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One-Way Analysis of Variance with SPSS As you work through this SPSS exercise , consider the application of the one-way ANOVA test to your research topic. Is it an appropriate test for your research?...

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One-Way Analysis of Variance with SPSS
As you work through this SPSS exercise, consider the application of the one-way ANOVA test to your research topic. Is it an appropriate test for your research?
To prepare for this Application:

  • Review Lessons 25 and 27in thecourse text Using SPSS for Windows and Macintosh: Analyzing and Understanding Data.
  • Review the video program for this week, located in the Learning Resources.
  • Read the ANOVA/MANOVA section of the StatSoft Electronic Textbook at http://www.statsoft.com/textbook/.
  • Select one of the data sets from the GSS data disk to use for this Application.
The Assignment:
  • Craft a 5- to 7-page paper in which you do the following:
    • State the statistical assumptions of this test.
    • Given a data set, select an independent variable with two or more levels and a dependent variable.
    • Develop the null hypothesis and the alternative hypothesis for main effects.
    • Using SPSS, calculate an ANOVA. Include a post hoc test.
    • Report on the p value and the confidence interval.
    • Interpret the confidence interval.
    • Decide whether to reject or retain the null hypothesis based on main effects and/or post-hoc statistical tests.
    • Generate syntax and output files in SPSS. You will need to copy and paste these into your Application document.
    • Based on your SPSS analysis, report the results using correct APA format. Include results for post hoc tests where appropriate. Your report should include the following:
      • SPSS syntax and output files
      • ANOVA table

Please include appropriate References. Save your Application as a ".doc"

Answered Same Day Dec 21, 2021

Solution

Robert answered on Dec 21 2021
107 Votes
In this article, we find how total family income differs with marital status i.e. can marital status
affect total family income. One of the data sets from the GSS data disk is selected to see this is
valid assumption or not. The data set has observations on two characteristics “marital status” of
the individual and “total family income” of the household. There are 1440 respondents
interviewed. The “marital status” has 5 categories. The details of different categories are given in
the following table.
Between-Subjects Factors
Value Label N
MARITAL STATUS 1 MARRIED 773
2 WIDOWED 98
3 DIVORCED 210
4 SEPARATED 54
5 NEVER
MARRIED
305
The descriptive statistics of total family income under different categories of marital status are
given in the following table. It can be seen that ma
ied category has highest total family income
with lowest variability and separated has lowest total family income with second highest
variability. Therefore, there are differences in different categories in terms of family income.
Descriptive Statistics
Dependent Variable: TOTAL FAMILY INCOME
MARITAL STATUS Mean Std. Deviation N
MARRIED 11.70 1.463 773
WIDOWED 10.38 1.929 98
DIVORCED 10.51 2.839 210
SEPARATED 10.13 2.855 54
NEVER MARRIED 10.14 3.115 305
Total 11.05 2.330 1440
In the one-way ANOVA the comparisons of the means between the categories are made and it
determines whether any of those means are significantly different from each other. Specifically,
the null hypothesis can be written as:
where µ = mean of a category and k =...
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