the following data is from itraditional design comparing two treatments to lower blood pressures

Name: the following data is from itraditional design comparing two treatments to lower blood pressures the data s re arranged iu groups with every 60 patient increment for a total of 4 groups tim 35406
Uploaded: 2023-06-14T13:32:03-08:00
Duration: 2 min 29 s
Channel: Numerade
Description: the following data is from itraditional design comparing two treatments to lower blood pressures the data s re arranged iu groups with every 60 patient increment for a total of 4 groups tim 35406

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Question

The following data is from a traditional design comparing two treatments to lower blood pressures. The data is rearranged into groups with every 60 patient increment (for a total of 4 groups): time 1: 52 Y 52 52 52 Y time 2: 90 113 114 120 115 122 treatment 0: 30 116 112 60 115 120 121 113 120 122 124 treatment 0: 30 122 110 60 120 112 90 where n is the total sample size available at each time point, Y is the sample mean of the blood pressures, and S2 is the sample variance. Do the following: (a) Use the (two-sided) GWO sample t-test at the last time point to test the significance level 0.05 whether or not the mean blood pressures of the patients receiving treatment and treatment 0 are the same. (b) Conduct a (two-sided) group sequential test using Pocock boundaries at significance level a = 0.05. What is your conclusion? (c) Conduct a (two-sided) group sequential test using O'Brien-Fleming boundaries at significance level & 0.05. What is your conclusion? (d) Verify your calculation results by using the goDesign package in R.

          The following data is from a traditional design comparing two treatments to lower blood pressures. The data is rearranged into groups with every 60 patient increment (for a total of 4 groups):

time 1: 52 Y 52 52 52 Y
time 2: 90 113 114 120 115 122
treatment 0: 30 116 112 60 115 120 121 113 120 122 124
treatment 0: 30 122 110 60 120 112 90

where n is the total sample size available at each time point, Y is the sample mean of the blood pressures, and S2 is the sample variance. 

Do the following:
(a) Use the (two-sided) GWO sample t-test at the last time point to test the significance level 0.05 whether or not the mean blood pressures of the patients receiving treatment and treatment 0 are the same.
(b) Conduct a (two-sided) group sequential test using Pocock boundaries at significance level a = 0.05. What is your conclusion?
(c) Conduct a (two-sided) group sequential test using O'Brien-Fleming boundaries at significance level & 0.05. What is your conclusion?
(d) Verify your calculation results by using the goDesign package in R.

Added by Benjamin L.

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