STA 6207 – Data Analysis Assignment 10
Split plot experiment among four women who attended law school together (golfers are factor B, fixed, as
they are the only women who play together regularly). Their town has 3 golf courses (factor A, which we
treat as fixed, since these are only courses they play on). Further, they decide to do an experiment to
compare their golf scores. They play each course on 3 weekends (factor C, random). There is a restriction
on the randomization since they play together (on the same course) on each of the days they play.
a) Write out the full statistical model in Kuehl’s form.
b) Give the Analysis of Variance and parameter estimates
c) Test for golfer effects, course effects, and interaction (each at
=0.05).).
d) Give critical values for golfer effects (Bonferroni, Tukey)
e) Give critical values for course effects (Bonferroni, Tukey)
Data are in form: y111-y141,y211-y241,y311-y341 then same orders for weekends 2 and 3.
CARTWRIGHT 90 89 91 98 88 91 97 110 88 89 96 101 74 73 76 80 79 82 93 100 84 81 92 98 79 71 77
84 78 79 88 96 82 82 92 93
COL 77 75 83 85 81 82 96 101 82 83 91 100 78 78 84 92 88 89 99 106 82 85 90 97 83 84 90 95
89 96 104 109 91 89 100 106
COOPER 90 88 89 93 92 94 102 110 89 89 95 100 73 75 75 79 75 80 90 95 80 80 90 94 82 81 90
88 93 93 102 110 89 91 96 99
CUTLER 76 76 83 83 83 86 97 103 80 78 87 97 76 74 83 83 81 84 90 102 82 81 91 100 85 85 90 95
83 95 99 108 93 93 99 100
DOTSON 83 79 86 89 86 88 96 104 82 84 92 97 84 80 84 91 86 90 96 106 88 88 94 103 81 77 81
86 84 89 96 104 91 88 99 104
ELLIS 87 87 93 95 87 90 95 110 86 86 97 98 83 81 87 94 95 98 103 109 94 92 99 106 80 81 87 89
85 88 99 106 86 85 91 98
GALATI 84 80 86 92 90 89 101 111 86 84 91 99 82 85 89 90 90 93 98 109 84 90 96 98 85 86 92 92
93 93 102 114 94 99 103 106
GORSUCH 83 78 82 85 88 89 97 106 89 87 95 101 87 79 85 92 91 91 98 106 89 88 96 99 81 82 83
86 83 88 95 102 84 82 88 99
GRAGE 79 76 83 87 87 88 96 102 84 87 94 94 72 72 78 79 82 84 92 100 84 80 94 96 80 73 79 85
80 89 94 101 86 88 90 98
GU 86 84 91 95 92 95 108 112 90 91 98 101 87 84 90 95 92 94 101 112 90 85 93 98 76 76 79 88
78 79 91 100 88 84 92 98
GUO 81 76 81 92 86 84 91 102 85 86 88 96 84 82 84 91 90 90 98 105 94 96 99 101 80 77 80 88
86 86 95 102 83 81 87 100
HSU 86 87 91 97 89 88 100 110 86 89 95 104 82 79 87 90 85 90 95 105 89 85 94 97 75 72 77 84
83 84 96 102 88 81 95 97
KAO 79 82 88 86 81 85 97 102 84 80 89 95 78 76 80 90 81 85 92 104 85 85 100 100 78 71 79 83
81 85 94 102 79 80 88 98
KRISHNASWAMI 79 78 84 85 85 84 88 105 87 89 98 100 78 77 84 87 88 87 94 105 86 83 94 99 79 79
89 89 85 86 94 107 83 84 88 99
KRSKA 91 91 93 97 93 97 104 113 91 98 100 111 86 87 92 98 95 95 109 110 93 93 103 109 85 82 86
91 91 97 100 109 91 93 96 99
LI G 81 78 81 87 82 86 98 107 82 84 90 95 79 78 81 86 83 80 94 107 86 85 87 98 79 77 85 88 79
82 91 99 84 82 90 94
LI YA 84 82 89 90 88 92 97 110 90 88 96 103 84 82 84 93 90 92 102 111 89 89 98 100 72 69 79 80
85 85 91 98 84 85 90 97
LI YI 86 83 88 91 92 92 101 110 93 92 97 102 80 78 83 90 91 88 98 103 84 83 90 96 88 86 87 94
93 95 104 110 91 91 100 105
LI Z 71 72 74 83 74 77 89 96 73 72 78 91 78 75 83 85 84 87 99 105 85 82 92 92 77 77 80 87 81
81 91 96 85 86 91 100
POPESCU 81 72 80 86 83 92 95 107 80 80 87 91 78 78 82 85 93 86 101 108 91 89 99 102 94 87 96
99 92 94 103 114 96 95 104 112
ROGERS 79 77 81 86 77 83 90 97 84 85 91 90 79 77 85 86 85 90 100 110 89 85 95 104 77 74 83
81 85 85 96 102 87 89 92 94
STRAUBER 73 75 81 81 81 82 93 101 82 82 92 97 78 81 84 91 87 89 97 109 88 86 99 106 83 82 89
93 89 88 99 107 88 93 96 104
SUN 85 84 91 95 90 89 97 109 93 90 99 104 86 81 87 90 88 86 99 104 87 81 95 100 85 80 88 83
82 86 93 101 82 81 87 91
TAN 78 77 82 88 84 83 93 98 81 81 89 96 77 78 81 88 79 78 89 94 87 85 89 95 82 80 88 91 89
86 101 103 90 89 96 104
