Question

Use SPSS and data file: Perform a 2-way ANOVA with participant’s income (INC1) as the dependent...

Use SPSS and data file: Perform a 2-way ANOVA with participant’s income (INC1) as the dependent variable and with gender (GENDER1) and marital status (MSTAT) as independent variables. Interpret your results in the following question. The main effect due to gender indicates that: A. Women earn more than men. B. Men earn more than women. C. Men and women have incomes that are not significantly different. D. Participants earn more than their partners.

SPSS DATA:

Between-Subjects Factors          
       Value Label   N
Gender   1   Male   200
   2   Female   200
Marital Status   0   Single   163
   1   Married   237

Descriptive Statistics              
Dependent Variable: Income
Gender   Marital Status   Mean   Std. Deviation   N
Male   Single   $47,184.00   $37,615.414   65
   Married   $69,710.52   $48,816.021   135
   Total   $62,389.40   $46,600.055   200
Female   Single   $29,091.80   $20,282.150   98
   Married   $34,473.45   $29,329.082   102
   Total   $31,836.44   $25,384.451   200
Total   Single   $36,306.48   $29,736.414   163
   Married   $54,545.20   $45,020.885   237
   Total   $47,112.92   $40,477.089   400

  

Between-Subjects Factors          
       Value Label   N
Gender   1   Male   200
   2   Female   200
Marital Status   0   Single   163
   1   Married   237

Tests of Between-Subjects Effects                  
Dependent Variable: Income
Source   Type III Sum of Squares   df   Mean Square   F   Sig.
Corrected Model   117059974896.563a   3   39019991632.188   28.793   .000
Intercept   760881008332.902   1   760881008332.902   561.453   .000
GENDER1   66448819725.928   1   66448819725.928   49.032   .000
MSTAT   18197796251.890   1   18197796251.890   13.428   .000
GENDER1 * MSTAT   6867901037.906   1   6867901037.906   5.068   .025
Error   536659525212.877   396   1355200821.245      
Total   1541570392480.000   400          
Corrected Total   653719500109.440   399          
a R Squared = .179 (Adjusted R Squared = .173)                  

Homework Answers

Answer #1

If we look at the p-values column of the ANOVA table, we can say that the p-value of the variables GENDER1 and MSTAT are significant as the p-value < 0.05. Also, there is a significant interaction effect between the variables as the p-value<0.05

Now, to answer the questions, both the variables have two levels each. Let's take a look at the descriptive statistics table to answer the questions.
We conclude that There is a significant difference between the average income of Men and Women, Men earn more than women as the average income of Males is $62,389 where the females is $31836.
Also, Married people earn more than the people who are single as the average income of married are $54545 and singles are $36306.

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