2. Data on response of both eyes to two stimuli were collected from 98 s which were diagnosed with multiple sclerosis. These data are stored in t The following columns are given: Y₁ = age, Y₂ = total response of both ey 1, Y3 = difference between eyes in response to stimulus 1, Y₁ = total res eyes to stimulus 2, Y, = difference between eyes in response to stimulus (0 = normal, 1 = MS). Let Y= (Y₁, Y2, Y3, Y₁, Y5)'. (a) using scatter matrix to explore the relations between Y₁, Y2, ..., Y5. you see. Dind th

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2. Data on response of both eyes to two stimuli were collected from 98 subjects, 29 of
which were diagnosed with multiple sclerosis. These data are stored in the file ms.txt.
The following columns are given: Y₁ = age, Y₂ = total response of both eyes to stimulus
1, Y3 difference between eyes in response to stimulus 1, Y₁ = total response of both
eyes to stimulus 2, Y5 = difference between eyes in response to stimulus 2, and group
(0 normal, 1 = MS). Let Y = (Y₁, Y2, Y3, Y4, Y5)'.
(a) using scatter matrix to explore the relations between Y₁, Y2, ..., Y5. Explain what
you see.
(b) Find the sample mean vector, sample covariance matrix and correlation matrix
of Y. Doest these results follow the one you got from (a)?
(c) Find the GSV of Y.
(d) Is the multivariate normal distribution a viable population model for the random
vector Y? Any outliers? Explain with reference to Q-Q plot.
Transcribed Image Text:2. Data on response of both eyes to two stimuli were collected from 98 subjects, 29 of which were diagnosed with multiple sclerosis. These data are stored in the file ms.txt. The following columns are given: Y₁ = age, Y₂ = total response of both eyes to stimulus 1, Y3 difference between eyes in response to stimulus 1, Y₁ = total response of both eyes to stimulus 2, Y5 = difference between eyes in response to stimulus 2, and group (0 normal, 1 = MS). Let Y = (Y₁, Y2, Y3, Y4, Y5)'. (a) using scatter matrix to explore the relations between Y₁, Y2, ..., Y5. Explain what you see. (b) Find the sample mean vector, sample covariance matrix and correlation matrix of Y. Doest these results follow the one you got from (a)? (c) Find the GSV of Y. (d) Is the multivariate normal distribution a viable population model for the random vector Y? Any outliers? Explain with reference to Q-Q plot.
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Transcribed Image Text:1 2 3 5 8 16 18 11 9 4 8 3 7 9 5 6 3 13 9 6 11 8 10 10 7 12 7 9 8 8 8 11 9 3 9 14 12 11 4 10 13 13 13 6 11 13 9 9 9 12 13 10 15 7 13 14 11 12 8 14 15 11 11 10 15 13 10 15 9 16 10 5 8 6 17 10 3 7 7 18 17 13 13 7 19 10 6 10 7 20 10 10 15 8 21 14 7 11 5 22 16 11 12 11 23 10 7 14 6 24 10 10 9 6 25 10 7 10 10 26 7 6 5 9 27 15 12 10 6 28 17 15 15 8 78 9 8 5 6 29 16 13 16 30 13 10 17 31 13 10 32 19 12 9 1086 ∞ ∞ 17 10 16 10 17 11 33 19 15 34 13 10 7 35 15 11 12 8 36 16 9 11 11 37 14 13 14 9 8
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