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

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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
Transcribed Image Text: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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