TABLE 7.6 Pilot data on left ventricular mass (LVM) in children from the Bogalusa Heart Study 4-year LVM (g) Change (g)* ID Baseline LVM (g) 1 2 3 4 5 6 7 8 9 10 Mean sd 139 134 86 98 78 90 102 73 93 162 105.5 29.4 *4-year LVM minus baseline LVM 7.57 Implement the test in Problem 7.56 and provide a two-tailed p-value. 7.58 Provide a 95% CI for the change in LVM over 4 years based on the data in Table 7.6. 163 126 142 96 111 108 167 82 77 172 124.4 35.2 24 -8 56 -2 33 18 65 9 -16 10 18.9 26.4 7.59 Since this was a pilot study, the main question of interest is how many subjects would be needed to detect an increase of 10 g in mean LVM over 4 years using a two- sided test with α = 0.05 and power = 80%? Hint: Assume that the estimated variance of change in LVM in the pilot study is the true variance of change in LVM.
TABLE 7.6 Pilot data on left ventricular mass (LVM) in children from the Bogalusa Heart Study 4-year LVM (g) Change (g)* ID Baseline LVM (g) 1 2 3 4 5 6 7 8 9 10 Mean sd 139 134 86 98 78 90 102 73 93 162 105.5 29.4 *4-year LVM minus baseline LVM 7.57 Implement the test in Problem 7.56 and provide a two-tailed p-value. 7.58 Provide a 95% CI for the change in LVM over 4 years based on the data in Table 7.6. 163 126 142 96 111 108 167 82 77 172 124.4 35.2 24 -8 56 -2 33 18 65 9 -16 10 18.9 26.4 7.59 Since this was a pilot study, the main question of interest is how many subjects would be needed to detect an increase of 10 g in mean LVM over 4 years using a two- sided test with α = 0.05 and power = 80%? Hint: Assume that the estimated variance of change in LVM in the pilot study is the true variance of change in LVM.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please only answer 7.59
Expert Solution
Step 1
Given information:
The data is given below.
Change(g) |
24 |
-8 |
56 |
-2 |
33 |
18 |
65 |
9 |
-16 |
10 |
Mean= 18.9 |
sd=26.42 |
d=10
α=0.05
1-ß=0.80
σ=26.42
Find: Sample size (n)
Formula to find sample size.
Step by step
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