Bring to mind a real-world situation or problem that could be addressed using a one-way analysis of variance (ANOVA). The real-world situation or problem you selected to address, the independent and dependent variables you would study and the number of levels of the independent variable, the statistical null and alternative hypotheses, a description of what information the effect size would tell you that the probability value would not tell you, explain what additional information confidence intervals around means (or around mean differences) would give your reader; explain when would you need to report a post hoc test and why; and using realistic numbers for values of degrees of freedom, sample size, F-ratio, confidence interval (s) (if appropriate), and post hoc results (if appropriate), report hypothetical results


For this situation or problem:


Clearly identify the independent and dependent variables you would study, including the number of levels of the independent variable.

Generate the statistical null and alternative hypotheses.

Describe what information the effect size would tell you that the probability value would not tell you.

Explain what additional information confidence intervals around means (or around mean differences) would give your reader.

Explain when would you need to report a post hoc test and why.

Using realistic numbers for values of degrees of freedom, sample size, F-ratio, and confidence interval(s) (if appropriate), and post hoc results (if appropriate), report hypothetical results