Provide an example of a research question in which an investigator would use a one way analysis of variance (ANOVA) test. Your answer should create an appropriate dataset for the question with a minimum of 10 subjects. Include a difference column when appropriate. Include category columns when appropriate. Include a summary table with group means from your data set and indicate which means are being compared in your analysis. Assume all results are significant at p=.05, explain what that means. Finally, explain what if any, further analysis would be done and why.

List and describe the scales of measurement. In your discussion provide examples of each type of level of measurement; explain which are parametric and which non-parametric data are, and what statistical tests (specific examples of statistical tests) can be used to analyze data which fall under each level.

Discuss the role of variability in the determination of significant differences between groups. Include in the discussion the roles of SD, normal distribution, t-test, critical t, alpha level, and the number of subjects.