# One-Way ANOVA

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Description

For this assessment, you will complete an SPSS data analysis report using a one-way ANOVA for assigned variables.

We are often confronted with a need to compare the means of more than two groups. We may also need to compare more than two scores among a sample of participants. ANOVA, **AN**alysis **O**f **VA**ariance, is a technique designed to address such questions.

By successfully completing this assessment, you will demonstrate your proficiency in the following course competencies and assessment criteria:

- Competency 1: Analyze the computation, application, strengths and limitations of various statistical tests.
- Develop a conclusion, including strengths and limitations of a one-way ANOVA.

- Competency 2: Analyze the decision making process of data analysis.
- Analyze the assumptions of a one-way ANOVA.

- Competency 3: Apply knowledge of hypothesis testing.
- Articulate a research question, null hypothesis, alternative hypothesis, and alpha level.

- Competency 4: Interpret the results of statistical analyses.
- Interpret the one-way ANOVA output.

- Competency 5: Apply a statistical program’s procedure to a data set.
- Apply the appropriate SPSS procedures to check assumptions and calculate the one-way ANOVA to generate relevant output.

- Competency 6: Apply the results of statistical analyses to a field of interest or career.
- Develop a context for the data set, including a definition of required variables and scales of measurement.

- Competency 7: Communicate in a manner that is scholarly, professional, and consistent with the expectations for members in the identified field of study.
- Communicate in a manner that is scholarly, professional, and consistent with expectations for members of the identified field of study.

Read the Assessment 4 Context document for important information on the following topics:

- The logic of a one-way ANOVA.
- Avoiding inflated Type I error.
- Hypothesis testing in one-way ANOVA.
- Assumptions of one-way ANOVA.
- As you prepare to complete this assessment, you may want to think about other related issues to deepen your understanding or broaden your viewpoint. You are encouraged to consider the questions below and discuss them with a fellow learner, a work associate, an interested friend, or a member of your professional community. Note that these questions are for your own development and exploration and do not need to be completed or submitted as part of your assessment.

#### Application of *F*-Tests

- Is there a research question from your professional life or career specialization that can be addressed by a one-way ANOVA?
- Why would a one-way ANOVA be the appropriate analysis for this research question?
- What is the expected outcome?

#### Required Resources

The following resources are required to complete the assessment.

- Assessment 4 Context.
- DAA Template.
- SPSS Data Analysis Report Guidelines.
- IBM SPSS Step-by-Step Guide: One-Way ANOVA.
- Copy/Export Output Instructions.

In addition, you will need the **grades.sav**file that you created from the **grades2.dat**file in Assessment 1.

**SPSS Software**

Capella University requires learners to meet certain minimum computer requirements. Please note that some software required for a course may exceed these minimum requirements. The following statistical analysis software is required to complete your assessments in this course:

- IBM SPSS Statistics (recent version for PC or Mac).

This course requires the following as a minimum:

- IBM SPSS Statistics
**Standard**GradPack. (The**Base**GradPack is not acceptable for use in this course.)

**Internet Resources**

- Lane, D. M. (2013).
*HyperStat online: An introductory statistics textbook and online tutorial for help in statistics courses*. Retrieved from http://davidmlane.com/hyperstat - StatSoft, Inc. (2013).
*Electronic statistics textbook*. Tulsa, OK: StatSoft. Retrieved from http://www.statsoft.com/textbook *Sophia*. (2014). Retrieved from http://www.sophia.org/- Browse Sophia for tutorials that explore statistical topics.

- StatisticsLectures.com. (2012).
*Free statistic lectures*. Retrieved from http://statisticslectures.com/ - Khan Academy. (2013). Retrieved from https://www.khanacademy.org
- This Web site offers resources covering a range of subjects, including statistics

- Hall, R. (1998). Between subjects one-way ANOVA example.
*Psychology World*. Retrieved from http://web.mst.edu/~psyworld/anovaexample.htm - Elliot, A. C. (2012). ANOVA using Microsoft Excel: One-way analysis of variance.
*Excel Tutorials for Statistical Data Analysis*. Retrieved from http://www.stattutorials.com/EXCEL/EXCEL_ANOVA.htm… - Onwuegbuzie, T. (Producer). (2009).
*Mixed methods research*[Video] | Transcript. Available from http://videolectures.net/ssmt09_onwuegbuzie_mmr

#### Preparation

Read the Assessment 4 Context document (linked in the Resources, under the Required Resources heading) to learn about the concepts used in this assessment.

You will use the following resources for this assessment. They are linked in the Required Resources.

- Complete this assessment using the
**DAA Template**. - Read the
**SPSS Data Analysis Report Guidelines**for a more complete understanding of the DAA Template and how to format and organize your assessment. - Refer to
**IBM SPSS Step-By-Step Instructions: One-Way ANOVA**for additional information on using SPSS for this assessment. - If necessary, review the
**Copy/Export Output Instructions**to refresh your memory on how to perform these tasks. As with your previous assessments, your submission should be narrative with supporting statistical output (table and graphs) integrated into the narrative in the appropriate place (not all at the end of the document).

You will analyze the following variables in the **grades.sav**** **data set:

- section.
- quiz3.

#### Directions

##### Step 1: Write Section 1 of the DAA

- Provide a context of the grades.sav data set.
- Include a definition of the specified variables (predictor, outcome) and corresponding scales of measurement.
- Specify the sample size of the data set.

##### Step 2: Write Section 2 of the DAA

- Analyze the assumptions of the one-way ANOVA.
- Paste the SPSS histogram output for
**quiz3**and discuss your visual interpretations. - Paste SPSS descriptives output showing skewness and kurtosis values for
**quiz3**and interpret them. - Paste SPSS output for the Shapiro-Wilk test of
**quiz3**and interpret it. - Report the results of the Levene’s test and interpret it.
- Summarize whether or not the assumptions of the one-way ANOVA are met.

##### Step 3: Write Section 3 of the DAA

- Specify a research question related to the one-way ANOVA.
- Articulate the null hypothesis and alternative hypothesis.
- Specify the alpha level.

##### Step 4: Write Section 4 of the DAA

- Begin by pasting SPSS output of the means plot and providing an interpretation.
- Also report the means and standard deviations of
**quiz3**for each level of section. - Next, paste the SPSS ANOVA output and report the results of the
*F*test, including:- Degrees of freedom.
*F*value.*p*value.- Calculated effect size.
- Interpretation of the effect size.

- Finally, if the omnibus
*F*is significant, provide the SPSS post-hoc (Tukey HSD) output.- Interpret the post-hoc tests.

##### Step 5: Write Section 5 of the DAA

- Discuss the conclusions of the one-way ANOVA as it relates to the research question.
- Conclude with an analysis of the strengths and limitations of one-way ANOVA.

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