The SAS System.docx
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TheSASSystem
TheSASSystem
TheLOGISTICProcedure
ModelInformation
DataSet
WORK.EXAMPLE19_2
ResponseVariable
y
NumberofResponseLevels
2
NumberofObservations
1649
LinkFunction
Logit
OptimizationTechnique
Fisher'sscoring
ResponseProfile
Ordered
Value
y
Total
Frequency
1
1
720
2
0
929
BackwardEliminationProcedure
ClassLevel
Information
Class
Value
DesignVariables
1
2
x7
1
1
0
2
0
1
3
0
0
Step0.Thefollowingeffectswereentered:
Interceptx1x2x3x4x5x6x7
ModelConvergenceStatus
Convergencecriterion（GCONV=1E-8）satisfied.
ModelFitStatistics
Criterion
Intercept
Only
Intercept
and
Covariates
AIC
2261.439
2178.468
SC
2266.847
2227.139
-2LogL
2259.439
2160.468
TestingGlobalNullHypothesis:
BETA=0
Test
Chi-Square
DF
Pr > ChiSq
LikelihoodRatio
98.9711
8
<.0001
Score
95.9696
8
<.0001
Wald
90.5396
8
<.0001
Step1.Effectx3isremoved:
ModelConvergenceStatus
Convergencecriterion（GCONV=1E-8）satisfied.
ModelFitStatistics
Criterion
Intercept
Only
Intercept
and
Covariates
AIC
2261.439
2176.569
SC
2266.847
2219.833
-2LogL
2259.439
2160.569
TestingGlobalNullHypothesis:
BETA=0
Test
Chi-Square
DF
Pr > ChiSq
LikelihoodRatio
98.8693
7
<.0001
Score
95.8501
7
<.0001
Wald
90.4148
7
<.0001
ResidualChi-SquareTest
Chi-Square
DF
Pr > ChiSq
0.1017
1
0.7498
Step2.Effectx5isremoved:
ModelConvergenceStatus
Convergencecriterion（GCONV=1E-8）satisfied.
ModelFitStatistics
Criterion
Intercept
Only
Intercept
and
Covariates
AIC
2261.439
2174.676
SC
2266.847
2212.532
-2LogL
2259.439
2160.676
TestingGlobalNullHypothesis:
BETA=0
Test
Chi-Square
DF
Pr > ChiSq
LikelihoodRatio
98.7621
6
<.0001
Score
95.7517
6
<.0001
Wald
90.3156
6
<.0001
ResidualChi-SquareTest
Chi-Square
DF
Pr > ChiSq
0.2089
2
0.9008
Step3.Effectx1isremoved:
ModelConvergenceStatus
Convergencecriterion（GCONV=1E-8）satisfied.
ModelFitStatistics
Criterion
Intercept
Only
Intercept
and
Covariates
AIC
2261.439
2175.263
SC
2266.847
2207.711
-2LogL
2259.439
2163.263
TestingGlobalNullHypothesis:
BETA=0
Test
Chi-Square
DF
Pr > ChiSq
LikelihoodRatio
96.1755
5
<.0001
Score
93.2706
5
<.0001
Wald
88.0773
5
<.0001
ResidualChi-SquareTest
Chi-Square
DF
Pr > ChiSq
2.7966
3
0.4241
Step4.Effectx4isremoved:
ModelConvergenceStatus
Convergencecriterion（GCONV=1E-8）satisfied.
ModelFitStatistics
Criterion
Intercept
Only
Intercept
and
Covariates
AIC
2261.439
2176.106
SC
2266.847
2203.146
-2LogL
2259.439
2166.106
TestingGlobalNullHypothesis:
BETA=0
Test
Chi-Square
DF
Pr > ChiSq
LikelihoodRatio
93.3326
4
<.0001
Score
90.8401
4
<.0001
Wald
86.0429
4
<.0001
ResidualChi-SquareTest
Chi-Square
DF
Pr > ChiSq
5.5554
4
0.2349
NOTE:
No（additional）effectsmetthe0.05significancelevelforremovalfromthemodel.
SummaryofBackwardElimination
Step
Effect
Removed
DF
Number
In
Wald
Chi-Square
Pr > ChiSq
1
x3
1
6
0.1017
0.7498
2
x5
1
5
0.1072
0.7434
3
x1
1
4
2.5862
0.1078
4
x4
1
3
2.7349
0.0982
TypeIIIAnalysisofEffects
Effect
DF
Wald
Chi-Square
Pr > ChiSq
x2
1
16.5718
<.0001
x6
1
62.9176
<.0001
x7
2
17.9084
0.0001
AnalysisofMaximumLikelihoodEstimates
Parameter
DF
Estimate
Standard
Error
Chi-Square
Pr > ChiSq
Intercept
1
0.4673
0.2976
2.4647
0.1164
x2
1
0.2327
0.0572
16.5718
<.0001
x6
1
-0.6089
0.0768
62.9176
<.0001
x7
1
1
-0.5004
0.1193
17.5977
<.0001
x7
2
1
-0.3403
0.1849
3.3893
0.0656
OddsRatioEstimates
Effect
PointEstimate
95%Wald
ConfidenceLimits
x2
1.262
1.128
1.412
x6
0.544
0.468
0.632
x71vs3
0.606
0.480
0.766
x72vs3
0.712
0.495
1.022
AssociationofPredictedProbabilitiesand
ObservedResponses
PercentConcordant
61.1
Somers'D
0.275
PercentDiscordant
33.6
Gamma
0.290
PercentTied
5.3
Tau-a
0.135
Pairs
668880
c
0.638
WaldConfidenceIntervalforAdjustedOddsRatios
Effect
Unit
Estimate
95%ConfidenceLimits
x2
1.0000
1.262
1.128
1.412
x6
1.0000
0.544
0.468
0.632
x71vs3
1.0000
0.606
0.480
0.766
x72vs3
1.0000
0.712
0.495
1.022
TheSASSystem
ThePHREGProcedure
ModelInformation
DataSet
WORK.EXAMPLE19_3
DependentVariable
time
CensoringVariable
case
CensoringValue（s）
0
TiesHandling
DISCRETE
SummaryoftheNumberofEventandCensoredValues
Stratum
id
Total
Event
Censored
Percent
Censored
1
1
2
1
1
50.00
2
2
2
1
1
50.00
3
3
2
1
1
50.00
4
4
2
1
1
50.00
5
5
2
1
1
50.00
6
6
2
1
1
50.00
7
7
2
1
1
50.00
8
8
2
1
1
50.00
9
9
2
1
1
50.00
10
10
2
1
1
50.00
11
11
2
1
1
50.00
12
12
2
1
1
50.00
13
13
2
1
1
50.00
14
14
2
1
1
50.00
15
15
2
1
1
50.00
16
16
2
1
1
50.00
17
17
2
1
1
50.00
18
18
2
1
1
50.00
19
19
2
1
1
50.00
20
20
2
1
1
50.00
21
21
2
1
1
50.00
22
22
2
1
1
50.00
23
23
2
1
1
50.00
24
24
2
1
1
50.00
25
25
2
1
1
50.00
26
26
2
1
1
50.00
27
27
2
1
1
50.00
28
28
2
1
1
50.00
29
29
2
1
1
50.00
30
30
2
1
1
50.00
31
31
2
1
1
50.00
32
32
2
1
1
50.00
33
33
2
1
1
50.00
34
34
2
1
1
50.00
35
35
2
1
1
50.00
36
36
2
1
1
50.00
37
37
2
1
1
50.00
38
38
2
1
1
50.00
39
39
2
1
1
50.00
40
40
2
1
1
50.00
41
41
2
1
1
50.00
42
42
2
1
1
50.00
43
43
2
1
1
50.00
44
44
2
1
1
50.00
45
45
2
1
1
50.00
46
46
2
1
1
50.00
47
47
2
1
1
50.00
48
48
2
1
1
50.00
49
49
2
1
1
50.00
50
50
2
1
1
50.00
51
51
2
1
1
50.00
52
52
2
1
1
50.00
53
53
2
1
1
50.00
54
54
2
1
1
50.00
55
55
2
1
1
50.00
56
56
2
1
1
50.00
57
57
2
1
1
50.00
58
58
2
1
1
50.00
59
59
2
1
1
50.00
60
60
2
1
1
50.00
61
61
2
1
1
50.00
62
62
2
1
1
50.00
63
63
2
1
1
50.00
64
64
2
1
1
50.00
65
65
2
1
1
50.00
66
66
2
1
1
50.00
67
67
2
1
1
50.00
68
68
2
1
1
50.00
69
69
2
1
1
50.00
70
70
2
1
1
50.00
71
71
2
1
1
50.00
72
72
2
1
1
50.00
73
73
2
1
1
50.00
74
74
2
1
1
50.00
75
75
2
1
1
50.00
76
76
2
1
1
50.00
77
77
2
1
1
50.00
78
78
2
1
1
50.00
79
79
2
1
1
50.00
80
80
2
1
1
50.00
81
81
2
1
1
50.00
82
82
2
1
1
50.00
83
83
2
1
1
50.00
84
84
2
1
1
50.00
85
85
2
1
1
50.00
86
86
2
1
1
50.00
87
87
2
1
1
50.00
88
88
2
1
1
50.00
89
89
2
1
1
50.00
90
90
2
1
1
50.00
91
91
2
1
1
50.00
92
92
2
1
1
50.00
93
93
2
1
1
50.00
94
94
2
1
1
50.00
95
95
2
1
1
50.00
96
96
2
1
1
50.00
97
97
2
1
1
50.00
98
98
2
1
1
50.00
99
99
2
1
1
50.00
100
100
2
1
1
50.00
101
101
2
1
1
50.00
102
102
2
1
1
50.00
103
103
2
1
1
50.00
104
104
2
1
1
50.00
105
105
2
1
1
50.00
106
106
2
1
1
50.00
107
107
2
1
1
50.00
108
108
2
1
1
50.00
109
109
2
1
1
50.00
110
110
2
1
1
50.00
111
111
2
1
1
50.00
112
112
2
1
1
50.00
113
113
2
1
1
50.00
114
114
2
1
1
50.00
115
115
2
1
1
50.00
116
116
2
1
1
50.00
117
117
2
1
1
50.00
118
118
2
1
1
50.00
119
119
2
1
1
50.00
120
120
2
1
1
50.00
121
121
2
1
1
50.00
122
122
2
1
1
50.00
123
123
2
1
1
50.00
124
124
2
1
1
50.00
125
125
2
1
1
50.00
126
126
2
1
1
50.00
127
127
2
1
1
50.00
128
128
2
1
1
50.00
129
129
2
1
1
50.00
130
130
2
1
1
50.00
131
131
2
1
1
50.00
132
132
2
1
1
50.00
133
133
2
1
1
50.00
134
134
2
1
1
50.00
135
135
2
1
1
50.00
136
136
2
1
1
50.00
137
137
2
1
1
50.00
138
138
2
1
1
50.00
139
139
2
1
1
50.00
140
140
2
1
1
50.00
141
141
2
1
1
50.00
142
142
2
1
1
50.00
143
143
2
1
1
50.00
144
144
2
1
1
50.00
145
145
2
1
1
50.00
146
146
2
1
1
50.00
147
147
2
1
1
50.00
148
148
2
1
1
50.00
149
149
2
1
1
50.00
150
150
2
1
1
50.00
151
151
2
1
1
50.00
152
152
2
1
1
50.00
153
153
2
1
1
50.00
154
154
2
1
1
50.00
155
155
2
1
1
50.00
156
156
2
1
1
50.00
157
157
2
1
1
50.00
158
158
2
1
1
50.00
159
159
2
1
1
50.00
160
160
2
1
1
50.00
161
161
2
1
1
50.00
162
162
2
1
1
50.00
163
163
2
1
1
50.00
164
164
2
1
1
50.00
165
165
2
1
1
50.00
166
166
2
1
1
50.00
167
167
2
1
1
50.00
168
168
2
1
1
50.00
169
169
2
1
1
50.00
170
170
2
1
1
50.00
171
171
2
1
1
50.00
172
172
2
1
1
50.00
173
173
2
1
1
50.00
174
174
2
1
1
50.00
175
175
2
1
1
50.00
176
176
2
1
1
50.00
177
177
2
1
1
50.00
178
178
2
1
1
50.00
179
179
2
1
1
50.00
180
180
2
1
1
50.00
181
181
2
1
1
50.00
182
182
2
1
1
50.00
183
183
2
1
1
50.00
184
184
2
1
1
50.00
185
185
2
1
1
50.00
186
186
2
1
1
50.00
187
187
2
1
1
50.00
188
188
2
1
1
50.00
189
189
2
1
1
50.00
190
190
2
1
1
50.00
191
191
2
1
1
50.00
192
192
2
1
1
50.00
193
193
2
1
1
50.00
194
194
2
1
1
50.00
195
195
2
1
1
50.00
196
196
2
1
1
50.00
197
197
2
1
1
50.00
198
198
2
1
1
50.00
199
199
2
1
1
50.00
200
200
2
1
1
50.00
201
201
2
1
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