1
***********************************************************************;
2
***
SENIC hospital study
from Appendix C
of:
***;
3
***
Neter, J., Kutner,
M. H., Nachtsheim, C. J., and Wasserman, W., ***;
4
***
Applied Linear Statistical Models,
4th Edition, Richard D. ***;
5
***
Irwin, Inc., Burr
Ridge, Illinois,
1996.
***;
6
***********************************************************************;
7
OPTIONS
PS=256 LS=121 NOCENTER NODATE
NONUMBER;
8
9
DATA
SENIC; Infile cards
missover;
10
TITLE1
'SENIC database
from NKNW 1996 (Appendix C)';
11
INPUT IDNo LtofStay Age InfRisk CulRatio XRay NoBeds MedSch
Region
Census Nurses Services;
12
***
label IDNo = 'Identification number'
13
LtofStay =
'Length of stay (days)'
14
Age =
'Patient age (years)'
15
InfRisk = 'Average Infection risk
(%)'
16
CulRatio =
'ratio cultures to patients w/o symptoms'
17
XRay = 'ratio
xrays to patients w/o symptoms'
18
NoBeds = 'Average no. of beds
in hosp.'
19
MedSch = 'Med School
Affiliation'
20
Region = 'Region NE,
NC, S, W'
21
Census = 'Average no.
patients in hosp.'
22
Nurses = 'Av. no. nurses'
23
Services = '% of
35 potential service facilities';
24
CARDS;
NOTE:
The data set WORK.SENIC has 113 observations and
12 variables.
NOTE:
DATA statement used:
real time
0.30 seconds
cpu
time
0.12 seconds
24
!
Run;
138
;
139
Proc print
data=SENIC;
RUN;
NOTE:
There were 113 observations read from the data set WORK.SENIC.
NOTE:
The PROCEDURE PRINT printed page 1.
NOTE:
PROCEDURE PRINT used:
real time
0.26 seconds
cpu
time
0.09 seconds
SENIC database
from NKNW 1996 (Appendix C)
Ltof
Inf
Cul
No Med
Obs
IDNo
Stay Age
Risk
Ratio XRay
Beds
Sch Region
Census
Nurses Services
1
1 7.13
55.7
4.1 9.0
39.6
279 2
4
207 241
60.0
2
2 8.82
58.2 1.6
3.8 51.7
80
2
2
51
52 40.0
3
3 8.34
56.9
2.7 8.1
74.0
107 2
3
82 54
20.0
4
4 8.95
53.7
5.6 18.9
122.8
147 2
4
53 148 40.0
5
5 11.20
56.5
5.7 34.5
88.9
180 2
1
134 151
40.0
6
6 9.76
50.9
5.1 21.9
97.0
150 2
2
147 106
40.0
7
7 9.68
57.8
4.6 16.7
79.0
186 2
3
151 129
40.0
8
8 11.18
45.7
5.4 60.5
85.8
640 1
2
399 360
60.0
9
9 8.67
48.2
4.3 24.4
90.8
182 2
3
130 118
40.0
10
10 8.84
56.3
6.3 29.6
82.6
85 2
1
59 66
40.0
. . .
109
109
11.80 53.8
5.7
9.1 116.9
571
1
2 441
469 62.9
110
110
9.50 49.3
5.8
42.0 70.9
98
2
3
68 46
22.9
111
111
7.70 56.9
4.4
12.2 67.9
129
2
4
85
136 62.9
112
112
17.94 56.2
5.9
26.4 91.8
835
1
1 791
407 62.9
113
113 9.41
59.5 3.1
20.6
91.7 29
2
3
20 22
22.9
140
proc reg data=SENIC all LINEPRINTER;
141
TITLE2 'Full Model with
diagnostics';
142
model InfRisk = LtofStay Age
CulRatio XRay NoBeds Census Nurses Services
143
/ all influence collin
partial;
144
output out=next1 p=YHat r=e;
145
OPTIONS PS=50 LS=160; PLOT
RESIDUAL.*PREDICTED. / VREF=0;
146
OPTIONS PS=60 LS=120;
147
Run;
NOTE:
113 observations read.
NOTE:
113 observations used in computations.
148
OPTIONS PS=50 LS=130;
NOTE:
The data set WORK.NEXT1 has 113 observations and 14 variables.
NOTE:
The PROCEDURE REG printed pages 2-28.
NOTE:
PROCEDURE REG used:
real time
0.63 seconds
cpu
time
0.22 seconds
149
proc plot data=next1; PLOT e*YHat /
VREF=0;
150
run;
151
OPTIONS PS=256 LS=121;
152
NOTE:
There were 113 observations read from the data set WORK.NEXT1.
NOTE:
The PROCEDURE PLOT printed page 29.
NOTE:
PROCEDURE PLOT used:
real time
0.02 seconds
cpu
time
0.01 seconds
SENIC
database from NKNW 1996 (Appendix C)
Full
Model with diagnostics
The
REG Procedure
Descriptive
Statistics
Uncorrected
Standard
Variable
Sum
Mean
SS
Variance Deviation
Intercept
113.00000
1.00000
113.00000
0
0
LtofStay
1090.26000
9.64832
10928
3.65366 1.91146
Age
6015.20000
53.23186
322430
19.90594 4.46161
CulRatio
1784.60000
15.79292
39916
104.74924
10.23471
XRay
9224.00000
81.62832
794935
374.95776
19.36383
NoBeds
28495
252.16814
11350621
37188 192.84269
Census
21625
191.37168
6786317
23642 153.75956
Nurses
19577
173.24779
5563895
19395 139.26539
Services
4877.00000
43.15929
236367
231.06619
15.20086
InfRisk
492.10000
4.35487
2344.41000
1.79803
1.34091
Uncorrected Sums of Squares and Crossproducts
Variable
Intercept
LtofStay
Age
CulRatio
XRay
Intercept
113
1090.26
6015.2
1784.6
9224
LtofStay
1090.26
10928.3862
58217.008
17934.179
90581.657
Age
6015.2
58217.008
322429.74
93842.53
490828.22
CulRatio
1784.6
17934.179
93842.53
39915.96
155106.57
XRay
9224
90581.657
490828.22
155106.57
794934.88
NoBeds
28495
291825.09
1511173.4
480905.9
2345162.1
Census
21625
224243.93
1146930.4
366716.9
1786191.9
Nurses
19577
199032.96
1036347.9
340930
1621409.2
Services
4877
48211.858
259304.51
80247.9 401791.21
InfRisk
492.1
4901.071
26196.13
8631.16
41487.8
Uncorrected Sums of Squares and Crossproducts
Variable
NoBeds
Census
Nurses
Services
InfRisk
Intercept
28495
21625
19577
4877
492.1
LtofStay
291825.09
224243.93
199032.96
48211.858
4901.071
Age
1511173.4
1146930.4
1036347.9
259304.51
26196.13
CulRatio
480905.9
366716.9
340930
80247.9
8631.16
XRay
2345162.1
1786191.9
1621409.2
401791.21
41487.8
NoBeds
11350621
8710988
7690447
1490677.5
134511.4
Census
8710988
6786317
5923892
1136997.3
102981.5
Nurses
7690447
5923892
5563895
1030697.7
93495.4
Services
1490677.5
1136997.3
1030697.7
236367.28
22180.61
InfRisk
134511.4
102981.5
93495.4
22180.61
2344.41
SENIC
database from NKNW 1996 (Appendix C)
Full
Model with diagnostics
The
REG Procedure
Correlation
Variable
LtofStay
Age
CulRatio
XRay
NoBeds
LtofStay
1.0000
0.1889
0.3267
0.3825
0.4093
Age
0.1889
1.0000
-0.2258
-0.0189
-0.0588
CulRatio
0.3267
-0.2258
1.0000
0.4250
0.1397
XRay
0.3825
-0.0189
0.4250
1.0000
0.0458
NoBeds
0.4093
-0.0588
0.1397
0.0458
1.0000
Census
0.4739
-0.0548
0.1429
0.0629
0.9810
Nurses
0.3404
-0.0829
0.1989
0.0774
0.9155
Services
0.3555
-0.0405
0.1851
0.1119
0.7945
InfRisk
0.5334
0.0011
0.5592
0.4534
0.3598
Correlation
Variable
Census
Nurses
Services
InfRisk
LtofStay
0.4739
0.3404
0.3555
0.5334
Age
-0.0548
-0.0829
-0.0405
0.0011
CulRatio
0.1429
0.1989
0.1851
0.5592
XRay
0.0629
0.0774
0.1119
0.4534
NoBeds
0.9810
0.9155
0.7945
0.3598
Census
1.0000
0.9079
0.7781
0.3814
Nurses
0.9079
1.0000
0.7835
0.3940
Services
0.7781
0.7835
1.0000
0.4126
InfRisk
0.3814
0.3940
0.4126
1.0000
Model
Crossproducts
X'X X'Y Y'Y
Variable
Intercept
LtofStay
Age
CulRatio
XRay
Intercept
113
1090.26
6015.2
1784.6
9224
LtofStay
1090.26
10928.3862
58217.008
17934.179
90581.657
Age
6015.2
58217.008
322429.74
93842.53
490828.22
CulRatio
1784.6
17934.179
93842.53
39915.96
155106.57
XRay
9224
90581.657
490828.22
155106.57
794934.88
NoBeds
28495
291825.09
1511173.4
480905.9
2345162.1
Census
21625
224243.93
1146930.4
366716.9 1786191.9
Nurses
19577
199032.96
1036347.9
340930
1621409.2
Services
4877
48211.858
259304.51
80247.9
401791.21
InfRisk
492.1
4901.071
26196.13
8631.16
41487.8
Model Crossproducts X'X X'Y Y'Y
Variable
NoBeds
Census
Nurses
Services
InfRisk
Intercept
28495
21625
19577
4877
492.1
LtofStay
291825.09
224243.93
199032.96
48211.858
4901.071
Age
1511173.4
1146930.4
1036347.9
259304.51
26196.13
CulRatio
480905.9
366716.9
340930
80247.9
8631.16
XRay
2345162.1
1786191.9
1621409.2
401791.21
41487.8
NoBeds
11350621
8710988
7690447
1490677.5
134511.4
Census
8710988
6786317
5923892
1136997.3
102981.5
Nurses
7690447
5923892
5563895
1030697.7
93495.4
Services
1490677.5
1136997.3
1030697.7
236367.28
22180.61
InfRisk
134511.4
102981.5
93495.4
22180.61
2344.41
X'X
Inverse, Parameter Estimates, and SSE
Variable
Intercept
LtofStay
Age
CulRatio
XRay
Intercept
1.5858508096
-0.001322824 -0.025196942
-0.002266262
-0.001378744
LtofStay
-0.001322824
0.0051859266
-0.000559317
-0.000236511 -0.000125206
Age
-0.025196942
-0.000559317
0.0005385865
0.0000791345 3.7315905E-6
CulRatio
-0.002266262
-0.000236511
0.0000791345
0.0001256418 -0.000018668
XRay
-0.001378744
-0.000125206
3.7315905E-6
-0.000018668 0.0000327219
NoBeds
-0.000134192
0.0000554848
-5.086015E-6
-1.744267E-6 1.2384372E-7
Census
0.000244251
-0.000120582
0.0000114987
6.2102827E-6 1.3610934E-6
Nurses
9.3582332E-6
0.0000327339
-1.741494E-6
-3.965013E-6 -6.872235E-7
Services
-0.002065552
-0.00003638
-5.727461E-6
-4.319302E-6 -3.724035E-6
InfRisk
-0.747255248
0.1769313961
0.016213596
0.0469933765 0.0120368799
X'X
Inverse, Parameter Estimates, and SSE
Variable
NoBeds
Census
Nurses
Services
InfRisk
Intercept
-0.000134192
0.000244251
9.3582332E-6
-0.002065552 -0.747255248
LtofStay
0.0000554848
-0.000120582
0.0000327339
-0.00003638 0.1769313961
Age
-5.086015E-6
0.0000114987
-1.741494E-6
-5.727461E-6 0.016213596
CulRatio
-1.744267E-6
6.2102827E-6
-3.965013E-6
-4.319302E-6 0.0469933765
XRay
1.2384372E-7
1.3610934E-6
-6.872235E-7
-3.724035E-6 0.0120368799
NoBeds
7.9876579E-6
-8.96859E-6
-8.686793E-7
-6.032734E-6 -0.00144718
Census
-8.96859E-6
0.0000131054
-1.498917E-6 2.5756281E-6
0.0007279559
Nurses
-8.686793E-7
-1.498917E-6
3.3422233E-6
-4.330367E-6 0.001906211
Services
-6.032734E-6
2.5756281E-6
-4.330367E-6
0.0001128895 0.0162795745
InfRisk
-0.00144718
0.0007279559
0.001906211
0.0162795745 95.639819869
SENIC
database from NKNW 1996 (Appendix C)
Full
Model with diagnostics
The
REG Procedure
Model:
MODEL1
Dependent
Variable: InfRisk
Analysis
of Variance
Sum of
Mean
Source
DF
Squares
Square F Value
Pr > F
Model
8
105.74000
13.21750 14.37
<.0001
Error
104
95.63982 0.91961
Corrected
Total
112
201.37982
Root
MSE
0.95896 R-Square
0.5251
Dependent
Mean
4.35487 Adj R-Sq
0.4885
Coeff
Var
22.02053
Parameter Estimates
Squared
Parameter
Standard
Standardized Semi-partial
Variable
DF
Estimate
Error
t Value Pr > |t|
Type
I SS Type II SS
Estimate
Corr Type I
Intercept
1
-0.74726 1.20763
-0.62 0.5374
2143.03018
0.35211
0
.
LtofStay
1
0.17693 0.06906
2.56
0.0118 57.30511
6.03648
0.25221 0.28456
Age
1 0.01621
0.02226 0.73
0.4679
2.07506
0.48809
0.05395 0.01030
CulRatio
1
0.04699 0.01075
4.37
<.0001 31.45735
17.57678
0.35868 0.15621
XRay
1
0.01204 0.00549
2.19
0.0304
3.84765
4.42782
0.17382 0.01911
NoBeds
1
-0.00145 0.00271
-0.53 0.5945
6.51642
0.26220
-0.20813 0.03236
Census
1
0.00072796
0.00347 0.21
0.8343
0.17436
0.04044
0.08347 0.00086581
Nurses
1
0.00191 0.00175
1.09
0.2794
2.01642
1.08719
0.19798 0.01001
Services
1
0.01628 0.01019
1.60
0.1131
2.34765
2.34765
0.18455 0.01166
Parameter Estimates
Squared
Squared
Squared
Partial
Semi-partial
Partial
Variance
Variable
DF Corr
Type I
Corr Type II Corr Type II
Tolerance
Inflation 95%
Confidence Limits
Intercept
1
.
.
.
.
0
-3.14203 1.64752
LtofStay
1
0.28456
0.02998
0.05937
0.47122
2.12214
0.03999 0.31388
Age
1
0.01440
0.00242
0.00508
0.83281
1.20076
-0.02792
0.06035
CulRatio
1
0.22153
0.08728
0.15525
0.67842
1.47402
0.02568 0.06831
XRay
1
0.03481
0.02199
0.04425
0.72772
1.37416
0.00116 0.02291
NoBeds
1
0.06108
0.00130
0.00273
0.03006
33.26931
-0.00682 0.00393
Census
1
0.00174 0.00020079
0.00042261
0.02882
34.70183
-0.00616
0.00761
Nurses
1
0.02016
0.00540
0.01124
0.13774
7.26005
-0.00157
0.00538
Services
1
0.02396
0.01166
0.02396
0.34229
2.92151
-0.00393
0.03648
Covariance of Estimates
Variable
Intercept
LtofStay
Age
CulRatio
XRay
Intercept
1.4583700555
-0.001216487
-0.023171451
-0.002084085 -0.001267912
LtofStay
-0.001216487
0.0047690489
-0.000514356
-0.000217498 -0.000115141
Age
-0.023171451 -0.000514356
0.0004952915
0.0000727731 3.4316216E-6
CulRatio
-0.002084085
-0.000217498
0.0000727731
0.0001155419 -0.000017167
XRay
-0.001267912
-0.000115141
3.4316216E-6
-0.000017167 0.0000300915
NoBeds
-0.000123405
0.0000510246
-4.677169E-6
-1.604051E-6 1.1388838E-7
Census
0.0002246165
-0.000110889
0.0000105743
5.7110607E-6 1.2516801E-6
Nurses
8.6059591E-6
0.0000301025
-1.601502E-6
-3.64628E-6 -6.319801E-7
Services
-0.00189951
-0.000033456
-5.267051E-6
-3.972089E-6 -3.424674E-6
Covariance of
Estimates
Variable
NoBeds
Census
Nurses
Services
Intercept
-0.000123405
0.0002246165
8.6059591E-6 -0.00189951
LtofStay
0.0000510246
-0.000110889
0.0000301025 -0.000033456
Covariance
of Estimates
Variable
NoBeds
Census
Nurses
Services
Age
-4.677169E-6
0.0000105743
-1.601502E-6 -5.267051E-6
CulRatio
-1.604051E-6
5.7110607E-6
-3.64628E-6 -3.972089E-6
XRay
1.1388838E-7
1.2516801E-6
-6.319801E-7 -3.424674E-6
NoBeds
7.3455592E-6
-8.247638E-6
-7.988493E-7 -5.547785E-6
Census
-8.247638E-6
0.0000120519
-1.378425E-6 2.3685827E-6
Nurses
-7.988493E-7
-1.378425E-6 3.0735542E-6
-3.982265E-6
Services
-5.547785E-6
2.3685827E-6
-3.982265E-6 0.0001038147
SENIC
database from NKNW 1996 (Appendix C)
Full
Model with diagnostics
The
REG Procedure
Model:
MODEL1
Dependent
Variable: InfRisk
Correlation
of Estimates
Variable
Intercept
LtofStay
Age
CulRatio
XRay
Intercept
1.0000
-0.0146
-0.8622
-0.1606
-0.1914
LtofStay
-0.0146
1.0000
-0.3347
-0.2930
-0.3039
Age
-0.8622
-0.3347
1.0000
0.3042
0.0281
CulRatio
-0.1606
-0.2930
0.3042
1.0000
-0.2911
XRay
-0.1914
-0.3039
0.0281
-0.2911
1.0000
NoBeds
-0.0377
0.2726
-0.0775
-0.0551
0.0077
Census
0.0536
-0.4625
0.1369
0.1530
0.0657
Nurses
0.0041
0.2486
-0.0410
-0.1935
-0.0657
Services
-0.1544
-0.0475
-0.0232
-0.0363
-0.0613
Correlation of
Estimates
Variable
NoBeds
Census
Nurses
Services
Intercept
-0.0377
0.0536
0.0041
-0.1544
LtofStay
0.2726
-0.4625
0.2486
-0.0475
Age
-0.0775
0.1369
-0.0410
-0.0232
CulRatio
-0.0551
0.1530
-0.1935
-0.0363
XRay
0.0077
0.0657
-0.0657
-0.0613
NoBeds
1.0000
-0.8766
-0.1681
-0.2009
Census
-0.8766
1.0000
-0.2265
0.0670
Nurses
-0.1681
-0.2265
1.0000
-0.2229
Services
-0.2009
0.0670
-0.2229
1.0000
Sequential
Parameter Estimates
Intercept
LtofStay
Age
CulRatio
XRay
4.354867
0
0
0
0
0.744304
0.374217
0
0
0
2.265909
0.387916
-0.031067
0
0
0.397766
0.269740
0.008351
0.057623
0
-0.083236
0.239464
0.008050
0.050572
0.011031
-0.424573
0.169755
0.017327
0.050376
0.013107
-0.393711
0.157208
0.018602
0.050908
0.013235
-0.449386
0.182178
0.017040
0.047616
0.012574
-0.747255
0.176931
0.016214
0.046993
0.012037
Sequential Parameter
Estimates
NoBeds
Census
Nurses
Services
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001403
0
0
0
0.000299
0.001472
0
0
-0.000577
0.000357
0.002531
0
-0.001447
0.000728
0.001906
0.016280
Collinearity Diagnostics
Condition -----------------------------Proportion
of
Variation-----------------------------
Number
Eigenvalue
Index Intercept
LtofStay
Age
CulRatio
XRay NoBeds
1
7.92221
1.00000 0.00008203
0.00026608
0.00008384
0.00241 0.00055647
0.00014889
2
0.70667 3.34824
0.00062369
0.00113
0.00066774
0.02105
0.00504 0.00316
3
0.23449
5.81248
0.00150
0.00158
0.00222 0.67694
0.00076682
0.00000481
4
0.04727 12.94588
0.00082735
0.04556
0.00039099
0.00635
0.00030739
0.02079
5
0.03554 14.93049
0.00123
0.00104
0.00130
0.09639
0.43090 0.00276
6
0.02878
16.59008
0.01898
0.01720
0.02926
0.06172 0.48518
0.00092814
7
0.01657
21.86586 0.03592
0.60385
0.02075
0.05279
0.05646 0.10941
8
0.00546
38.09407
0.03300
0.27836
0.00195
0.01730
0.00245 0.85653
9
0.00301
51.29072
0.90784 0.05102
0.94338
0.06505
0.01834 0.00627
Number
Census
Nurses Services
1 0.00014895
0.00070822
0.00057691
2
0.00351
0.01543 0.00004055
3 8.741457E-8
0.00219 0.00244
4
0.05162
0.47665 0.11157
5
0.00000597
0.22472 0.43144
6
0.00018174
0.13803 0.36303
7
0.00117
0.13349 0.06932
8
0.93113
0.00712 0.01485
9
0.01224
0.00166 0.00673
SENIC database
from NKNW 1996 (Appendix C)
Full Model
with
diagnostics
The REG
Procedure
Model: MODEL1
Dependent
Variable: InfRisk
Output Statistics
Dep Var
Predicted Std
Error
Std Error
Obs InfRisk
Value Mean Predict 95%
CL
Mean 95%
CL Predict Residual
Residual
1 4.1000
3.5001 0.3025
2.9002
4.0999 1.5060
5.4941
0.5999 0.910
2 1.6000
3.2294 0.2303
2.7727
3.6862 1.2737 5.1852
-1.6294 0.931
3 2.7000
3.2557 0.2019
2.8553
3.6560 1.3123 5.1990
-0.5557 0.937
4 5.6000
4.8324 0.3086
4.2204
5.4444 2.8347
6.8301
0.7676 0.908
5 5.7000
5.6179 0.2338
5.1542
6.0816 3.6605
7.5753
0.0821 0.930
6 5.1000
4.7448 0.1833
4.3812
5.1083 2.8087
6.6809
0.3552 0.941
7 4.6000
4.3761 0.1467
4.0853
4.6670 2.4523
6.2999
0.2239 0.948
8 5.4000
6.8749 0.5686
5.7473
8.0026 4.6641 9.0858
-1.4749 0.772
9 4.3000
4.5152 0.1671
4.1839
4.8465 2.5849 6.4455
-0.2152 0.944
10 6.3000
4.8118 0.2339
4.3481
5.2756 2.8544
6.7692
1.4882 0.930
11 4.9000
6.7534 0.3947
5.9706
7.5361 4.6969 8.8098
-1.8534 0.874
12 4.3000
3.5753 0.1927
3.1932
3.9575 1.6357
5.5150
0.7247 0.939
13 7.7000
7.3160 0.3647
6.5927
8.0392 5.2814
9.3505
0.3840 0.887
14 3.7000
4.2070 0.2082
3.7942
4.6198 2.2611 6.1530
-0.5070 0.936
15 4.2000
3.6547 0.2068
3.2446
4.0648 1.7093
5.6001
0.5453 0.936
16 5.5000
5.0455 0.3143
4.4223
5.6687 3.0443
7.0467
0.4545 0.906
17 4.5000
4.5928 0.2155
4.1655
5.0201 2.6437 6.5419
-0.0928 0.934
18 6.4000
5.2613 0.1774
4.9095
5.6131 3.3273
7.1952
1.1387 0.942
19 4.2000
3.6730 0.1499
3.3757
3.9703 1.7482
5.5977
0.5270 0.947
20 4.1000
4.9375 0.4201
4.1044
5.7706 2.8614 7.0136
-0.8375 0.862
21 4.2000
3.8105 0.3312
3.1537
4.4674 1.7986
5.8224
0.3895 0.900
22 4.8000
5.6847 0.2423
5.2043
6.1651 3.7233 7.6461
-0.8847 0.928
23 5.0000
4.9035 0.2109
4.4854
5.3216 2.9564
6.8506
0.0965 0.935
24 4.8000
4.9061 0.3527
4.2066
5.6056 2.8799 6.9323
-0.1061 0.892
25 4.0000
4.5309 0.1766
4.1807
4.8810 2.5972 6.4645
-0.5309 0.943
26 3.9000
4.7168 0.3373
4.0480 5.3856
2.7009 6.7326
-0.8168
0.898
27 4.5000
5.0818 0.2135
4.6584
5.5052 3.1336 7.0300
-0.5818 0.935
28 3.2000
3.3972 0.1926
3.0152
3.7792 1.4576 5.3369
-0.1972 0.939
29
4.4000 4.9918
0.1704
4.6539 5.3296
3.0603
6.9232 -0.5918
0.944
30 4.9000
4.5468 0.1700
4.2096
4.8840 2.6155
6.4781
0.3532 0.944
31 5.0000
5.4726 0.2575
4.9619
5.9833
3.5035
7.4416 -0.4726
0.924
32 5.2000
4.7400 0.2468
4.2505
5.2295 2.7763
6.7036
0.4600 0.927
33 5.3000
4.4081 0.2659
3.8807
4.9355 2.4346
6.3815
0.8919 0.921
34
6.1000 5.9570
0.2454
5.4704 6.4435
3.9940
7.9199 0.1430 0.927
35 6.3000
4.3256 0.1711
3.9863
4.6649 2.3939
6.2573
1.9744 0.944
36 5.0000
5.1517 0.2032
4.7488
5.5546 3.2078 7.0956
-0.1517 0.937
37 2.8000
4.2150 0.1698
3.8782
4.5518 2.2838 6.1463
-1.4150 0.944
38 4.6000
3.4214 0.2044
3.0160
3.8268 1.4770
5.3658
1.1786 0.937
39 4.1000
4.0817 0.2365
3.6126
4.5507 2.1230
6.0403
0.0183 0.929
40 1.3000
2.6742 0.2781
2.1228
3.2256 0.6942 4.6542
-1.3742 0.918
41 3.7000
3.9159 0.1748
3.5693
4.2626 1.9829 5.8489
-0.2159 0.943
42 4.7000
4.9090 0.1576
4.5965
5.2214 2.9818 6.8362
-0.2090 0.946
43 3.0000
3.7888 0.3245
3.1453
4.4323 1.7812 5.7964
-0.7888 0.902
44 5.6000
4.6250 0.1662
4.2955
4.9546 2.6950
6.5550
0.9750 0.944
45 5.5000
3.9156 0.1419
3.6343
4.1969 1.9933
5.8380
1.5844 0.948
46 4.6000
4.5727 0.4242
3.7315
5.4139 2.4933
6.6521
0.0273 0.860
47 6.5000
6.7821 0.5490
5.6935
7.8707 4.5909 8.9733
-0.2821 0.786
48 5.5000
4.1778 0.3715
3.4411
4.9145 2.1384
6.2171
1.3222 0.884
49 1.8000
2.2184 0.3082
1.6073
2.8295 0.2210 4.2159
-0.4184 0.908
50 4.2000
4.1237 0.1562
3.8140
4.4333 2.1970
6.0504
0.0763 0.946
51 5.6000
5.2600 0.2160
4.8316
5.6885 3.3107
7.2094
0.3400 0.934
52 4.3000
4.1467 0.3460
3.4606
4.8328 2.1251
6.1683
0.1533 0.894
53 7.6000
5.0438 0.3878
4.2748
5.8129 2.9926
7.0951
2.5562 0.877
54 7.8000
6.3393 0.4085
5.5292
7.1495 4.2723
8.4064
1.4607 0.868
55 3.1000
3.2399 0.1803
2.8824
3.5973 1.3049 5.1748
-0.1399 0.942
56 3.9000
4.3604 0.1821
3.9992
4.7215 2.4247
6.2960 -0.4604
0.942
57 3.7000
3.0107 0.2188
2.5768
3.4447 1.0602
4.9613
0.6893 0.934
58 4.3000
4.0995 0.2552
3.5935
4.6055 2.1316
6.0673
0.2005 0.924
59 3.9000
5.2170 0.2057
4.8092
5.6248 3.2721 7.1619
-1.3170 0.937
60 4.5000
4.7098 0.1862
4.3405
5.0791 2.7726 6.6470
-0.2098 0.941
61 3.4000
3.6326 0.2324
3.1717
4.0936 1.6759 5.5893
-0.2326 0.930
62 5.7000
5.0145 0.3804
4.2602
5.7688 2.9687
7.0603
0.6855 0.880
63 5.4000
3.7195 0.3105
3.1039
4.3352 1.7207
5.7184
1.6805 0.907
64 4.4000
4.0297 0.1988
3.6356
4.4238 2.0876
5.9718
0.3703 0.938
65 5.0000
4.2063 0.2820
3.6471
4.7654 2.2241
6.1884
0.7937 0.917
66 4.3000
5.0302 0.4047
4.2277
5.8327 2.9661 7.0942
-0.7302 0.869
67 4.4000
4.2694 0.2055
3.8619
4.6770 2.3246
6.2143
0.1306 0.937
68 3.7000
4.1120 0.2099
3.6957
4.5283 2.1653 6.0587
-0.4120 0.936
69 4.5000
3.9764 0.3032
3.3752
4.5776 1.9820
5.9708
0.5236 0.910
70 3.5000
4.2224 0.1981
3.8296
4.6152 2.2806 6.1642
-0.7224 0.938
71 4.2000
3.6541 0.1704
3.3161
3.9921 1.7226
5.5856
0.5459 0.944
72 2.0000
3.0916 0.1828
2.7292
3.4540 1.1557 5.0275
-1.0916 0.941
73 5.2000
4.1729 0.1431
3.8890
4.4567 2.2502
6.0956
1.0271 0.948
74 4.5000
5.8951
0.3613
5.1786 6.6115
3.8629
7.9272 -1.3951
0.888
Dep Var
Predicted Std
Error
Std Error
Obs InfRisk
Value Mean Predict 95%
CL
Mean 95%
CL Predict Residual
Residual
75 3.4000
3.7978 0.3644
3.0752
4.5204 1.7635 5.8321
-0.3978 0.887
76 4.5000
3.3530 0.1970
2.9624
3.7436 1.4116
5.2943
1.1470 0.939
77 2.9000
3.7601
0.1645
3.4338 4.0863
1.8306
5.6895 -0.8601
0.945
78 4.9000
4.6400 0.3034
4.0384
5.2416 2.6455
6.6346
0.2600 0.910
79 4.4000
4.2309 0.1372
3.9589
4.5029 2.3099
6.1519
0.1691 0.949
80 5.1000
5.1301 0.2551
4.6243
5.6359 3.1623 7.0979
-0.0301 0.924
81 2.9000
3.6909 0.4178
2.8623
4.5195 1.6166 5.7653
-0.7909 0.863
82 3.5000
3.6466 0.2147
3.2208
4.0724 1.6978 5.5954
-0.1466 0.935
83 5.5000
3.4759 0.1938
3.0917
3.8602 1.5359
5.4160
2.0241 0.939
84 4.7000
2.9373 0.2322
2.4769
3.3978 0.9807
4.8939
1.7627 0.930
85 1.7000
3.4202 0.2271
2.9699
3.8706 1.4660 5.3745
-1.7202 0.932
86 4.1000
4.3757 0.1499
4.0785
4.6730 2.4510 6.3005
-0.2757 0.947
87 2.9000
4.0162 0.3516
3.3189
4.7135 1.9907 6.0417
-1.1162 0.892
88 4.3000
4.7994 0.2635
4.2769
5.3219 2.8272 6.7715
-0.4994 0.922
89 4.8000
4.6353 0.1427
4.3524
4.9182 2.7127
6.5579
0.1647 0.948
90 5.8000
5.1161 0.2283
4.6634
5.5688 3.1613
7.0709
0.6839 0.931
91 2.9000
3.5738 0.1698
3.2371
3.9105 1.6425 5.5050
-0.6738 0.944
92 2.0000
3.3353 0.1641
3.0100
3.6607 1.4060 5.2646
-1.3353 0.945
93 1.3000
2.8328 0.3000
2.2379
3.4276 0.8402 4.8253
-1.5328 0.911
94 5.3000
3.5739 0.1575
3.2616
3.8862 1.6468
5.5011
1.7261 0.946
95 5.3000
4.1800 0.2006
3.7821
4.5779 2.2371
6.1228
1.1200 0.938
96 2.5000
4.7218 0.2338
4.2581
5.1855 2.7644 6.6792
-2.2218 0.930
97 3.8000
3.6521 0.1357
3.3830
3.9212 1.7315
5.5727
0.1479 0.949
98 4.8000
4.6121 0.2273
4.1613
5.0629 2.6578
6.5665
0.1879 0.932
99 2.3000
3.1092 0.1950
2.7224
3.4960 1.1686 5.0498
-0.8092 0.939
100 6.2000
4.6116 0.2199
4.1755
5.0476 2.6606
6.5626
1.5884 0.933
101 2.6000
3.5498 0.1930
3.1670
3.9326 1.6100 5.4896
-0.9498 0.939
102 4.3000
4.3379 0.2770
3.7887 4.8872
2.3586
6.3173 -0.0379
0.918
103 2.7000
3.5443 0.2496
3.0493
4.0392 1.5792 5.5093
-0.8443 0.926
104 6.6000
6.2094 0.4199
5.3767
7.0421 4.1334 8.2854
0.3906
0.862
105 4.5000
3.9279 0.1929
3.5454
4.3104 1.9882
5.8677
0.5721 0.939
106 2.9000
3.3188 0.3339
2.6567
3.9810 1.3052 5.3325
-0.4188 0.899
107 1.4000
2.4051 0.2470
1.9153 2.8950
0.4414
4.3689 -1.0051
0.927
108 2.1000
2.6359 0.2276
2.1846
3.0872 0.6814 4.5904
-0.5359 0.932
109 5.7000
5.4603 0.3348
4.7964
6.1242 3.4460
7.4745
0.2397 0.899
110 5.8000
4.9282 0.3457
4.2428
5.6137 2.9068
6.9497
0.8718 0.895
111 4.4000
4.0867 0.3228
3.4466
4.7268 2.0802
6.0932
0.3133 0.903
112 5.9000
6.8509 0.6281
5.6055
8.0964 4.5777 9.1242
-0.9509 0.725
113 3.1000
4.3416 0.2219
3.9016
4.7815 2.3897 6.2935
-1.2416 0.933
Output
Statistics
Student
Cook's
Hat Diag
Cov
Obs Residual -2-1
0 1
2
D
RStudent
H
Ratio DFFITS
1
0.659 |
|*
|
0.005
0.6575
0.0995
1.1666 0.2185
2
-1.750 |
***|
|
0.021
-1.7682
0.0577 0.8845
-0.4375
3
-0.593 |
*|
|
0.002
-0.5909
0.0443 1.1072
-0.1272
4
0.845 |
|*
|
0.009 0.8442
0.1036
1.1436 0.2870
5
0.0883 |
|
|
0.000
0.0879
0.0595
1.1590 0.0221
6
0.377 |
|
|
0.001
0.3758
0.0365
1.1183 0.0732
7
0.236 |
|
|
0.000
0.2352
0.0234
1.1116 0.0364
8
-1.910 |
***|
|
0.220
-1.9351
0.3516 1.2200
-1.4251
9
-0.228 |
|
|
0.000
-0.2268
0.0304 1.1200
-0.0401
10
1.600 |
|***
|
0.018
1.6124
0.0595
0.9267 0.4055
11
-2.121 |
****|
|
0.102
-2.1576
0.1694 0.8823
-0.9745
12
0.771 |
|*
|
0.003
0.7699
0.0404
1.0795 0.1579
13
0.433 |
|
|
0.004
0.4313
0.1446
1.2548 0.1774
14
-0.542 |
*|
|
0.002
-0.5398
0.0471 1.1161
-0.1200
15
0.582 |
|*
|
0.002
0.5805
0.0465
1.1109 0.1282
16
0.502 |
|*
|
0.003
0.4998
0.1074
1.1957 0.1734
17
-0.0993 |
|
|
0.000
-0.0988
0.0505 1.1479
-0.0228
18
1.208 |
|**
|
0.006
1.2110
0.0342
0.9946 0.2280
19
0.556 |
|*
|
0.001
0.5546
0.0244
1.0886 0.0878
20
-0.972 |
*| |
0.025
-0.9713
0.1919
1.2436
-0.4733
21
0.433 |
|
|
0.003
0.4311
0.1193
1.2187 0.1587
22
-0.953 |
*|
|
0.007
-0.9530
0.0638 1.0767
-0.2488
23
0.103 |
|
|
0.000
0.1027
0.0483
1.1452 0.0231
24
-0.119 |
|
|
0.000
-0.1184
0.1353 1.2600
-0.0468
25
-0.563 |
*|
| 0.001
-0.5614
0.0339 1.0985
-0.1052
26
-0.910 |
*|
|
0.013
-0.9091
0.1237 1.1584
-0.3415
27
-0.622 |
*|
|
0.002
-0.6205
0.0496 1.1099
-0.1417
28
-0.210 |
|
|
0.000
-0.2090
0.0404 1.1324
-0.0429
29
-0.627 |
*|
|
0.001
-0.6252
0.0316 1.0887
-0.1129
30
0.374 |
|
|
0.001
0.3727 0.0314
1.1127
0.0671
31
-0.512 |
*|
|
0.002
-0.5098
0.0721 1.1493
-0.1421
32
0.496 |
|
|
0.002
0.4946
0.0663
1.1436 0.1318
33
0.968 |
|*
|
0.009
0.9678
0.0769
1.0893 0.2793
34
0.154 |
|
|
0.000
0.1536
0.0655
1.1649 0.0406
Student
Cook's
Hat Diag
Cov
Obs Residual -2-1
0 1
2
D
RStudent
H
Ratio DFFITS
35
2.092 |
|****
|
0.016
2.1277
0.0318
0.7651 0.3859
36
-0.162 |
|
|
0.000
-0.1611
0.0449 1.1395
-0.0349
37
-1.499 |
**|
|
0.008
-1.5084
0.0314 0.9251
-0.2714
38
1.258 |
|**
|
0.008
1.2615
0.0454
0.9955 0.2752
39
0.0197 |
| |
0.000
0.0196
0.0608
1.1615 0.0050
40
-1.497 |
**|
|
0.023
-1.5064
0.0841 0.9789
-0.4564
41
-0.229 |
|
|
0.000
-0.2280
0.0332 1.1232
-0.0423
42
-0.221 |
|
|
0.000
-0.2199
0.0270 1.1164
-0.0366
43
-0.874 |
*|
|
0.011
-0.8731
0.1145 1.1528
-0.3140
44
1.032 |
|**
| 0.004
1.0326
0.0300
1.0251 0.1817
45
1.671 |
|***
|
0.007
1.6853
0.0219
0.8731 0.2521
46
0.0317 |
|
|
0.000
0.0316
0.1957
1.3561 0.0156
47
-0.359 |
|
|
0.007
-0.3573
0.3277 1.6046
-0.2495
48
1.496 |
|**
|
0.044
1.5047
0.1501
1.0554 0.6323
49
-0.461 |
|
|
0.003
-0.4590
0.1033
1.1943 -0.1558
50
0.0807 |
|
|
0.000
0.0803
0.0265
1.1199 0.0132
51
0.364 |
|
|
0.001
0.3623
0.0508
1.1361 0.0838
52
0.171 |
|
|
0.000
0.1706
0.1302
1.2509 0.0660
53
2.914 |
|***** |
0.185
3.0267
0.1635
0.6057 1.3383
54
1.684 |
|***
|
0.070
1.6988
0.1815
1.0393 0.8000
55
-0.149 |
|
|
0.000
-0.1478
0.0353 1.1286
-0.0283
56
-0.489 |
|
|
0.001
-0.4872
0.0361 1.1085
-0.0942
57
0.738 |
|*
|
0.003
0.7366
0.0521
1.0976 0.1726
58
0.217 |
|
|
0.000
0.2159
0.0708
1.1692 0.0596
59
-1.406 |
**|
|
0.011
-1.4128
0.0460 0.9620
-0.3102
60
-0.223 |
|
|
0.000
-0.2220
0.0377 1.1287
-0.0439
61
-0.250 |
|
|
0.000
-0.2489
0.0588 1.1527
-0.0622
62
0.779 |
|*
|
0.013
0.7773
0.1573
1.2281 0.3358
63
1.852 |
|***
|
0.045
1.8744
0.1048
0.9011 0.6414
64
0.395 |
|
|
0.001
0.3931
0.0430
1.1245 0.0833
65
0.866 |
|*
|
0.008
0.8649
0.0865
1.1188 0.2661
66
-0.840 |
*|
|
0.017
-0.8387
0.1781 1.2484
-0.3904
67
0.139 |
|
|
0.000
0.1387
0.0459
1.1414 0.0304
68
-0.440 |
|
|
0.001
-0.4386
0.0479 1.1267
-0.0984
69
0.576 |
|*
|
0.004
0.5737
0.0999
1.1777 0.1912
70
-0.770 |
*|
|
0.003 -0.7684
0.0427
1.0823
-0.1622
71
0.578 |
|*
|
0.001
0.5766
0.0316
1.0942 0.1041
72
-1.160 |
**|
|
0.006
-1.1615
0.0363 1.0069
-0.2255
73
1.083 |
|**
|
0.003
1.0841
0.0223
1.0074 0.1636
74
-1.570 |
***|
|
0.045
-1.5818
0.1419 1.0243
-0.6433
75
-0.448 |
|
|
0.004
-0.4468
0.1444 1.2529
-0.1835
76
1.222 |
|**
|
0.007
1.2251
0.0422
0.9999 0.2571
77
-0.910 |
*|
|
0.003
-0.9096
0.0294 1.0458
-0.1584
78
0.286 |
|
| 0.001
0.2845
0.1001
1.2036 0.0949
79
0.178 |
|
|
0.000
0.1773
0.0205
1.1106 0.0256
80
-0.0326 |
|
|
0.000
-0.0324
0.0707 1.1738
-0.0089
81
-0.916 |
*|
|
0.022
-0.9156
0.1899 1.2517
-0.4432
82
-0.157 |
|
|
0.000
-0.1561
0.0501 1.1460
-0.0359
83
2.155 |
|****
|
0.022
2.1943
0.0408
0.7539 0.4527
84
1.894 |
|***
|
0.025
1.9187
0.0586
0.8448 0.4788
85
-1.846 |
***|
|
0.023
-1.8684
0.0561 0.8562
-0.4555
86
-0.291 |
|
|
0.000
-0.2898
0.0244
1.1100
-0.0459
87
-1.251 |
**|
|
0.027
-1.2545
0.1345 1.0995
-0.4945
88
-0.542 |
*|
|
0.003
-0.5397
0.0755 1.1503
-0.1542
89
0.174 |
|
|
0.000
0.1728
0.0221
1.1126 0.0260
90
0.734 |
|*
|
0.004
0.7326
0.0567
1.1035 0.1796
91
-0.714 |
*|
|
0.002
-0.7122
0.0314 1.0775
-0.1281
92
-1.413 |
**|
|
0.007
-1.4202
0.0293 0.9438
-0.2466
93
-1.683 |
***|
|
0.034
-1.6980
0.0978 0.9432
-0.5592
94
1.825 |
|***
|
0.010
1.8457
0.0270
0.8365 0.3073
95
1.194 |
|**
|
0.007
1.1969
0.0438
1.0074 0.2561
96
-2.389 |
****|
|
0.040
-2.4455
0.0595
0.6979
-0.6149
97
0.156 |
|
|
0.000
0.1551
0.0200
1.1108 0.0222
Student
Cook's
Hat Diag
Cov
Obs Residual -2-1
0 1
2
D
RStudent
H
Ratio DFFITS
98
0.202 |
|
|
0.000
0.2007
0.0562
1.1517 0.0490
99
-0.862 |
*|
|
0.004
-0.8607
0.0414 1.0668
-0.1788
100
1.702 |
|***
|
0.018
1.7176
0.0526
0.8930 0.4046
101
-1.011 |
**|
|
0.005
-1.0113
0.0405 1.0402
-0.2078
102
-0.0413 |
|
|
0.000
-0.0411
0.0834 1.1899
-0.0124
103
-0.912 |
*|
|
0.007
-0.9111
0.0677 1.0886
-0.2456
104
0.453 |
|
|
0.005
0.4514
0.1917
1.3258 0.2198
105
0.609 |
|*
|
0.002
0.6072
0.0405
1.1009 0.1247
106
-0.466 |
|
|
0.003
-0.4642
0.1212 1.2182
-0.1724
107
-1.085 |
**|
|
0.009
-1.0857
0.0664 1.0546
-0.2894
108
-0.575 |
*|
|
0.002
-0.5734
0.0563 1.1233
-0.1401
109
0.267 |
|
|
0.001
0.2656
0.1219
1.2346 0.0989
110
0.975 |
|*
|
0.016
0.9744
0.1299
1.1544 0.3765
111
0.347 |
|
|
0.002
0.3455
0.1133
1.2175 0.1235
112
-1.312 |
**|
|
0.144
-1.3169
0.4289 1.6437
-1.1413
113
-1.331 |
**|
|
0.011
-1.3358
0.0535 0.9875
-0.3177
Output
Statistics
-----------------------------------------DFBETAS-----------------------------------------
Obs Intercept LtofStay
Age CulRatio
XRay
NoBeds Census Nurses
Services
1 -0.0058
-0.0612 0.0559 0.0266
-0.1222 -0.0569
0.0265
0.0288 0.1141
2 0.0761
-0.0766 -0.1232
0.0709
0.2390 0.0296 0.0403
-0.0008 -0.1732
3 0.0069
0.0335 -0.0493
0.0042
-0.0077 0.0030 -0.0216
0.0072 0.0805
4 -0.0561
0.0045 0.0018 -0.0587
0.1880 0.1264 -0.1664
0.0799 -0.0095
5 -0.0091
0.0040 0.0085 0.0160
-0.0056 0.0005 -0.0026
0.0027 -0.0013
6 0.0125
-0.0207 -0.0104
0.0155
0.0235 -0.0449
0.0472
-0.0174 0.0131
7 -0.0188
-0.0080 0.0253 0.0121
-0.0046 -0.0111
0.0114
-0.0032 0.0024
8 -0.1053
-0.1015 0.1415 -0.9392
0.3270 -0.8654
0.6518
0.2810 0.2112
9 -0.0192
0.0116 0.0167 -0.0147
-0.0081 -0.0012
-0.0016
0.0103 -0.0031
10 -0.1378
-0.1386 0.1959 0.3054
-0.0665 -0.0708
0.0629
-0.0804 0.1133
11 0.2254
0.1898 -0.1289
-0.0027
-0.4323 0.0365 0.0364
-0.4860 0.0604
12 -0.0475
-0.0578 0.0625 -0.0322
0.0529 0.0372 -0.0108
-0.0781 0.0360
13 -0.0830
0.0291 0.0532
0.0905
0.0106 -0.0190
-0.0206
0.0836 0.0066
14 0.0421
0.0780 -0.0694
-0.0554
-0.0266 0.0145 -0.0170
0.0162 -0.0171
15 -0.0060
-0.0157 0.0436 0.0264
-0.0069 -0.0095
0.0233
-0.0018 -0.0881
16 0.0378
0.0664 -0.0433
-0.0126
-0.0781 -0.0614
0.0042
0.1298 0.0062
17 -0.0075
0.0102 0.0062 -0.0075
-0.0097 0.0047 -0.0061
0.0063 -0.0029
18 -0.0471
0.1035 -0.0023
0.0563
0.0216 -0.0255
-0.0039
0.0125 -0.0043
19 0.0245
0.0215 -0.0224
-0.0516
-0.0028 -0.0176
-0.0060
0.0371 0.0050
20 0.0534
0.0356 -0.0380
0.0173
-0.0388 -0.3537
0.2797
0.0235 0.0248
21 0.1068
-0.0193 -0.0934
0.0078
0.0497 0.0380 -0.0213
-0.0101 -0.0770
22 -0.0303
0.0401 0.0368 -0.1306
-0.0895 0.0489 -0.0489
-0.0171 0.0556
23 -0.0009
-0.0082 -0.0002
-0.0003
0.0076 -0.0145
0.0140
-0.0044 0.0141
24 0.0217
0.0127 -0.0285
0.0007
-0.0055 0.0043 -0.0040
-0.0216 0.0151
25 -0.0112
0.0245 0.0006 -0.0190
0.0341 0.0542 -0.0409
-0.0057 -0.0653
26
-0.0449 0.1400
0.0381
0.1104 -0.2315
-0.0002
-0.0141 -0.0985
0.0727
27 -0.0549
0.0042 0.0594 -0.0453
-0.0351 0.0059 0.0129
-0.0441 0.0269
28 -0.0161
0.0162 0.0010 -0.0062
0.0164 0.0189
-0.0255 0.0175 -0.0044
29 0.0164
-0.0407 -0.0045
0.0091
-0.0246 0.0312 -0.0253
-0.0300 0.0483
30 0.0141
0.0122 -0.0276
-0.0165
0.0394 0.0193 -0.0206
-0.0035 -0.0058
31 -0.0155
-0.0331
0.0450
0.0382 -0.0336
0.0589
-0.0118 -0.0946
-0.0276
32 0.0032
0.0012 0.0005 0.0074
-0.0390 -0.0962
0.0559
0.0561 0.0612
33 0.0281
0.1903 -0.0286
0.0210
-0.1998 -0.0125
-0.0381
0.0993 -0.0653
34 -0.0115
0.0199 -0.0042
-0.0014
0.0110 0.0012 -0.0001
-0.0122 0.0118
35 -0.0467
0.0587 0.0057 -0.0964
-0.0679 -0.0897
-0.0014
0.0342 0.2901
36 0.0167
0.0027 -0.0093
-0.0038
-0.0152 -0.0102
0.0083
0.0131 -0.0171
37 0.1246
-0.0244 -0.1473
-0.0797
0.0713 0.0215 -0.0171
0.0615 -0.0299
38 0.1382
-0.0589 -0.1253
-0.1272
0.1091 -0.0757
0.0589
-0.0235 0.0552
39 0.0004
0.0019 -0.0012
-0.0023
-0.0014 -0.0016
0.0004
0.0005 0.0032
40 0.0886
0.0540 -0.2360
0.0265
0.0833 -0.0289
-0.0192
0.0048 0.2557
41 -0.0138
0.0195 0.0069 0.0092
-0.0231 0.0178 -0.0214
0.0037 0.0072
42 0.0052
-0.0142 -0.0005
-0.0080
-0.0024 0.0037 0.0039
-0.0105 0.0054
43 -0.1827
-0.2113 0.2495
0.1618
0.0297 -0.0613
0.0909
0.0005 -0.0031
44 0.0376
-0.0317 -0.0249
-0.0133
-0.0102 -0.1203
0.1211
0.0004 0.0513
45 0.1139
-0.0952 -0.0655
-0.0032
0.0632 -0.1020
0.0990
-0.0199 0.0005
46 -0.0000
0.0032 0.0002 -0.0030
-0.0045 0.0072 -0.0080
0.0071 -0.0027
47 0.0775
-0.2186 0.0207
0.0722
0.0080 -0.0257
0.0549
-0.0182 -0.0122
48 -0.0879
-0.0938 0.1457 0.0508
-0.0089 0.2387 0.0424
-0.4695 -0.0988
49 -0.0758
0.0048 0.0186
0.0097 0.0676 0.0099
-0.0307 0.0083 0.0943
50 0.0030
-0.0051 -0.0026
-0.0051
0.0056 -0.0026
0.0038
-0.0033 0.0051
51 -0.0375
0.0325 0.0270 0.0075
-0.0226 -0.0246
-0.0032
0.0478 0.0183
52 0.0091
0.0136 -0.0082
-0.0032
-0.0345 0.0358 -0.0373
0.0083 0.0114
53 -0.6207
0.2045 0.4722 -0.0177
0.2607 1.0981 -0.8620
-0.2284 -0.3190
54 0.2203
0.1940 -0.2962
0.4956
-0.0829 0.1343 -0.0902
-0.1464 -0.1429
-----------------------------------------DFBETAS-----------------------------------------
Obs
Intercept LtofStay
Age
CulRatio XRay
NoBeds
Census Nurses Services
55
-0.0062 -0.0084
0.0017
0.0031 0.0174 -0.0049
0.0084 -0.0010
-0.0009
56 0.0240
-0.0544 -0.0066
0.0442
0.0249 -0.0014
0.0198
-0.0184 -0.0328
57 -0.0514
-0.0838 0.0946 -0.0365
0.0393 -0.0069
0.0139
-0.0237 0.0078
58 0.0320
-0.0187 -0.0191
0.0022
-0.0127 -0.0308
0.0209
0.0271 0.0059
59 -0.0487
0.0437 0.0561 0.0392
-0.1383 0.1161 -0.1259
-0.0869 0.0841
60 0.0153
-0.0179 -0.0099
0.0077
-0.0130 -0.0037
0.0049
-0.0082 *0.0218
61 0.0107
-0.0373 -0.0104
0.0096
0.0332 -0.0224
0.0297
-0.0072 0.0075
62 0.0550
-0.0682 -0.0040
0.0715
-0.1211 -0.2090
0.2535 -0.0688
0.0645
63 -0.3925
-0.2981 0.4899 -0.0237
0.2989 -0.0489
0.0799
-0.0238 -0.0754
64 0.0157
0.0206 -0.0239
-0.0450
0.0398 -0.0074
-0.0083
0.0331 -0.0241
65 0.1549
-0.1426 -0.0766
0.0682
-0.0071 -0.0452
0.1068
-0.0342 -0.0722
66 -0.0697
0.0201 -0.0017
-0.0725
0.1108 0.1225 -0.0574
-0.2884 0.1584
67 0.0103
0.0116 -0.0179
-0.0215
0.0102 0.0051 -0.0105
0.0080 0.0055
68 0.0139
0.0563 -0.0236
0.0348
-0.0626 0.0346 -0.0423
0.0045 -0.0112
69 0.0249
-0.0807 0.0007 -0.0311
0.0651 -0.0185
0.0955
-0.1185 -0.0247
70 0.0135
0.0913 -0.0591
-0.1009
-0.0243 0.0068 -0.0308
0.0431 0.0388
71 0.0359
-0.0446 -0.0148
-0.0038
0.0425 0.0011 -0.0039
0.0078 -0.0230
72 -0.0969
0.0703 0.0038 -0.0516
0.1074 0.0058 -0.0101
0.0154 0.0327
73 0.0621
-0.0069 -0.0339
0.0210
-0.0879 -0.0494
0.0580
-0.0351 0.0472
74 0.0967
0.0624 -0.0356
-0.3241
0.1210 0.1577 -0.0777
0.1176 -0.5043
75 -0.1361
-0.0348 0.1609 0.0596
-0.0174 -0.0545
0.0570
0.0279 -0.0424
76 0.1545
-0.1276 -0.0831
-0.0148
0.0619 -0.0504
0.0442
0.0238 -0.0454
77 -0.0854
-0.0215 0.0852 0.0484
-0.0363 0.0078
0.0052
0.0017 0.0168
78 0.0021
-0.0335 0.0085
-0.0098 0.0128
0.0026
0.0291 -0.0316
-0.0075
79 -0.0085
-0.0049 0.0107 0.0011
-0.0027 0.0014 -0.0051
0.0038 0.0108
80 0.0055
0.0010 -0.0053
-0.0053
0.0006 -0.0017
0.0009
0.0037 -0.0027
81 -0.2071
-0.1869 0.2802
0.1750
0.1152 -0.1756
0.1463
0.1520 -0.1607
82 -0.0129
0.0104 0.0138 0.0187
-0.0190 0.0006 -0.0016
0.0081 -0.0125
83 0.1055
-0.0486 -0.0444
0.0137
-0.1684 0.1873 -0.1900
-0.1034 0.1805
84 0.1158
0.1691 -0.0180
-0.0757
-0.2955 0.1548 -0.1765
0.0827 -0.1886
85 0.0695
0.0543 -0.1328
0.0009
0.1940 0.0829 -0.0256
0.0626 -0.2835
86 -0.0090
0.0015 0.0095 -0.0141
0.0073 -0.0132
0.0127
0.0165 -0.0207
87 0.0046
0.2707 -0.0545
-0.0431
-0.0866 -0.0695
-0.0979
0.3829 -0.2057
88 0.0374
-0.0351 0.0029 0.0300
-0.0115 -0.0796
0.0849
0.0365 -0.0977
89 -0.0056
-0.0033 0.0043
0.0013
0.0058 -0.0089
0.0019
0.0080 0.0111
90 0.0514
0.0464 -0.0374
0.0414
-0.0704 -0.0506
0.0443
0.0684 -0.0759
91 -0.0513
-0.0125 0.0451 0.0538
-0.0453 -0.0270
0.0229
0.0025 0.0554
92 0.0022
-0.0436 -0.0423
0.0840
0.0185 -0.0513
0.0589
-0.0273 0.1045
93 -0.1305
-0.0707 0.0437 0.1990
-0.0926 -0.0852
0.0366
-0.0563 0.4469
94 0.0024
-0.0627 0.0760 -0.0029
0.0425 0.0715 -0.0670
0.0353 -0.1565
95 0.1035
0.0670 -0.0960
-0.0556
0.0463 -0.0088
-0.0209
0.1226 -0.1684
96 0.2140
0.2021 -0.2662
-0.3811
0.0772 0.0462 -0.0090
0.1246 -0.3010
97 0.0063
0.0001 -0.0039
-0.0112
-0.0038 0.0008 -0.0033
0.0034 0.0058
98 0.0010
0.0195 -0.0135
-0.0199
0.0142 0.0099 -0.0011
-0.0256 0.0051
99 -0.0738
0.0236 0.0356
0.0422
0.0768 0.0446 -0.0416
0.0409 -0.0754
100 0.0752
-0.0524 -0.0076
0.0739
-0.1939 -0.0467
0.1145
-0.0558 0.0346
101 -0.0512
-0.0964 0.0521 0.1041
-0.0070 -0.0140
0.0429
-0.0635 0.0944
102 -0.0061
-0.0023 0.0089 0.0064
-0.0065 -0.0011
0.0014
0.0013 -0.0018
103 0.0612
0.1326 -0.1215
-0.0262
-0.1112 -0.0508
0.0166
0.0231 0.1012
104 -0.1648
0.0003 0.1142 -0.0262
0.1142 -0.0288
0.0459
-0.0652 0.0682
105 0.0371
0.0358 -0.0184
-0.0213
-0.0699 -0.0147
-0.0130
0.0793 -0.0274
106 0.0663
-0.0789 -0.0728
0.0343
0.0573 -0.0652
0.0726
-0.0264 0.0622
107 -0.1435
0.0716 0.0273
0.0018
0.1223 0.0182 -0.0757
0.1015 0.0813
108 -0.0320
-0.0225 -0.0069
0.0165
0.0787 -0.0410
0.0378
0.0026 0.0473
109 -0.0139
0.0179 -0.0082
-0.0563
0.0552 0.0065 -0.0178
0.0502 -0.0138
110 0.0786
-0.0077 -0.0134
0.3086
-0.1571 0.0268 0.0073
-0.0647 -0.1149
111 -0.0304
-0.0282 0.0330 0.0056
-0.0213 -0.0310
0.0054
0.0020 0.1027
112 0.1180
-0.1095 -0.0938
-0.1728
0.0725 0.3803 -0.6959
0.4691 0.1899
113 0.1581
0.0586 -0.2054
-0.1201
-0.0508 0.0215 -0.0283
0.0088 0.1050
Sum
of
Residuals
0
Sum of
Squared
Residuals
95.63982
Predicted
Residual SS (PRESS) 117.92422
SENIC
database from NKNW 1996 (Appendix C)
Full
Model with diagnostics
The
REG Procedure
Model:
MODEL1
Partial
Regression Residual Plot
-+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+-
InfRisk
|
|
|
|
|
|
3
+
+
|
|
|
1
|
|
|
|
|
2
+
1
1
+
|
1
1
1
|
|
1
1
1
|
|
1
1
|
|
1
1
|
1
+
1 1 1
1
+
|
12
1
1
|
|
1
11 1
31
1
|
|
1
1
1
1 121
1
|
|
1 1 1 2 1 1 2
1
1
1
1
|
0 +
11
1
1 1 1
1
+
|
1
1 1
1 1
1 1 22
1
|
|
1
11
1 1
1
|
|
1 1 1
1
1
1
1 |
|
1
1 1
1
111
|
-1
+
1
1 1
1
1
11
+
|
1
1
1
|
|
1 2
1
1
|
|
11
1
1
|
|
1
|
-2
+
+
|
1
|
|
|
|
|
|
|
-3
+
+
|
|
|
|
-+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+-
-0.30
-0.25 -0.20
-0.15
-0.10 -0.05
0.00
0.05 0.10
0.15
0.20 0.25
Intercept
------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+------
InfRisk
|
|
|
|
|
|
3
+
+
|
1
|
|
|
|
|
|
|
2
+
1 1
1
+
|
1
|
|
11
|
|
1
1
1
1
|
|
1
1
1
|
1
+
1 1
1
1 +
|
1
1 1
11
1
|
|
1
1 1
1
|
|
1 1
12 1 2
1 1 111 1
1
|
|
1 1
1 1111 1
1
2
1
|
0
+
1 11
1
21 1
1
+
|
1 11
1
1
1
|
|
2 11 1 1 1
1 3
1
|
|
1 1 1
1
|
|
1
1
11 1
1
1
|
-1
+
1
11
+
|
2
11
1
|
|
121 1
11
|
|
1
1
|
|
1
|
-2
+
1
+
|
|
|
1
|
|
|
|
|
-3 +
+
|
|
|
|
------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+------
-3.0 -2.5 -2.0 -1.5 -1.0 -0.5 0.0
0.5 1.0 1.5
2.0 2.5 3.0
3.5 4.0 4.5
5.0 5.5 6.0
6.5 7.0
LtofStay
-------+------+------+------+------+------+------+------+------+------+------+------+------+------+------+-------
InfRisk
|
|
|
|
|
|
3
+
+
|
|
|
1
|
|
|
|
|
2
+
1
1
+
|
1
1
1
|
|
1
1
1
|
|
1
1
|
|
1 1
1
|
1
+
1
11
+
|
1 1
1 1
1
1
|
|
1 2
11
11
1
|
|
11 1 1 1
1
1
1
1
|
|
1
1 1 1 3
2 1
1
1
|
0
+
1
1 1
11
1
1
+
|
1
1 1 1 2
111
111
|
|
11 1
1
1 1
1
|
|
1
11
1111
1
|
|
1 2
1
1
1
|
-1
+
11
1 1 1 1
1 1
1
+
|
2
|
|
1
11
1
|
|
1
1
2
|
|
1
|
-2
+
+
|
1
|
|
|
|
|
|
|
-3
+
+
|
|
|
|
-------+------+------+------+------+------+------+------+------+------+------+------+------+------+------+-------
-16 -14
-12 -10
-8
-6 -4
-2
0 2
4
6 8
10
12
Age
SENIC
database from NKNW 1996 (Appendix C)
Full
Model with diagnostics
The
REG Procedure
Model:
MODEL1
Partial
Regression Residual Plot
-+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+-
3
+
+
|
|
|
|
|
1
1
|
|
|
|
1
|
|
1
|
2
+
1
+
|
1
|
|
1
1
|
InfRisk
|
1 1
1
|
|
1
|
|
1
|
|
1 1
1
1
|
1
+
1
1
1
+
|
1
1
1
|
|
1
11
|
|
1 1
1
1
1
|
|
1 1
1 21
1
|
|
1 1
1
1
|
|
1
11 1
111
2
1|
0
+
1
1
1
+
|
1
1 1
1 1
1 1
1
|
|
1 1 1
1
1
1
|
|
1
2
1
1
|
|
1 1
1
1
1
1
1
|
|
1
111 1 1 1
1
|
|
1
1
1
1
1
|
-1 +
1
1 1
1 1
+
|
1
1
|
|
1
|
|
1
1
1
|
|
2
1
1
|
|
1
|
|
1
1
|
-2
+
1
+
-+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+-
-20
-15
-10
-5
0
5
10
15
20
25
30 35
CulRatio
--------+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+--------
InfRisk
|
|
|
|
|
|
3
+
+
|
1
|
|
|
|
|
|
|
2
+
1
1
+
|
1
1
|
|
1
|
|
1
1
11
1
1
|
|
1 1
1
1
|
1
+
1
+
|
1
1
1
1
1
1
|
|
1
11
1
111
1
|
|
1
1
1
1
1 1
11
|
|
1
1
1
11
11
1
13 1
1
1
|
0
+
11
11
1 1
1
1
+
|
1
1
1
1
1
1
|
|
1 1
11
1
1 1
11
1
|
|
1 1
1
1
1 11
1 1
1
|
|
11
1
2
|
-1
+
11 1
1
1
1
+
|
1
1
1
1
|
|
1
1
1
1
|
|
1
1
|
|
1
|
-2
+
1
1
+
|
1
|
|
|
|
|
|
|
-3
+
+
|
|
|
|
--------+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+--------
-35 -30
-25 -20
-15
-10 -5
0
5 10
15
20 25
30
35 40
45
XRay
-+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-
InfRisk
|
|
|
|
|
|
3
+
+
|
|
|
|
|
1
|
|
|
2
+
1
1
+
|
1
1
|
|
1
1
11
|
|
1
|
|
1 1
1
1
1
|
1
+
1
1
+
|
1
1 1
1 1
1
|
|
1
1
1 11111
1
1
|
|
1 1
1
1 1
1
1
1
|
|
2
11 31
1 1
1
|
0
+
1 1 2
1 1
1
11
+
|
1 1
1 1 1 1 1 1
1
1
|
|
1 1
1 11
1
1
1
1
|
|
1
1 11
1
1
1
|
|
1
2
111 1
1
1
|
-1
+
1
1
1
1 +
|
1
1
1
|
|
1
1 1
1
|
|
1
1
1
1 |
|
1
|
-2
+
+
|
1
|
|
|
|
|
|
|
-3
+
+
|
|
|
|
-+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-
-90
-80 -70 -60
-50 -40 -30
-20 -10 0 10 20
30 40
50 60
70
80 90
100
110 120 130
NoBeds
SENIC
database from NKNW 1996 (Appendix C)
Full
Model with diagnostics
The
REG Procedure
Model:
MODEL1
Partial
Regression Residual Plot
--------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---------
InfRisk
|
|
|
|
|
|
3 +
+
|
|
|
1
|
|
|
|
|
2
+
1
1
+
|
1 1
|
|
1
11
|
|
1
11
|
|
1
1
11
|
1
+
1 1
+
|
1
1 1
1
1
1
|
|
1
2 1 2
1
1
|
|
1 2 1 1 11
1 1
1
|
|
1
11 11 11 1
1 2
1
|
0
+
1
12 11 1
1
+
|
1 111
11 2
1
1
|
|
1 11
1 1
1
1
|
|
1
1
11 111
1
|
|
1
1
1
11 1 1
2
1
1 |
-1
+
1 1
1
+
|
1
1
1
|
|
1 2
1
|
|
1
2
|
|
1
1
|
-2
+
+
|
1
|
|
|
|
|
|
|
-3
+
+
|
|
|
|
--------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---------
-80 -70
-60 -50 -40
-30 -20 -10
0 10
20
30 40
50
60 70
80
90 100 110
Census
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----
InfRisk
|
|
|
|
|
|
3
+
+
|
|
|
|
|
1
|
|
|
2
+
1
1
+
|
1
1
|
|
1
2
|
|
1
1
|
|
1
11
1
|
1 +
1
1
1
1
+
|
1
1
2
1
1
|
|
1 1
1 1 1
1
1
1
1
|
|
1
1 1 1
1
1 11
1
|
|
1
1
1 111 2
1
1
|
0
+
1
1
2 1
1
1
+
|
1 2
1
11 1
1
1111
1
|
|
2
11
1
1
1 |
|
1 1
12 1
1
1
|
|
11
2 2 1
1
1
|
-1
+
1
1
+
|
1
11
1
|
|
1
1 1
1
1
1
|
|
1
1
1
|
|
1
|
-2
+
+
|
1
|
|
|
|
|
|
|
-3
+
+
|
|
|
|
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----
-160
-140 -120 -100
-80 -60
-40
-20 0
20
40 60
80
100 120
140
160 180
Nurses
-+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+-
3
+
+
|
|
|
|
|
|
|
1
|
|
|
|
1
1
|
2
+
+
|
|
|
|
InfRisk
|
1
1
1
1 1
1
|
|
|
|
1
1
1
|
|
1 1
1
|
1
+
1
+
|
1
1
1
1
1
|
|
1
1
1
1
1
1 |
|
1
1
1
1
|
|
11 11 1
1
|
|
1
1 1 1
1 2
12 1
1
1
|
|
1
1
2 1
1
|
0
+
1 1
1
1
1
+
|
1
11 1
1
|
|
1
12
1
1
1
1
|
|
1
11 1
1
|
|
1
1
|
|
1
1
11
1
1
1
|
|
1 1
11
1
|
-1
+
1
1
1
1
1 +
|
1 1
1
1
|
|
|
|
2
1
1
1
1
|
|
1
1
|
|
|
|
1
1
|
-2
+
1
+
-+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+-
-25
-20
-15
-10 -5
0
5
10
15
20
25 30
Services
SENIC
database from NKNW 1996 (Appendix C)
Full
Model with diagnostics
The
REG Procedure
Model:
MODEL1
Dependent
Variable: InfRisk
----------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+----------
RESIDUAL
|
|
|
|
3
+
+
|
|
|
|
|
1
|
|
|
|
|
|
|
2
+
1
1
+
|
|
|
1
1
1
|
|
1
1
|
|
1
1
|
|
1
|
|
11
1
1
|
1
+
1
1
+
|
1 1
1
|
|
1
1
1 1
1
|
R
|
1 21
11
|
e
|
1 1
1
1
1
1
|
s
|
1 1
11 1
1
1
|
i
|
1
3 2
2
1
1
1
|
d
0
+
1 1
1
1
+
u
|
1
1
1
1 1 11
1
|
a
|
1 1
1
1
1
|
l
|
1
1 1
1 1
1
1
|
|
1
1
1 1
11
|
|
1
1
1
|
|
1 1
111
1
1
1
|
-1
+
1
1
1
+
|
1
1
|
|
1
1
1
|
|
1
1
1
1
|
|
1
1
|
|
1
|
|
1
|
-2
+
+
|
|
|
1
|
|
|
|
|
|
|
|
|
-3
+
+
|
|
----------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+----------
2.0 2.5
3.0 3.5
4.0
4.5 5.0
5.5
6.0 6.5
7.0
7.5
Predicted Value of InfRisk
PRED
SENIC
database from NKNW 1996 (Appendix C)
Full
Model with diagnostics
Plot of e*YHat. Legend: A = 1
obs, B = 2 obs, etc.
3
+
|
|
|
A
|
|
2
+
A
A
|
A
|
A
A
A
A
|
A
A
|
A
|
AA
A
A
1
+
A
A
|
A A
A A
R
|
A
A
A
A A
e
|
BA
AA
A A
s
|
A AA
A A A
A
A
A
i
|
A
AA AA A AA
A
A
A
d 0
+-----------------------------------------------AA---A-----A-----------A----------A-----------------------------------------
u
|
A A
B
A
A A
A B
A
a
|
A A
A
A
l
|
A
A
AA
A A
A A
A
A
|
A
A
AA
|
A
A
A
B
A
A
A
-1
+
A
A
A
|
A
A
A
|
A
A
A
A
A
|
A
A
|
A
A
|
A
-2 +
|
A
|
|
|
|
-3 +
|
--+----------+----------+----------+----------+----------+----------+----------+----------+----------+----------+----------
2.0
2.5
3.0
3.5
4.0
4.5
5.0
5.5
6.0
6.5
7.0
Predicted
Value of InfRisk
153
proc univariate data=next1 normal plot;
var e;
154
TITLE3 'Full model residual
analysis';
155
run;
NOTE:
The PROCEDURE UNIVARIATE printed page 30.
NOTE:
PROCEDURE UNIVARIATE used:
real time
0.04 seconds
cpu
time
0.01 seconds
SENIC
database from NKNW 1996 (Appendix C)
Full
Model with diagnostics
Full
model residual analysis
The
UNIVARIATE Procedure
Variable:
e (Residual)
Moments
N
113 Sum
Weights
113
Mean
0 Sum
Observations
0
Std
Deviation 0.92408169
Variance
0.85392696
Skewness
0.19655938
Kurtosis
-0.0822943
Uncorrected
SS 95.6398199 Corrected
SS
95.6398199
Coeff
Variation
. Std Error Mean
0.08693029
Basic Statistical Measures
Location
Variability
Mean
0.000000 Std
Deviation
0.92408
Median
0.018329
Variance
0.85393
Mode
.
Range
4.77796
Interquartile Range 1.13707
Tests for Location: Mu0=0
Test
-Statistic- -----p
Value------
Student's
t t
0
Pr > |t| 1.0000
Sign
M 0.5
Pr >= |M| 1.0000
Signed
Rank S
-68.5
Pr >= |S| 0.8454
Tests for Normality
Test
--Statistic---
-----p Value------
Shapiro-Wilk
W
0.993988 Pr < W
0.9091
Kolmogorov-Smirnov
D
0.044211 Pr > D >0.1500
Cramer-von
Mises W-Sq
0.026903
Pr > W-Sq >0.2500
Anderson-Darling
A-Sq
0.198655 Pr > A-Sq >0.2500
Quantiles
(Definition 5)
Quantile
Estimate
100%
Max 2.556167
99%
2.024051
95%
1.680463
90%
1.178595
75%
Q3 0.545301
50%
Median 0.018329
25%
Q1 -0.591769
10%
-1.241553
5%
-1.474932
1%
-1.853377
0%
Min -2.221798
Extreme Observations
------Lowest-----
-----Highest-----
Value
Obs
Value Obs
-2.22180
96
1.72608 94
-1.85338
11
1.76267 84
-1.72024
85
1.97442 35
-1.62945
2
2.02405 83
-1.53276
93
2.55617 53
Stem
Leaf
#
Boxplot
Normal Probability Plot
24
6
1
0
2.5+
*
22
|
++
20
2
1 |
|
*+
18
7
1
|
|
*+
16
836
3
|
|
**+*
14
6989
4
|
|
***+
12
2
1
|
|
*++
10
32458
5
|
|
***
8
797
3
|
|
+**
6
0899279
7
|
|
+**
4
5623557
7 +-----+
|
+***
2
024614567899
12
|
|
|
***
0
238803455679
12
*--+--*
0.1+
***
-0
5541943
7 |
|
|
***
-2
88322110
8 |
|
|
***
-4
9864310762210
13
+-----+
|
****
-6
99327
5
|
|
**
-8
55864421
8
|
|
****
-10
291
3
|
|
**
-12
7424
4
|
|
***
-14
3720
4 |
|
**
-16
23
2
|
| **+
-18
5
1
|
|
*++
-20
|
|
++
-22
2
1 |
-2.3+*+
----+----+----+----+
+----+----+----+----+----+----+----+----+----+----+
Multiply Stem.Leaf by
10**-1
-2
-1
0
+1 +2
157
proc reg data=SENIC;
158
TITLE2 'Stepwise regression -
backward selection';
159
model InfRisk = LtofStay Age
CulRatio XRay NoBeds Census Nurses Services
160
/ selection=backward;
161
Run;
NOTE:
113 observations read.
NOTE:
113 observations used in computations.
162
NOTE:
The PROCEDURE REG printed page 31.
NOTE:
PROCEDURE REG used:
real time
0.10 seconds
cpu
time
0.07 seconds
SENIC
database from NKNW 1996 (Appendix C)
Stepwise
regression - backward selection
The
REG Procedure
Model:
MODEL1
Dependent
Variable: InfRisk
Backward
Elimination: Step 0
All
Variables Entered: R-Square = 0.5251 and C(p) = 9.0000
Analysis of
Variance
Sum of
Mean
Source
DF
Squares
Square F Value
Pr > F
Model
8
105.74000
13.21750 14.37
<.0001
Error
104
95.63982 0.91961
Corrected
Total
112 201.37982
Parameter Standard
Variable
Estimate
Error
Type II SS F Value
Pr > F
Intercept
-0.74726
1.20763 0.35211
0.38
0.5374
LtofStay
0.17693
0.06906
6.03648 6.56
0.0118
Age
0.01621
0.02226 0.48809
0.53
0.4679
CulRatio
0.04699 0.01075
17.57678
19.11 <.0001
XRay
0.01204
0.00549 4.42782
4.81
0.0304
NoBeds
-0.00145
0.00271 0.26220
0.29
0.5945
Census
0.00072796
0.00347 0.04044
0.04
0.8343
Nurses
0.00191
0.00175 1.08719
1.18
0.2794
Services
0.01628
0.01019
2.34765 2.55
0.1131
Bounds
on condition number: 34.702, 674.59
Backward
Elimination: Step 1
Variable
Census Removed: R-Square = 0.5249 and C(p) = 7.0440
Analysis of
Variance
Sum of
Mean
Source
DF
Squares
Square F Value
Pr > F
Model
7
105.69957
15.09994 16.57
<.0001
Error
105
95.68026 0.91124
Corrected
Total
112 201.37982
Parameter Standard
Variable
Estimate
Error Type II SS
F Value Pr > F
Intercept
-0.76082
1.20039 0.36606
0.40
0.5276
LtofStay
0.18363
0.06095
8.27183 9.08
0.0032
Age
0.01557
0.02195 0.45899
0.50
0.4795
CulRatio
0.04665 0.01057
17.73508
19.46 <.0001
XRay
0.01196
0.00545 4.39134
4.82
0.0303
NoBeds
-0.00094901
0.00130 0.48680
0.53
0.4665
Nurses
0.00199
0.00170 1.24827
1.37
0.2445
Services
0.01614
0.01012
2.31695 2.54
0.1138
Bounds
on condition number: 7.7057, 162.09
Backward
Elimination: Step 2
Variable
Age Removed: R-Square = 0.5226 and C(p) = 5.5431
Analysis of
Variance
Sum
of
Mean
Source
DF
Squares
Square F Value
Pr > F
Model
6
105.24057
17.54010 19.34
<.0001
Error
106
96.13925 0.90697
Corrected
Total
112 201.37982
Parameter Standard
Variable
Estimate
Error
Type II SS F Value
Pr > F
Intercept
-0.01195
0.57099
0.00039725 0.00 0.9833
LtofStay
0.19699 0.05783
10.52453
11.60 0.0009
CulRatio
0.04448 0.01010
17.59563
19.40 <.0001
XRay
0.01189
0.00543 4.33823
4.78
0.0309
NoBeds
-0.00103
0.00129 0.57917
0.64
0.4260
Nurses
0.00200
0.00170 1.26422
1.39
0.2404
Services
0.01637
0.01009
2.38761 2.63
0.1077
Bounds
on condition number: 7.6446, 129.79
Backward
Elimination: Step 3
Variable
NoBeds Removed: R-Square = 0.5197 and C(p) = 4.1729
Analysis of
Variance
Sum of
Mean
Source
DF
Squares
Square F Value
Pr > F
Model
5
104.66141
20.93228 23.16
<.0001
Error
107
96.71842 0.90391
Corrected
Total
112 201.37982
Parameter Standard
Variable
Estimate
Error
Type II SS F Value
Pr > F
Intercept
0.08173
0.55788 0.01940
0.02
0.8838
LtofStay
0.18315
0.05508
9.99423
11.06 0.0012
CulRatio
0.04567 0.00997
18.96154
20.98 <.0001
XRay
0.01247
0.00538 4.86433
5.38
0.0223
Nurses
0.00093910
0.00105 0.72307
0.80
0.3731
Services
0.01400
0.00963
1.91090 2.11
0.1489
Bounds
on condition number: 2.6532, 46.546
Backward
Elimination: Step 4
Variable
Nurses Removed: R-Square = 0.5161 and C(p) = 2.9592
Analysis of
Variance
Sum
of
Mean
Source
DF
Squares
Square F Value
Pr > F
Model
4
103.93833
25.98458 28.80
<.0001
Error
108
97.44149 0.90224
Corrected
Total
112 201.37982
Parameter Standard
Variable
Estimate
Error
Type II SS F Value
Pr > F
Intercept
-0.06358
0.53321 0.01283
0.01
0.9053
LtofStay
0.18841 0.05471
10.69867
11.86 0.0008
CulRatio
0.04645 0.00992
19.76510
21.91 <.0001
XRay
0.01205
0.00535 4.57751
5.07
0.0263
Services
0.02047
0.00635
9.37912
10.40 0.0017
Bounds
on condition number: 1.3578, 20.506
All
variables left in the model are significant at the 0.1000 level.
Summary
of Backward Elimination
Variable Number
Partial Model
Step
Removed
Vars In
R-Square R-Square
C(p)
F Value Pr > F
1
Census
7
0.0002
0.5249
7.0440 0.04
0.8343
2
Age
6
0.0023
0.5226
5.5431 0.50
0.4795
3
NoBeds
5
0.0029
0.5197
4.1729 0.64
0.4260
4
Nurses
4
0.0036
0.5161
2.9592 0.80
0.3731
163
proc reg data=SENIC;
164
TITLE2 'Stepwise regression -
stepwise selection';
165
model InfRisk = LtofStay Age CulRatio
XRay NoBeds Census Nurses Services
166
/ selection=stepwise;
167
Run;
NOTE:
113 observations read.
NOTE:
113 observations used in computations.
NOTE:
The PROCEDURE REG printed page 32.
NOTE:
PROCEDURE REG used:
real time
0.07 seconds
cpu
time
0.07 seconds
SENIC
database from NKNW 1996 (Appendix C)
Stepwise
regression - stepwise selection
The
REG Procedure
Model:
MODEL1
Dependent
Variable: InfRisk
Stepwise
Selection: Step 1
Variable
CulRatio Entered: R-Square = 0.3127 and C(p) = 41.5161
Analysis of Variance
Sum of
Mean
Source
DF
Squares
Square F Value
Pr > F
Model
1
62.96314
62.96314 50.49
<.0001
Error
111
138.41668 1.24700
Corrected
Total
112 201.37982
Parameter Standard
Variable
Estimate
Error
Type II SS F Value
Pr > F
Intercept
3.19790
0.19377
339.64906 272.37
<.0001
CulRatio
0.07326 0.01031
62.96314
50.49 <.0001
Bounds
on condition number: 1, 1
Stepwise
Selection: Step 2
Variable
LtofStay Entered: R-Square = 0.4504 and C(p) = 13.3525
Analysis of Variance
Sum of
Mean
Source
DF
Squares
Square F Value
Pr > F
Model
2
90.70199
45.35099 45.07
<.0001
Error
110
110.67784 1.00616
Corrected
Total
112 201.37982
Parameter Standard
Variable
Estimate
Error
Type II SS F Value
Pr > F
Intercept
0.80549
0.48776 2.74400
2.73
0.1015
LtofStay
0.27547 0.05246
27.73885
27.57 <.0001
CulRatio
0.05645 0.00980
33.39688
33.19 <.0001
Bounds
on condition number: 1.1195, 4.4779
Stepwise
Selection: Step 3
Variable
Services Entered: R-Square = 0.4934 and C(p) = 5.9368
Analysis of Variance
Sum of
Mean
Source
DF
Squares
Square F Value
Pr > F
Model
3
99.36082
33.12027 35.39
<.0001
Error
109
102.01900 0.93595
Corrected
Total
112 201.37982
Parameter Standard
Variable
Estimate
Error
Type II SS F Value
Pr > F
Intercept
0.49133
0.48164 0.97402
1.04
0.3099
LtofStay
0.22391 0.05337
16.47665
17.60 <.0001
CulRatio
0.05420 0.00948
30.59828
32.69 <.0001
Services
0.01963
0.00645
8.65884 9.25
0.0029
Bounds
on condition number: 1.2451, 10.57
Stepwise
Selection: Step 4
Variable
XRay Entered: R-Square = 0.5161 and C(p) = 2.9592
Analysis of Variance
Sum of
Mean
Source
DF
Squares
Square F Value
Pr > F
Model
4
103.93833
25.98458 28.80
<.0001
Error
108
97.44149 0.90224
Corrected
Total
112 201.37982
Parameter Standard
Variable
Estimate
Error
Type II SS F Value
Pr > F
Intercept
-0.06358
0.53321 0.01283
0.01
0.9053
LtofStay
0.18841 0.05471
10.69867
11.86 0.0008
CulRatio
0.04645 0.00992
19.76510 21.91 <.0001
XRay
0.01205
0.00535 4.57751
5.07
0.0263
Services
0.02047
0.00635
9.37912
10.40 0.0017
Bounds
on condition number: 1.3578, 20.506
All
variables left in the model are significant at the 0.1500 level.
No
other variable met the 0.1500 significance level for entry into the
model.
Summary of
Stepwise Selection
Variable Variable
Number
Partial Model
Step
Entered
Removed
Vars In R-Square
R-Square
C(p) F Value Pr > F
1
CulRatio
1
0.3127 0.3127
41.5161 50.49 <.0001
2
LtofStay
2
0.1377 0.4504
13.3525 27.57 <.0001
3
Services
3
0.0430
0.4934
5.9368 9.25
0.0029
4
XRay
4
0.0227
0.5161
2.9592 5.07
0.0263
169
proc reg data=SENIC;
170
TITLE2
'Multiple regression - RSquare
option';
171
model InfRisk = LtofStay Age
CulRatio XRay NoBeds Census Nurses Services
172
/ selection=rsquare
start=3 stop=6 best=8;
173
Run;
NOTE:
113 observations read.
NOTE:
113 observations used in computations.
NOTE:
The PROCEDURE REG printed page 33.
NOTE:
PROCEDURE REG used:
real time
0.05 seconds
cpu
time
0.05 seconds
SENIC
database from NKNW 1996 (Appendix C)
Multiple
regression - RSquare option
The
REG Procedure
Model:
MODEL1
Dependent
Variable: InfRisk
R-Square
Selection Method
Number
in
Model
R-Square Variables in
Model
3
0.4934 LtofStay
CulRatio
Services
3
0.4852 LtofStay
CulRatio Nurses
3
0.4736 LtofStay
CulRatio NoBeds
3
0.4735 LtofStay
CulRatio Census
3
0.4696 LtofStay
CulRatio XRay
3
0.4630 CulRatio XRay
Services
3
0.4619 CulRatio XRay
Census
3
0.4538 CulRatio XRay
Nurses
-----------------------------------------------------------------------------
4
0.5161 LtofStay
CulRatio XRay
Services
4
0.5102 LtofStay
CulRatio XRay
Nurses
4
0.5000 LtofStay
CulRatio XRay Census
4
0.4997 LtofStay
CulRatio XRay
NoBeds
4
0.4956 LtofStay
CulRatio Nurses
Services
4
0.4956 LtofStay Age
CulRatio
Services
4
0.4935 LtofStay
CulRatio NoBeds
Services
4
0.4934 LtofStay
CulRatio Census
Services
-----------------------------------------------------------------------------
5
0.5197 LtofStay
CulRatio XRay
Nurses Services
5
0.5183 LtofStay Age
CulRatio
XRay Services
5
0.5166 LtofStay
CulRatio XRay
Census Services
5
0.5163 LtofStay
CulRatio XRay
NoBeds Services
5
0.5130 LtofStay Age
CulRatio
XRay Nurses
5
0.5107 LtofStay
CulRatio XRay
NoBeds Nurses
5
0.5106 LtofStay
CulRatio XRay
Census Nurses
5
0.5033 LtofStay Age
CulRatio
XRay Census
-----------------------------------------------------------------------------
6
0.5226 LtofStay
CulRatio XRay
NoBeds Nurses Services
6
0.5225 LtofStay Age
CulRatio
XRay Nurses Services
6
0.5216 LtofStay
CulRatio XRay
Census Nurses Services
6
0.5191 LtofStay Age
CulRatio
XRay Census Services
6
0.5187 LtofStay Age
CulRatio
XRay NoBeds Services
6
0.5169 LtofStay
CulRatio XRay
NoBeds Census Services
6
0.5134 LtofStay Age
CulRatio
XRay NoBeds Nurses
6
0.5132 LtofStay Age
CulRatio
XRay Census Nurses
Modified: August 16, 2004
James P. Geaghan