Please only answer 7.59 TABLE 7.6 Pilot data on left ventricular mass (LVM) inchildren from the Bogalusa Heart Study4-year LVM (g)Change (g)*ID12345678Baseline LVM (g)910Meansd139134869878901631261429611110816724-8561027393162105.529.4*4-year LVM minus baseline LVM7.57 Implement the test in Problem 7.56 and provide atwo-tailed p-value.7.58 Provide a 95% CI for the change in LVM over 4 yearsbased on the data in Table 7.6.8277172124.435.2-23318659-161018.926.47.59 Since this was a pilot study, the main question ofinterest is how many subjects would be needed to detectan increase of 10 g in mean LVM over 4 years using a two-sided test with α = 0.05 and power = 80%? Hint: Assumethat the estimated variance of change in LVM in the pilotstudy is the true variance of change in LVM. CardiovascularDisease, PediatricsLeft ventricular mass (LVM) is an important risk factor forsubsequent cardiovascular disease. A study is proposed toassess the relationship between childhood blood pressurelevels and LVM in children as determined from echocar-diograms. The goal is to stratify children into a normal bpgroup (< 80th percentile for their age, gender, and height)and an elevated bp group (≥ 90th percentile for their age,gender, and height) and compare change in LVM betweenthe 2 groups. Before this can be done, one needs to dem-onstrate that LVM actually changes in children over a 4-yearperiod.To help plan the main study, a pilot study is conductedwhere echocardiograms are obtained from 10 random chil-dren from the Bogalusa Heart Study at baseline and after 4years of follow-up. The data are given in Table 7.6.7.56 What test can be used to assess if there is a changein mean LVM over 4 years?

Given information: The data is given below. Change(g) 24 -8 56 -2 33 18 65 9…

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

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