# Repeated Measures ANOVA

Repeated Measures ANOVA Assignment

Identify a research question from your professional life or research interests that could be addressed by a one-way repeated measures ANOVA. Describe the within-subjects factor and levels, the outcome variable and its associated measurement scale, and the expected outcome. Indicate why repeated measures ANOVA would be an appropriate analysis for this research question.

### Repeated Measures ANOVA Assignment

According to the authors stated that for psychometricians the term bias “is a factor inherent in a test that systematically prevents accurate, impartial measurement” (Cohen & Swerdlik, 2018, p. 192). Furthermore, the authors stated that the term bias suggests systematic variation (Cohen & Swerdlik, 2018). According to the text, a test is deemed bias if a portion of its variances derives from factors that are unrelated to the performance on the criterion being measured; subsequently, a group of test takers will have performed differently than another (Cohen & Swerdlik, 2018). Thus, the others stated that some tests are found to be bias based on the design research study instead of the design of the test (Cohen & Swerdlik, 2018).

### Save your time - order a paper!

Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlines

Order Paper NowMoreover, the textbook mentioned that the best way to prevent a test from being bias is during test development one should be aware of how to prevent a test from being bias (Cohen & Swerdlik, 2018). The authors mentioned that “a procedure called estimated true score transformations represent one of many available post hoc remedies” for test bias (Cohen & Swerdlik, 2018, p. 193).

According to the textbook, a test fairness is rooted in issues involving values (Cohen & Swerdlik, 2018). The book defines fairness “in a psychometric context as the extent to which a test is used in an impartial, just, and equitable way (Cohen & Swerdlik, 2018, p. 196). The text stated that for some reasonable person judgment, a test might blatantly view as being unfair (Cohen & Swerdlik, 2018, p. 196). A test may be deemed unfair due to the fact that they discriminate against a certain group of people (Cohen & Swerdlik, 2018). Nonetheless, the authors stated that “The test user strives for fairness in the way the test is used. Society strives for fairness in test use by means of legislation, judicial decisions, and administrative regulations” (Cohen & Swerdlik, 2018, p. 196).

According to the text, CTT is widely used and accepted as the model in the psychometric literature of today (Cohen & Swerdlik, 2018). Although CTT is said to be an easier model to understand and that it has its advantages and disadvantages, in my opinion I believe the IRT is preferential for responding to questions about a test’s fairness. The reason why is because as per the authors the assumptions may be characterized as being weak for the CTT; whereas an IRT method may be viewed as a strong, robust, rigorous and hard (Cohen & Swerdlik, 2018). Some believe that the IRT is a worthy successor to CTT (Cohen & Swerdlik, 2018).

Moreover, the IRT refers to a family of methods and theories which has a variety of models that are designed to handle certain assumptions concerning data characteristics (Cohen & Swerdlik, 2018). Furthermore, The IRT differs a lot from the CTT, and an IRT makes no assumption concerning the frequency of a test scores distribution (Cohen & Swerdlik, 2018). The text also stated that ” Some IRT models have very specific and stringent assumptions about the underlying distribution. In one group of IRT models developed by the Danish mathematician Georg Rasch, each item on the test is assumed to have an equivalent relationship with the construct being measured by the test” (Cohen & Swerdlik, 2018, P. 167). Lastly, the text states that the IRT model has some psychometric advantages especially for large-scale test publishers, academic and commercial test developers (Cohen & Swerdlik, 2018). According to the authors, this model is found to have an increase in as it pertains to the application of standardized test questionnaires used and professional licensing examinations (Cohen & Swerdlik, 2018).

### Repeated Measures ANOVA Assignment

**Step 1**. Write Section 1 of the DAA. Provide a context of the **wk5data.sav**data set. Specifically, imagine that you are a clinical researcher studying a new treatment for anxiety. To determine treatment efficacy, you monitor the anxiety levels of clients over five weeks. Anxiety symptoms are quantified with a symptom checklist, and the data are entered into SPSS. Week 1 represents the baseline number of anxiety symptoms. Week 5 represents the number of anxiety symptoms at the conclusion of treatment. In Section 1 of the DAA, articulate your within-subjects factor and the outcome variable. Specify the sample size of the data set. Based on your visual inspection of the raw data in wk5data.sav, speculate on the overall trend in recorded symptoms from Week 1 to Week 5.

**Step 2.** Write Section 2 of the DAA. Assume that the sample is too small to assess multivariate normality. Instead, focus your analysis in Section 2 on the sphericity assumption. Provide the SPSS output for the Mauchly test. Report the results of the Mauchly *W*and interpret it in terms of the sphericity assumption. If sphericity is violated, analyze the three epsilon estimates (Greenhouse-Geisser, Huynh-Feldt, and lower bound) and justify your decision for selecting one of the three epsilon corrections reported below in Section 4 Interpretation.

**Step 3.** Write Section 3 of the DAA. Specify a research question related to the repeated measures ANOVA. Articulate the null hypothesis and alternative hypothesis. Specify the alpha level.

**Step 4**. Write Section 4 of the DAA.

- To provide context, paste SPSS output of Weeks 1–5 descriptive statistics. Report these descriptive statistics in your narrative.
- Next, paste SPSS output of the estimated marginal means plot of Weeks 1–5. Provide an interpretation of this figure.
- Then paste the SPSS output for the test of within-subjects effects.
- Report
*F*, the degrees of freedom based on your epsilon correction selected in Section 2 (if epsilon correction is not necessary, report Sphericity Assumed*df*), the*F*value, the*p*value, the effect size, and interpretation of the effect size. - Interpret the results against the null hypothesis. Next, paste the SPSS output for the tests of within-subjects contrasts if the overall
*F*null hypothesis is rejected. - Make sure in SPSS that the contrast is designated as “simple” with Week 1 set as the baseline comparison. Report the
*F*tests for the simple contrasts and interpret them.

**Step 5.** Write Section 5 of the DAA. Discuss the conclusions of the repeated measures ANOVA as it relates to the research question. Conclude with an analysis of the strengths and limitations of repeated measures ANOVA.