Question

A pharmaceutical company has developed a drug to treat depression. To determine who best benefits from the drug, they tested it with multiple age groups. Ten participants with major symptoms of depression were recruited from each age group; all participants took the drug for 1 month. At the end of the month, depression was measured using a depression rating scale (1 = least depressed and 20 = most depressed). The group data follow. Is there a difference in depression symptoms? If so, which age group(s) seem(s) to benefit more from the drug? Children Young Adults Older Adults M1 = 18 M2 = 7.8 M3 = 6.8 ΣX2 = 4,524 n1 = 10 n2 = 10 n3 = 10 G = 326 T1 = 180 T2 = 78 T3 = 68 N = 30 SS1 = 24 SS2 = 93.6 SS3 = 95.6 k = 3 a. State your hypotheses and set criteria for rejection of the null (α=.05). b. Calculate the test statistic (show ALL work with appropriate notation - if long decimals are involved, maintain 3 decimals in your formulas). State whether or not you can reject the null. c. Organize your findings in an ANOVA table (round to 3 decimals) d. Calculate η2 . Round to 3 decimals if necessary. State whether the effect size is small, medium, or large. Ignore this one. e. If appropriate, conduct post-hoc tests using Tukey’s HSD. (q table: if two values are possible, choose the larger q value) f. Write a conclusion that summarizes what you’ve found. Be sure to mention the drug, age groups, depression symptoms, and the appropriate stats (round to 3 decimals). If you conducted post-hoc tests, summarize those results as well.

Answer 1