Question

A clinical trial is run to evaluate the efficacy of a new medication to relieve pain in patients undergoing total knee replacement surgery. In the trial, patients are randomly assigned to receive either the new medication or the standard medication. After receiving the assigned medication, patients are asked to report their pain on a scale of 0-100 with higher scores indicative of more pain. Data on the primary outcome are shown below.

	Sample Size	Mean Pain Score	Standard Deviation of Pain Score
New Medication	60	30.31	7.52
Standard Medication	60	53.85	7.44

Because procedures can be more complicated in older patients, the investigators are concerned about confounding by age. For analysis, patients are classified into two age groups, less than 65 and 65 years of age and older. The data are shown below.

Age < 65 Years	Sample Size	Mean Pain Score	Standard Deviation of Pain Score
New Medication	40	25.30	2.46
Standard Medication	25	45.51	1.83
Total: Age < 65 Years	65	33.07	10.16
Age 65+ Years	Sample Size	Mean Pain Score	Standard Deviation of Pain Score
New Medication	20	40.33	2.16
Standard Medication	35	59.80	2.49
Total: Age 65+	55	52.72	9.74

1. Is there a statistically significant difference in mean pain scores between patients assigned to the new medication as compared to the standard medication? Run the appropriate test at =0.05. (Ignore age in this analysis.)

Answer 1

Answer:-

Given That:-

A clinical trial is run to evaluate the efficacy of a new medication to relieve pain in patients undergoing total knee replacement surgery. In the trial, patients are randomly assigned to receive either the new medication or the standard medication.

Let X : New Medication (n1 = 60)

Y : Standard Medication (n2 = 60)

  

(a) Is there a statistically significant difference in mean pain scores between patients assigned to the new medication as compared to the standard medication? Run the appropriate test at .

  

= 1.3657

Therefore t - statistic =

  

= 17.24

t - statistic = 17.24

At level with (60 + 60 - 2) = 118 d.f

t-critical value = 1.98

Therefore t - statistic > t - critical value (17.24 > 1.98)

Hence we reject H0.

Conclusion :-

There was an enough evidence that, there was a Statistically Significant difference in Mean pain Scores between patients assaigned to the new medication as compared to the Standard medication.

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