a clinical trial is conducted to evaluate the efficacy of a new medication to re

Question

a clinical trial is conducted 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 listed here ( sample size mean pain score Std Dev of pain score
New Medication 60 30.31 7.52
Standard Med 60 53.85 7.44
Because procedures can be more complicated in older patients, the investigators were concerned about confounding by age. For analysis, patients were classified into two age groups, less than 65 years old and 65 year of age and older. The data is as followed: ( Age <65
Sample size Mean pain score Std Dev of pain score
New Med 40 25.30 2.46
Standard Med 25 45.51 1.83
total 65 33.07 10.16
Age 65+
Sample size Mean pain score Std Dev of pain score
New Med 20 40.33 2.16
standard med 35 59.80 2.49
total 55 52.72 9.74

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 a = 0.05. (ignore age in this analysis)

using the information in the above problem are analyzed using multiple linear regression analysis and the models are shown here. In the models, the data are coded as 1= new treatment and 0= standard treatment, and age greater than 65 is coded as 1= yes and 0= no.
^y= 53.85 - 23.54 (treatment)
^y = 45.31 - 19.88 (treatment) + 14.64 (age>65)
^y= 45.51 - 20.21 (treatment) + 14.29 (age> 65)
+ 0.75 (treatment x age > 65)
patients <65:^y = 45.51 - 20.21 (treatment)
patients 65 + ^y = 59.80 - 19.47 (treatment)
does it appear that there is effect modification by age?
Justify you response using the preceding models...

Explanation / Answer

yes by studying the statistics you gave me i came to the conclusion that the more elderly people have an effect modification by age!!!!!!!!!!!!!!!!

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