# Assignment: Testing For One-Way ANOVA

6210 Week 7 Assignment: How To Complete The Week 7 Assignment

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Review the Week 7 Course Materials

Use only the dataset for this assignment.

A one–way ANOVA is only a series of t-tests that SPSS runs simultaneously to provide both speed and statistical power to a statistical analysis. For example, if you want to know if there is a difference in a dependent variable based on an independent variable, do the following:

Open the AB data set, select Analyze, select one-way ANOVA, drag an interval or ratio variable into the Dependent List box, drag a nominal variable with at least 3 levels into the Factor box, select Post Hoc, select an appropriate Post Hoc test from the Equal Variances Assumed box, click Continue, click OK.

Review the Sig. value in the Between Groups row in the SPSS Output under ANOVA and decide to reject or fail to reject the null hypothesis.

If you reject the null and determine that the ANOVA is statistically significant, review the Multiple Comparisons Output below the ANOVA Output.** This Output compares each level of the IV to every other level of the IV and tells us if the comparison is statistically significant.

If your IV has 4 levels like School Geographic Region (Northeast, Midwest, South, West) there are 6 comparisons that we are interested in reviewing, Northeast/Midwest, Northeast/South, Northeast/West, Midwest/South, Midwest/ West, and South/West. Observe that South/West is the same as West/South, etc.

**Note: If you fail to reject the null and find that the ANOVA is not statistically significant, then there is no need to review Multiple Comparisons… …so don’t.

For this assignment, follow this outline and use each point as a header:

1. Identify the dependent variable (DV) and its Level of Measurement. The DV must be interval or ratio.

2. Identify the independent variable (IV) and its Level of Measurement. The IV must be nominal and it must have 3 or more levels). School Geographic Region is a good choice for the IV.

3. Write a research question (RQ)** that can be addressed by a one-way ANOVA. Use this format:

Is there a difference in the DV based on the IV?

**Note: a question is an interrogative sentence that ends with a question mark. Keep your RQ simple and concise.

4. Write a null hypothesis for your question. Use this format:

There is no difference in (insert DV) based on (insert IV).

5. State the research design that aligns with the RQ.

6. Run the one-way ANOVA in SPSS and provide the Output and the following analysis:

-Decide if the ANOVA is statistically significant and decide to reject or fail to reject the null hypothesis based on the significance finding.

-If the ANOVA is significant, discuss the post hoc test comparisons in terms of statistical significance. If the ANOVA is not significant the post hoc comparisons are meaningless; do not discuss them… …just don’t.

-If the ANOVA is significant, calculate the effect size.** For a one-way ANOVA effect size is measured by = eta-squared. Calculate eta-squared this way:

Go to the ANOVA Output.

Go to the Between Groups row and select the value in the Sum of Squares column.

Go to the Total row and select the value in the Sum of Squares column.

Divide the Between Groups Sum of Squares by the Total Sum of Squares. The result of this division is eta-squared and it must have a value between 0 and 1.

-Explain the meaning of effect size.

-Decide if the effect is small, medium, or large.

**If the ANOVA is not significant, the effect size is meaningless… …so don’t calculate it… …just don’t.

7. Discuss social change.

ignment instructions carefully.

You had the chance earlier in the week to perform an article critique on ANOVA testing and obtain peer feedback. Now it is time to put all of that good practice to use and answer a social research question with the one-way ANOVA. As you head into the assignment, be sure and pay close attention to the assumptions of the test. Specifically, make sure the dependent and independent variables (factor) are amenable to use in the ANOVA (i.e., be sure to note levels of measurement).

For this Assignment, you will examine the one-way ANOVA based on a research question.

To prepare for this Assignment:

• Review this week’s Learning Resources and media program related to one-way ANOVA testing.
• Using the SPSS software, open the Afrobarometer dataset or the High School Longitudinal Study dataset (whichever you choose) found in the Learning Resources for this week.
• Based on the dataset you chose, construct a research question that can be answered with a one-way ANOVA.
• Once you perform your one-way ANOVA analysis, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document.

For this Assignment:

Write a 2- to 3-paragraph analysis of your one-way ANOVA results for your research question. If you are using the Afrobarometer Dataset, report the mean of Q1 (Age). If you are using the HS Long Survey Dataset, report the mean of X1SES. Do not forget to evaluate if the assumptions of the test are met. Include any post-hoc tests with an analysis of the strength of any relationship found (effect size). Also, in your analysis, display the data for the output. Based on your results, provide an explanation of what the implications of social change might be.

Use proper APA format, citations, and referencing for your analysis, research question, and display of o