STA 6207 – Data Analysis Assignment 2
These data represent scores for subjects randomly assigned to t=4 doses of a test medication (0,10,20,30
mg) in a Completely Randomized Design. Do the following parts by hand, as well as using SAS.
1)
2)
3)
4)
Estimate all model parameters and give the Analysis of Variance
Test whether the (population) dose means differ ( =0.05)
Test whether the means of the three active treatments (i=2,3,4) differ from the placebo (i=1).
Using orthogonal polynomials, partition the between treatment sum of squares into linear, quadratic,
and cubic components. Test whether each term is significant at =0.05 significance level.
5) Compare each pair of treatments using Tukey’s, Bonferroni’s and Scheffe’s methods.
n
a
m
e
i
j
CARTWRIGHT
COL
COOPER
CUTLER
DOTSON
ELLIS
GALATI
GORSUCH
GRAGE
GU
GUO
HSU
KAO
KRISHNASWAMI
KRSKA
LI G
LI YA
LI YI
LI Z
POPESCU
ROGERS
STRAUBER
SUN
TAN
WANG
WU
XU
YAP
ZHENG
DIAZ
MOUSSEAU
RILEY
KIM
COLEE
Extra6
y
1
1
y
1
2
y
1
3
y
1
4
y
1
5
y
2
1
y
2
2
y
2
3
y
2
4
y
2
5
y
3
1
y
3
2
16
43
22
16
31
28
58
17
44
42
63
40
24
30
42
20
71
16
17
11
40
44
30
49
43
37
25
29
17
67
19
19
31
12
46
21
36
39
37
35
41
56
43
57
15
57
35
30
9
46
18
22
36
41
36
38
38
33
28
45
38
43
45
40
44
11
54
38
19
37
31
42
41
27
28
32
29
3
60
15
35
39
47
21
18
44
27
36
27
30
11
16
39
66
36
24
51
49
38
22
-5
28
55
60
20
31
36
46
23
19
48
40
56
43
21
78
62
11
10
40
44
8
62
24
50
12
45
27
36
31
53
20
66
27
61
34
43
51
10
56
44
8
34
42
37
47
25
15
36
40
46
44
55
46
29
19
50
64
41
28
49
30
30
31
66
52
18
33
20
58
17
46
44
62
52
36
47
60
55
59
22
53
29
34
49
23
49
40
32
36
10
20
15
38
35
54
28
52
55
42
44
59
52
48
50
48
56
71
47
43
7
31
49
41
29
23
51
27
47
28
24
61
42
28
19
40
74
59
42
2
6
26
15
16
47
29
29
48
15
22
47
36
15
24
37
53
43
48
52
51
62
26
52
33
50
49
65
31
55
39
61
65
60
31
28
54
18
37
52
71
66
31
50
19
30
26
20
58
36
29
31
43
68
42
38
44
21
22
48
47
13
46
61
30
31
28
44
42
37
19
40
24
54
35
47
22
35
36
40
25
60
54
47
31
50
76
36
20
57
54
40
35
29
30
63
36
35
42
74
24
28
26
55
34
21
45
31
31
13
36
51
56
64
44
34
49
71
45
39
40
88
42
68
66
48
68
60
55
54
55
76
44
63
59
67
43
75
73
68
75
57
84
43
52
59
44
80
48
41
80
50
62
65
65
64
60
81
39
52
26
70
59
52
40
78
84
42
56
54
42
60
44
90
79
77
76
77
52
74
34
26
85
39
42
81
82
66
44
66
64
y
3
3
y
3
4
y
3
5
y
4
1
y
4
2
y
4
3
y
4
4
y
4
5
69 67 65 73 50 90 100 62
66 74 69 51 42 96 63 78
65 59 45 54 67 89 43 70
51 76 78 62 74 88 27 62
73 59 48 83 57 62 41 58
44 43 75 71 53 74 39 73
68 68 71 66 80 63 62 58
33 41 59 60 65 40 63 56
79 81 44 51 60 34 89 63
53 74 43 58 56 119 70 49
87 51 74 44 64 66 55 58
77 73 71 45 74 32 84 48
58 101 56 89 56 62 66 52
45 58 67 72 76 61 56 79
39 52 62 70 87 62 77 61
47 61 58 67 81 54 61 84
64 64 60 73 72 89 71 75
56 49 27 73 57 60 82 92
46 86 76 68 82 57 50 67
50 65 50 74 79 41 83 63
52 78 77 69 59 73 93 81
49 73 63 54 76 87 82 68
64 74 71 68 84 94 80 88
48 75 60 76 74 65 36 47
50 47 55 45 73 45 76 58
54 63 71 40 70 51 63 50
91 60 55 74 55 79 80 48
69 51 79 85 68 69 75 65
72 63 55 46 62 51 60 68
58 47 47 51 70 54 70 57
48 37 72 50 42 60 80 36
61 57 40 48 71 80 83 34
41 27 62 85 107 77 87 50
44 58 77 62 58 77 69 48
60 64 49 92 98 59 35 43