T Tests And ANOVA
This week, you explore key statistical concepts related to data and problem solving through the completion of the following exercises using SPSS and the information found in your Statistics and Data Analysis for Nursing Research textbook. The focus of this assignment is to become familiar with the SPSS data analysis software, and to develop an understanding of how to calculate and summarize inferential statistics using t tests and ANOVA.
To prepare:
- Review the Statistics and Data Analysis for Nursing Research chapters that you read as a part of the Week 5 Learning Resources. As you do so, pay close attention to the examples presented—they provide information that will be useful for you to recall when completing the software exercises. You may also wish to review the Research Methods for Evidence-Based Practice video resources.
- Refer to the Week 5 t Test Exercises and follow the directions to perform a t test.
- Download and save the Polit2SetC.sav data set. You will open the data file in SPSS.
- Compare your data output against the tables presented in the Week 5 t Test Exercises SPSS Output.
- Formulate an initial interpretation of the meaning or implication of your calculations.
- Refer to the Week 5 ANOVA Exercises and follow the directions to perform an ANOVA using the Polit2SetA.sav data set.
- Compare your data output against the tables presented in the Week 5 ANOVA Exercises SPSS Output.
- Formulate an initial interpretation of the meaning or implication of your calculations.
To complete:
- Complete the Part I, Part II, and Part III steps and Assignments as outlined in the Week 5 t Test Exercises page.
- Complete the steps and Assignment as outlined in the Week 5 ANOVA Exercises page.
- Create one document with your responses to the t test exercises and the ANOVA exercisesWeek 5 ANOVA Exercises
Research Question: Is there a difference in the overall satisfaction of women based on the number of housing problems (no problems, 1 problem, 2 or more problems)?
Using Polit2SetA data set, run an ANOVA using Overall Satisfaction, Material Well-Being (satovrl) as the dependent variable and Housing Problems (hprobgrp) (this is the last variable in the data set) as the independent variable.
Follow these steps when using SPSS:
1. Open Polit2SetA data set.
2. Click on Analyze, then click on Compare Means, then One-way ANOVA.
3. Move the Dependent Variable (Overall Satisfaction “satovrl”) in the box labeled “Dependent List” by clicking the arrow button. The dependent variable is a continuous variable.
4. Move the Independent Variable (Housing Problems “hprobgrp”) into the box labeled “Factor.” The hprobgrp is a categorical variable coded as (1= no hoursing problem, 2=one housing problem, 3=two or more housing problems).
5. Click on the Options button (right side of box) and click on Descriptives and Homogeneity of Variance and then click on Continue.
6. Click on Post Hoc (right side of box). Click on Tukey and then click on Continue.
7. Click on OK.
Assignment: Through analysis of the data and use of the questions below, write one to two paragraphs summarizing your findings from this ANOVA.
1. What is the total sample size?
2. How many women were in each of the different hprobgrp groups?
3. What are the mean (SD) overall satisfaction scores for each group?
4. Interpret the Levene’s statistic. (Hint: Is the assumption of homogeneity of variance met? Are equal variances assumed or not assumed?)
5. What is the value of the F statistic, number of degrees of freedom, and the p value?
6. Is there a significant difference in the overall satisfaction level of women in each of the hprobgrp groups?
7. Interpret the post hoc test. When interpreting the post hoc test indicate the mean and standard deviation for each group and indicate which group was signifantly higher or lower from the other. If there is no difference between two groups, indicate that as well.
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