## Assignment 3: 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.

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**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.

**Please Click on the links below (highlighted in blue) for additional documents that are needed to complete the Assignment…****If you are unable to open any of the documents please let me know quickly because all documents highlighted in blue are important pieces to the assignment completion.**

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- Refer to the Week 5
*t*Test Exercises and follow the directions to perform a*t* - Download and save the savdata 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 Exercisesand follow the directions to perform an ANOVA using the 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.

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**To complete:**

- Complete the Part I, Part II, and Part III steps and Assignments as outlined in the Week 5
*t*Test Exercises - Complete the steps and Assignment as outlined in the Week 5 ANOVA Exercises
- Create one document with your responses to the
*t*test exercises and the ANOVA exercises.

__Week 5 Independent __*t* Test Exercises

__Week 5 Independent__

*t*Test ExercisesAnswer the questions below for Part I II and III. Make sure to create the table if asked and do not submit SPSS output as your answer. If you have any questions, please email your instructor. Don’t forget to save the document as instructed in the assignment submission directs. You do not have to submit a title page or reference list for this assignment. No citations are required for your submission.

__Part I__

The hypothesis being tested is: Women who are working will have a lower level of depression as compared to women who are not working.

Using Polit2SetC SPSS dataset, which contains a number of mental health variables, determine if the above hypothesis is true.

Follow these steps when using SPSS:

- Open Polit2SetC dataset.
- Click Analyze then click Compare Means, then Independent Sample T-test.
- Move the Dependent Variable (CES_D Score “
*cesd”*) in the area labelled Test Variable. - Move the Independent Variable (Currently Employed “
*worknow”*) into the area labelled Grouping Variable. The worknow variable is coded as (0= those women who do not work and 1= those women who are working). Click on Define Groups in group 1 box type 0 and in group 2 box type 1. Click Continue. - Click continue and then click OK.
- Check your answers to the Week 5 t Test Excercises SPSS Output.

Assignment: Through analysis of the data answer the questions below with your findings from this t-test.

- How many women were employed versus not employed in the sample?
- What is the total sample size?
- What are the mean and standard deviation for the CES-D scores for each group?
- Interpret the Levene’s statistic. (Hint: Is the assumption of homogeneity of variance met? Are equal variances assumed or not assumed?) Why?
- What is the value of the t-statistic, number of degrees of freedom and the p-value?
- Does the data support the hypothesis? Why or why not?

__Part II__

Hypothesis: Women who reported depression scores in wave 1 and wave 2 of the study did not have a significant difference in their level of depression.

Using Polit2SetC SPSS dataset, determine if the above hypothesis is true.

Follow these steps when using SPSS:

- Open Polit2SetC dataset.
- Click Analyze then click Compare Means, then Paired Samples T-test.
- First click on CES-D Score (
*cesd*) and move it into the box labelled Paired Variables (in the rectangle for Pair 1 of Variable 1 and then click on CESD Score, Wave 1 (*cesdwav1*) and move it into the Paired Variables box (in the rectangle next to CES-D Score, pair 1, variable 2). - Click continue and then click OK.
- Check your answers to the Week 5 t Test Excercises SPSS Output

Assignment: Through analysis of the data and answer the questions below for the findings from this t-test.

- What is the total sample size?
- What are the mean and the standard deviation of the CES-D scores at wave 1 and wave 2?
- What is the mean difference between the two time periods?
- What is the value of the t-statistic, number of degrees of freedom and the p-value(sig)?
- Does the data support the hypothesis? Why or why not?

__Part III__

Using Polit2SetC dataset, run independent groups t-tests for three outcomes. The outcome variables are CES-D Score (*cesd*), SF12: Physical Health Component Score, standardized (*sf12phys) *and SF12: Mental Health Component Score, standardized (*sf12ment*).

Follow these steps when using SPSS:

- Open Polit2SetC dataset.
- Click Analyze then click Compare Means, then Independent Sample T-test.
- Move the Dependent Variables (CES_D Score “
*cesd”,*SF12: Physical Health Component Score, standardized (*sf12phys),*and SF12: Mental Health Component Score, standardized (*sf12ment*) ) in the area labelled Test Variable. - Move the Independent Variable (Educational Attainment
*“educatn”*) into the area labelled Grouping Variable. The educatn variable is coded as (1= no high school credential and 2=diploma or GED). Click on Define Groups in group 1 box type 1 and in group 2 box type 2. Click Continue. - Click continue and then click OK.
- Check your answers to the Week 5 t Test Excercises SPSS Output

Assignment: Create a table to present your results, use the **table 6.3 in Chapter 6** in your book as a model. Write one or two paragraphs explaining and summarizing your results. Do not submit the SPSS output that is provided.