Arthritis is a very commonly occurring affliction. It is a major cause of lost work time and often results in serious disability. Of the many types of arthritis, the most common type is osteoarthritis. This condition is frequently due to wear and tear in the joints and is more likely to be found in people over 50. It is very painful in the weight-bearing joints, such as the knees and hips. Cartilage wears away on the bone ends, causing pain and swelling. Osteoarthritis may develop after an injury such as a bone fracture or a joint dislocation. To reduce the amount of time osteoarthritis patients are absent from work, it is important for them to have effective pain relief. An experiment was conducted to compare the effectiveness of three new analgesics: A1, A2, and A3. A clinic evaluated a large group of patients and identified 45 patients with a moderate level of pain. Fifteen of the 45 persons were then randomly assigned to one of the three analgesics. The patients were then placed on the therapies, and the percenta
Arthritis is a very commonly occurring affliction. It is a major cause of lost work time and often results in serious disability. Of the many types of arthritis, the most common type is osteoarthritis. This condition is frequently due to wear and tear in the joints and is more likely to be found in people over 50. It is very painful in the weight-bearing joints, such as the knees and hips. Cartilage wears away on the bone ends, causing pain and swelling. Osteoarthritis may develop after an injury such as a bone fracture or a joint dislocation. To reduce the amount of time osteoarthritis patients are absent from work, it is important for them to have effective pain relief. An experiment was conducted to compare the effectiveness of three new analgesics: A1, A2, and A3. A clinic evaluated a large group of patients and identified 45 patients with a moderate level of pain. Fifteen of the 45 persons were then randomly assigned to one of the three analgesics. The patients were then placed on the therapies, and the percentage reduction in pain level was assessed for each patient. These values are provided in the file “Arthritis.jmp”.
a. Use Graph Builder to generate a dot plot of the Pain Reduction data values against Analgesic Type. Are there any apparent outliers? If so, hide/exclude them from further analysis.
b. Perform an ANOVA using Fit Y by X (Y = Pain Score Reduction and X = Analgesic Type). Are there significant differences among the population variances for the three analgesics? Use a = 0.05. Generate a multiple comparison report using Tukey’s HSD comparisons
c. Analyze à Distribution to generate and interpret a normal QQ-Plot of the residuals. Do the residuals look homogenous (similar spread) across groups?
d. Does the ANOVA show differences in group means?
e. is the multiple comparison test the same as the untransformed Pain Scores (do the letter reports match)?
f. Comment on which analysis is most appropriate and why.
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