Answered: A group of 10-year-old boys were first…

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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Diabetes
A group of 10-year-old boys were first ascertained in a
camp for diabetic boys. They had their weight measured
at baseline and again when they returned to camp 1 year
later. Each time, a serum sample was obtained from which
a determination of hemoglobin A1c (HgbA1c) was made.
HgbA1c (also called glycosylated hemoglobin) is routinely
used to monitor compliance with taking insulin injections.
Usually, the poorer the compliance, the higher the HgbA1c
level will be. The hypothesis is that the level HgbA1c is
related to weight. The data in Table 11.28 were obtained.

**5 Compute a rank correlation between change in
weight and change in HgbA1c, each over 1 year. Use this measure to directly test the hypothesis that change in weight over 1 year is related to change in HgbA1c. Report a two-tailed p-value, and provide a 95% confidence interval for the underlying rank correlation

TABLE 11.28 Relationship between weight change and change in HgbA1c among diabetic boys
1st visit
2nd visit
Weight 2nd visit
- weight 1st visit (kg)
HgbA1c 2nd visit
- HgbA1c 1st visit (%)
Weight
(kg)
HgbA1c
Weight
(kg)
HgbA1c
(%)
(x)
ID no.
(x)
+ 5.0
+ 3.8
+ 5.7
1
40.5
9.9
45.5
8.4
-1.5
43.2
11.3
47.0
9.2
-2.1
3
36.3
10.4
42.0
9.6
--0.8
4
30.8
7.4
35.3
8.1
+4.5
+ 0.7
+ 3.3
+ 6.4
+ 0.9
+ 0.6
5
29.9
9.8
33.2
7.9
-1.9
6
39.7
8.5
46.1
7.7
-0.8
+ 0.4
+ 0.6
+ 1.8
+ 0.8
7
36.9
7.3
37.8
7.7
8
36.4
7.8
37.0
8.4
9
34.5
7.8
34.3
9.6
-0.2
+ 3.2
+ 5.6
10
35.2
5.7
38.4
6.5
11
43.0
7.4
48.6
7.4
+ 0.5
+ 0.3
-0.8
12
38.4
6.5
42.7
7.0
+4.3
+ 6.0
+ 7.2
+ 7.9
13
42.0
7.1
48.0
7.4
14
34.1
8.9
41.3
8.1
15
43.5
9.3
51.4
7.4
-1.9
Mean
37.63
8.34
41.91
8.03
4.28
-0.31
sd
4.35
1.56
5.73
0.90
2.40
1.18
15
15
15
15
15
15

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