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¶ … ANOVA to the statistical assumptions of an ANOVA are as follows:
The principal assumptions of ANOVA are as follows:
There must be statistical independence of the errors, and no correlation between independent variables and error.
There must be normality of the error distribution.
Homogeneity of variances
The dependent variable is a belief that it is better for the man in a couple relationship to go to work and for the woman to stay home to care for the children and the house. The independent variables are: 1) The respondents' income; 2) the highest year of school completed; and 3) the tendency "to think of self as liberal or conservative."
Ho = A belief in the traditional gender roles in a marriage is unrelated to income, education level, or political self-identification as conservative or liberal.
Ha = A belief in the traditional gender roles in a marriage is related to income, education level, or political self-identification as conservative or liberal.
For the ANOVA shows significant main effects for education level, or political self-identification as conservative or liberal (p < .001, C.I. [confidence interval] = 95.0%). The confidence interval is a range of variables for which one can be 95% certain contains the true mean of the population. The null hypothesis is rejected, as the main effects do indicate a relationship between the traditional gender roles in a marriage for education level, or political self-identification as conservative or liberal. Since the three factors are listed in the hypotheses as a relationship based on "or" not "and," the null hypothesis can be rejected.
ONEWAY POLVIEWS EDUC RINCOME BY FEFAM
/MISSING ANALYSIS
/POSTHOC=WALLER (100) ALPHA (0.05).
Oneway
Notes
Output Created
03-AUG-2015 13:19:34
Comments
Input
Data
/Users/gigi/Downloads/gss04student_corrrected-5.sav
Active Dataset
DataSet1
Filter
one>
Weight
one>
Split File
one>
N of Rows in Working Data File
Missing Value Handling
Definition of Missing
User-defined missing values are treated as missing.
Cases Used
Statistics for each analysis are based on cases with no missing data for any variable in the analysis.
Syntax
ONEWAY...
Uses Harmonic Mean Sample Size = 81.412.
b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c. Type 1/Type 2 Error Seriousness Ratio = 100.
HIGHEST YEAR OF SCHOOL COMPLETED
Waller-Duncana, b, c
BETTER FOR MAN TO WORK, WOMAN TEND HOME
N
Subset for alpha = 0.05
1
2
STRONGLY AGREE
43
12.67
AGREE
12.68
DISAGREE
13.90
STRONGLY DISAGREE
86
14.40
Means for groups in homogeneous subsets are displayed.
a. Uses Harmonic Mean Sample Size = 84.311.
b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels…
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