Ophthalmology Retinitis pigmentosa (RP) is a hereditary ocular disease in which patches of pigment appear on the retina, po- tentially resulting in substantial vision loss and in some cases complete blindness. An important issue is how fast the subjects decline. Visual field is an important measure of area of vision, which is measured in degree². A visual field area for a normal person is around 11,000 degree². The longitudinal data in Table 11.29 were provided by an individual patient. TABLE 11.29 Longitudinal visual field data for one RP patient Visit 12345 00 6 7 8 9 10 11 mean sd Time (yr) 0123456 7 11 13 15 6.09 4.97 Visual field area (degree²) 3059 3053 1418 1692 1978 1567 1919 1998 1648 1721 1264 1938 597 In (visual field area) 8.03 8.02 7.26 7.43 7.59 7.36 7.56 7.60 7.41 7.45 7.14 7.532 0.280 Suppose the rate of change of In (visual field) is a linear function of follow-up time. 11.103 Write down a linear regression model that summa- rizes this relationship. 11.104 Fit the regression line using the method of least squares, and assess whether there is a significant change in visual field over time for this subject. Report a two-sided p-value. 11.105 What does the intercept mean in this context? What is the estimated % decline in visual field per year?
Ophthalmology Retinitis pigmentosa (RP) is a hereditary ocular disease in which patches of pigment appear on the retina, po- tentially resulting in substantial vision loss and in some cases complete blindness. An important issue is how fast the subjects decline. Visual field is an important measure of area of vision, which is measured in degree². A visual field area for a normal person is around 11,000 degree². The longitudinal data in Table 11.29 were provided by an individual patient. TABLE 11.29 Longitudinal visual field data for one RP patient Visit 12345 00 6 7 8 9 10 11 mean sd Time (yr) 0123456 7 11 13 15 6.09 4.97 Visual field area (degree²) 3059 3053 1418 1692 1978 1567 1919 1998 1648 1721 1264 1938 597 In (visual field area) 8.03 8.02 7.26 7.43 7.59 7.36 7.56 7.60 7.41 7.45 7.14 7.532 0.280 Suppose the rate of change of In (visual field) is a linear function of follow-up time. 11.103 Write down a linear regression model that summa- rizes this relationship. 11.104 Fit the regression line using the method of least squares, and assess whether there is a significant change in visual field over time for this subject. Report a two-sided p-value. 11.105 What does the intercept mean in this context? What is the estimated % decline in visual field per year?
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please only answer 11.105
Transcribed Image Text:Ophthalmology
Retinitis pigmentosa (RP) is a hereditary ocular disease
in which patches of pigment appear on the retina, po-
tentially resulting in substantial vision loss and in some
cases complete blindness. An important issue is how fast
the subjects decline. Visual field is an important measure
of area of vision, which is measured in degree². A visual
field area for a normal person is around 11,000 degree².
The longitudinal data in Table 11.29 were provided by an
individual patient.
TABLE 11.29 Longitudinal visual field data for
one RP patient
Visit
1
HOT AWN-
4
5
6
7
8
9
10
11
mean
sd
Time
(yr)
ܘ ܝ ܟ ܘ ܟ ܗ ܗ ܢ ܝ ܘ ܗ
4
7
11
13
15
6.09
4.97
Visual field area
(degree²)
3059
3053
1418
1692
1978
1567
1919
1998
1648
1721
1264
1938
597
In
(visual field area)
8.03
8.02
7.26
7.43
7.59
7.36
7.56
7.60
7.41
7.45
7.14
7.532
0.280
Suppose the rate of change of In (visual field) is a linear
function of follow-up time.
11.103 Write down a linear regression model that summa-
rizes this relationship.
11.104 Fit the regression line using the method of least
squares, and assess whether there is a significant change
in visual field over time for this subject. Report a two-sided
p-value.
11.105 What does the intercept mean in this context?
What is the estimated % decline in visual field per year?
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