A group of students is investigating a randomized trial, a continuous measure of
ID: 3226547 • Letter: A
Question
A group of students is investigating a randomized trial, a continuous measure of response to 2 treatments ('A' and 'B'). In the study they blocked (6 blocks given in columns) on level of severity. Data are given below
Treatment A 2 3 4 3 6 6
Treatment B 3 4 5 6 7 6
a. Describe the analyses you would perform to analyze the above to test for mean differences between the two treatments. What test statistic would you use?
b. whats the p value for testing for differences in adjusted means for the above?
c. What can you conclude from the above analyses concerning differences in mean response between treatments?
Explanation / Answer
Null hypothesis: 1 - 2 = 0
Alternative hypothesis: 1 - 2 0
a)
x1 = 4 , x2 = 5.167 , s1 = 1.67 , s2 = 1.47 , n1 = n2 = 6
SE = sqrt[(s12/n1) + (s22/n2)]
SE = sqrt[(1.67^22/ 6) + (1.47^2/6)]
= 0.908
t = [ (x1 - x2) - d ] / SE
= [ (4 - 5.167) - 0 ] / 0.908
= -1.285
b) p value is calculated using t = -1.285 , df = 10
p value = .227757.
c) As p value is greater than 0.05 significance level so we fail to reject Ho
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