collaborative Input Employee Empowerment Female under 40 4 4 4.5 5.5 6.5 7 7.5 8.5 9 Female over 40 6 7 8 7 6.5 6.5 7 6 6 Male under 40 5 6 6 7 6.5 6 8 8.5 9 Male over 40 4 5 5 5 6 6 7 8 8 Set up all necessary hypotheses. Explain how, ideally, employees would have been assigned to the various treatment (Factor II) conditions.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You have conducted a factorial design to determine if levels of age and gender (Factor I) along with levels of Supervisory Style (Factor II) produce different mean satisfaction scores. These scores have been measured on a carefully developed scale that is interval in nature. Three employees have been assessed in each of the cells depicting age/gender and supervisory style. The output appears below.

Factor II: Supervisory Style

Factor 1:

Employee

No Decision Input

Collaborative Input

Employee Empowerment

Female under 40

4.5

5.5

6.5

7.5

8.5

Female over 40

6.5

Male under 40

6.5

8.5

Male over 40

Set up all necessary hypotheses.
Explain how, ideally, employees would have been assigned to the various treatment (Factor II) conditions.

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