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5. Is the F signi? cant at ? = 0.05? Specify how you arrived at your answer. 6.

ID: 3201599 • Letter: 5

Question

5. Is the F signi? cant at ? = 0.05? Specify how you arrived at your answer.

6. If using SPSS, what is the exact likelihood of obtaining an F value at least as extreme as or as close to the one that was actually observed, assuming that the null hypothesis is true?

7. Which group worked the most weekly job hours post-treatment? Provide a rationale for your answer.

RESEARCH DESIGNS APPROPRIATE FOR THE ONE-WAY ANOVA Research designs that may utilize the one-way ANOVA include the randomized experi- mental, quasi-experimental, and comparative designs (Gliner, Morgan, 8 Leech, 2009). The independent variable (the "grouping" variable for the ANOVA) may be active or attri- butional. An active independent variable refers to an intervention, treatment, or program. An attributional independent variable refers to a characteristic of the participant, such as gender, diagnosis, or ethnicity. The ANOVA can compare two groups or more. In the case of a two-group design, the researcher can either select an independent samples t-test or a one-way ANOVA to answer the research question. The results will always yield the same conclusion, regardless of which test is computed; however, when examining differences between more than two groups, the one-way ANOVA is the preferred statistical test. Example 1: A researcher conducts a randomized experimental study wherein she ran domizes participants to receive a high-dosage weight loss pill, a low-dosage weight loss pill, or a placebo. She assesses the number of pounds lost from baseline to post-treatment

Explanation / Answer

5. Since p-value = 0.002 < 0.05, the F is significant at = 0.05.

6. If using SPSS, the exact likelihood of obtaining an F value at least as extreme as or as close to the one that was actually observed, assuming that the null hypothesis is true is 0.2% (p-value = 0.002).

7. Tukey HSD comparison test indicated that the students in the Associate's degree group took significantly longer to complete the program than the students in the Bachelor's degree group.

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