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)
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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