Question

Problem Set 1: Two-way ANOVA (8 pts) Research Scenario An Industrial/Organizational psychologist conducted a study examining differences in sex (women and men) and preferred method (face or email) on likelihood of negotiating a raise in the next 6 months. Likelihood was measured using percent probability (where 0 indicates absolutely not planning to negotiate a salary and 100 indicates definitely planning to negotiate a salary in the next 6 months). Twenty-seven participants completed the study. Their results are in the table below. Conduct a two-way ANOVA to determine whether likelihood of negotiating a raise in the next 6 months is affected by sex and/or method. Remember to name and define your variables (your two independent variables and your one dependent variable) under the “Variable View,” then return to the “Data View” to enter and analyze the data. Male Female Face 85 90   100 100 90 80 95 85 100 90 99 95 100 Email 50 25 75 10 80 5 70 50 10 75 25 75 10 5

Answer 1

Data:

Salary	Sex	Method
85	Male	Face
100	Male	Face
90	Male	Face
95	Male	Face
100	Male	Face
99	Male	Face
100	Male	Face
90	Female	Face
100	Female	Face
80	Female	Face
85	Female	Face
90	Female	Face
95	Female	Face
100	Female	Face
50	Male	Email
75	Male	Email
80	Male	Email
70	Male	Email
10	Male	Email
25	Male	Email
10	Male	Email
25	Female	Email
10	Female	Email
5	Female	Email
50	Female	Email
75	Female	Email
75	Female	Email
5	Female	Email

Two-way ANOVA: Salary versus Sex, Method

Source	DF	SS	MS	F	P
Sex	1	386.3	386.3	0.79	0.382
Method	1	19769.1	19769.1	40.52	0.000
Error	25	12196.4		487.9
Total	27	32351.9

S = 22.09 R-Sq = 62.30% R-Sq(adj) = 59.28%

The estimated p-values for the factors Sex and Preference method are 0.382 and 0.000 respectively. Therefore, only Preference method factor has a significant effect on the model. Hence, we can conclude that the likelihood of negotiating a raise in the next 6 months is affected by Preference method at 0.05 level of significance.