rmination 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. 11.95 Compute a rank correlation between change in weig
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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.
11.95 Compute a rank
![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)
Weight
(kg)
HgbA1c
(%)
(x)
HgbA1c
ID no.
(x)
()
(x)
1
40.5
9.9
45.5
8.4
+ 5.0
-1.5
+ 3.8
+ 5.7
2
43.2
11.3
47.0
9.2
-2.1
36.3
10.4
42.0
9.6
-0.8
4
30.8
7.4
35.3
8.1
+4.5
+ 0.7
5
29.9
9.8
33.2
7.9
+ 3.3
-1.9
39.7
8.5
46.1
7.7
+ 6.4
-0.8
7
36.9
7.3
37.8
7.7
+ 0.9
+ 0.4
36.4
7.8
37.0
8.4
+ 0.6
+ 0.6
34.5
7.8
34.3
9.6
-0.2
+ 1.8
10
35.2
5.7
38.4
6.5
+ 3.2
+ 0.8
11
43.0
7.4
48.6
+ 5.6
12
38.4
6.5
42.7
7.0
+4.3
+ 0.5
13
42.0
7.1
48.0
7.4
+ 6.0
+ 0.3
+ 7.2
+ 7.9
14
34.1
8.9
41.3
8.1
-0.8
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F878346f3-ca3c-439c-8faa-e963d6f4236a%2Ff128b13a-9c73-452b-b10c-eb1a295d1a2d%2Fz7iiamn_processed.png&w=3840&q=75)
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