1. Do the data meet criteria for homogeneity of variance? Provide a rationale fo
ID: 3201598 • Letter: 1
Question
1. Do the data meet criteria for homogeneity of variance? Provide a rationale for your answer.
2. If calculating by hand, draw the frequency distribution of the dependent variable, hours worked at a job. What is the shape of the distribution? If using SPSS, what is the result of the Shapiro-Wilk test of normality for the dependent variable?
3. What are the means for three groups ’ hours worked on a job?
4. What are the F value and the group and error df for this set of data?
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-treatmentExplanation / Answer
Answer to question# 1)
In order to check the criteria for homogeneity of variance we check the size of the samples
the samples must have almost equal sizes, in order for this assumption to hold true
Since we find that there are 9 participants in each of the three groups this implies that the sample sizes are equal and thus the criteria of homogeneity which implies equal variances is fulfilled by the given data.
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