title 'surgical unit p. 335 multiple regression'.
data list records=1
/1 case 1-2 x1 4-8 x2 10-12 x3 15-17 x4 19-23
y 25-28 logy 30-36.
begin data.
01 6.7 62 81 2.59 200 2.3010
02 5.1 59 66 1.70 101 2.0043
03 7.4 57 83 2.16 204 2.3096
04 6.5 73 41 2.01 101 2.0043
05 7.8 65 115 4.30 509 2.7067
06 5.8 38 72 1.42 80 1.9031
07 5.7 46 63 1.91 80 1.9031
08 3.7 68 81 2.57 127 2.1038
09 6.0 67 93 2.50 202 2.3054
10 3.7 76 94 2.40 203 2.3075
11 6.3 84 83 4.13 329 2.5172
12 6.7 51 43 1.86 65 1.8129
13 5.8 96 114 3.95 830 2.9191
14 5.8 83 88 3.95 330 2.5185
15 7.7 62 67 3.40 168 2.2253
16 7.4 74 68 2.40 217 2.3365
17 6.0 85 28 2.98 87 1.9395
18 3.7 51 41 1.55 34 1.5315
19 7.3 68 74 3.56 215 2.3324
20 5.6 57 87 3.02 172 2.2355
21 5.2 52 76 2.85 109 2.0374
22 3.4 83 53 1.12 136 2.1335
23 6.7 26 68 2.10 70 1.8451
24 5.8 67 86 3.40 220 2.3424
25 6.3 59 100 2.95 276 2.4409
26 5.8 61 73 3.50 144 2.1584
27 5.2 52 86 2.45 181 2.2577
28 11.2 76 90 5.59 574 2.7589
29 5.2 54 56 2.71 72 1.8573
30 5.8 76 59 2.58 178 2.2504
31 3.2 64 65 0.74 71 1.8513
32 8.7 45 23 2.52 58 1.7634
33 5.0 59 73 3.50 116 2.0645
34 5.8 72 93 3.30 295 2.4698
35 5.4 58 70 2.64 115 2.0607
36 5.3 51 99 2.60 184 2.2648
37 2.6 74 86 2.05 118 2.0719
38 4.3 8 119 2.85 120 2.0792
39 4.8 61 76 2.45 151 2.1790
40 5.4 52 88 1.81 148 2.1703
41 5.2 49 72 1.84 95 1.9777
42 3.6 28 99 1.30 75 1.8751
43 8.8 86 88 6.40 483 2.6840
44 6.5 56 77 2.85 153 2.1847
45 3.4 77 93 1.48 191 2.2810
46 6.5 40 84 3.00 123 2.0899
47 4.5 73 106 3.05 311 2.4928
48 4.8 86 101 4.10 398 2.5999
49 5.1 67 77 2.86 158 2.1987
50 3.9 82 103 4.55 310 2.4914
51 6.6 77 46 1.95 124 2.0934
52 6.4 85 40 1.21 125 2.0969
53 6.4 59 85 2.33 198 2.2967
54 8.8 78 72 3.20 313 2.4955
end data.
frequencies gen=x1,x2,x3,x4,y,logy/format=notable/historgram.
variable labels x1 'blood clotting score'/
x2 'prognostic index'/ x3 'enzyme function test'/
x4 'liver function test'/y 'survival time'/
logy 'log(survival time)'.
regression descriptives=mean,stddev,corr,n/
variables=x1,x2,x3,x4,y/
statistics=r,anova,cha,coeff,outs,zpp,ci,tol,label,history/
dependent=y/
method=enter/
residuals=default/
casewise=default/
scatterplot=(y,x1) (y,x2) (y,x3) (y,x4) (*resid,x1) (*resid,x2)
(*resid,x3) (*resid,x4) (*resid,*pred)/
dep=y/forward/
dep=y/backward/
dep=y/stepwise.
regression descriptives=mean,stddev,corr,n/
variables=x1,x2,x3,x4,logy/
statistics=r,anova,cha,coeff,outs,zpp,ci,tol,label,history/
dependent=logy/
method=enter/
residuals=default/
casewise=default/
scatterplot=(logy,x1) (logy,x2) (logy,x3) (logy,x4) (*resid,x1)
(*resid,x2) (*resid,x3) (*resid,x4) (*resid,*pred)/
dep=logy/forward/
dep=logy/backward/
dep=logy/stepwise/
scatterplot=(*resid,x1) (*resid,x2) (*resid,x3) (*resid,*pred).
regression var=x1,x2,x3,x4/statistics=r/
dep=x1/enter/
dep=x2/enter/
dep=x3/enter/
dep=x4/enter.
10 Dec 97 SPSS for Unix, Release 5.0 (IBM RS/6000) Page 1
11:16:32 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
For IBM AIX 3.2. sigma.oac.ucla.edu SPSS ID 265665
-> title 'surgical unit p. 335 multiple regression'.
-> data list records=1
-> /1 case 1-2 x1 4-8 x2 10-12 x3 15-17 x4 19-23
-> y 25-28 logy 30-36.
This command will read 1 records from the command file
Variable Rec Start End Format
CASE 1 1 2 F2.0
X1 1 4 8 F5.0
X2 1 10 12 F3.0
X3 1 15 17 F3.0
X4 1 19 23 F5.0
Y 1 25 28 F4.0
LOGY 1 30 36 F7.0
-> begin data.
-> 01 6.7 62 81 2.59 200 2.3010
-> 02 5.1 59 66 1.70 101 2.0043
-> 03 7.4 57 83 2.16 204 2.3096
-> 04 6.5 73 41 2.01 101 2.0043
-> 05 7.8 65 115 4.30 509 2.7067
-> 06 5.8 38 72 1.42 80 1.9031
-> 07 5.7 46 63 1.91 80 1.9031
-> 08 3.7 68 81 2.57 127 2.1038
-> 09 6.0 67 93 2.50 202 2.3054
-> 10 3.7 76 94 2.40 203 2.3075
-> 11 6.3 84 83 4.13 329 2.5172
-> 12 6.7 51 43 1.86 65 1.8129
-> 13 5.8 96 114 3.95 830 2.9191
-> 14 5.8 83 88 3.95 330 2.5185
-> 15 7.7 62 67 3.40 168 2.2253
-> 16 7.4 74 68 2.40 217 2.3365
-> 17 6.0 85 28 2.98 87 1.9395
-> 18 3.7 51 41 1.55 34 1.5315
-> 19 7.3 68 74 3.56 215 2.3324
-> 20 5.6 57 87 3.02 172 2.2355
-> 21 5.2 52 76 2.85 109 2.0374
-> 22 3.4 83 53 1.12 136 2.1335
-> 23 6.7 26 68 2.10 70 1.8451
-> 24 5.8 67 86 3.40 220 2.3424
-> 25 6.3 59 100 2.95 276 2.4409
-> 26 5.8 61 73 3.50 144 2.1584
-> 27 5.2 52 86 2.45 181 2.2577
-> 28 11.2 76 90 5.59 574 2.7589
-> 29 5.2 54 56 2.71 72 1.8573
-> 30 5.8 76 59 2.58 178 2.2504
-> 31 3.2 64 65 0.74 71 1.8513
-> 32 8.7 45 23 2.52 58 1.7634
-> 33 5.0 59 73 3.50 116 2.0645
-> 34 5.8 72 93 3.30 295 2.4698
-> 35 5.4 58 70 2.64 115 2.0607
-> 36 5.3 51 99 2.60 184 2.2648
-> 37 2.6 74 86 2.05 118 2.0719
-> 38 4.3 8 119 2.85 120 2.0792
-> 39 4.8 61 76 2.45 151 2.1790
-> 40 5.4 52 88 1.81 148 2.1703
-> 41 5.2 49 72 1.84 95 1.9777
-> 42 3.6 28 99 1.30 75 1.8751
-> 43 8.8 86 88 6.40 483 2.6840
-> 44 6.5 56 77 2.85 153 2.1847
-> 45 3.4 77 93 1.48 191 2.2810
10 Dec 97 surgical unit p. 335 multiple regression Page 2
11:16:44 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
-> 46 6.5 40 84 3.00 123 2.0899
-> 47 4.5 73 106 3.05 311 2.4928
-> 48 4.8 86 101 4.10 398 2.5999
-> 49 5.1 67 77 2.86 158 2.1987
-> 50 3.9 82 103 4.55 310 2.4914
-> 51 6.6 77 46 1.95 124 2.0934
-> 52 6.4 85 40 1.21 125 2.0969
-> 53 6.4 59 85 2.33 198 2.2967
-> 54 8.8 78 72 3.20 313 2.4955
-> end data.
Preceding task required .05 seconds CPU time; .25 seconds elapsed.
-> frequencies gen=x1,x2,x3,x4,y,logy/format=notable/historgram.
There are 523,688 bytes of memory available.
The largest contiguous area has 523,688 bytes.
Memory allows a total of 18,703 values accumulated across all variables.
There may be up to 2,337 value labels for each variable.
10 Dec 97 surgical unit p. 335 multiple regression Page 3
11:16:44 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
X1
Count Midpoint One symbol equals approximately .40 occurrences
4 3 |**********
6 4 |***************
13 5 |*********************************
15 6 |**************************************
10 7 |*************************
2 8 |*****
3 9 |********
0 10 |
1 11 |***
+----+----+----+----+----+----+----+----+----+----+
0 4 8 12 16 20
Histogram frequency
Valid cases 54 Missing cases 0
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
X2
Count Midpoint One symbol equals approximately .40 occurrences
1 10 |***
0 20 |
2 30 |*****
2 40 |*****
10 50 |*************************
13 60 |*********************************
11 70 |****************************
10 80 |*************************
4 90 |**********
1 96 |***
+----+----+----+----+----+----+----+----+----+----+
0 4 8 12 16 20
Histogram frequency
Valid cases 54 Missing cases 0
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
X3
Count Midpoint One symbol equals approximately .40 occurrences
1 20 |***
1 30 |***
4 40 |**********
2 50 |*****
3 60 |********
12 70 |******************************
9 80 |***********************
13 90 |*********************************
5 100 |*************
2 110 |*****
2 119 |*****
+----+----+----+----+----+----+----+----+----+----+
0 4 8 12 16 20
Histogram frequency
10 Dec 97 surgical unit p. 335 multiple regression Page 4
11:16:44 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
X3
Valid cases 54 Missing cases 0
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
X4
Count Midpoint One symbol equals approximately .50 occurrences
6 1 |************
16 2 |********************************
21 3 |******************************************
8 4 |****************
1 5 |**
2 6 |****
+----+----+----+----+----+----+----+----+----+----+
0 5 10 15 20 25
Histogram frequency
Valid cases 54 Missing cases 0
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Y
Count Midpoint One symbol equals approximately .50 occurrences
1 0 |**
24 100 |************************************************
17 200 |**********************************
7 300 |**************
1 400 |**
2 500 |****
1 600 |**
0 700 |
1 800 |**
+----+----+----+----+----+----+----+----+----+----+
0 5 10 15 20 25
Histogram frequency
Valid cases 54 Missing cases 0
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
LOGY
Count Midpoint One symbol equals approximately .40 occurrences
1 2 |***
5 2 |*************
16 2 |****************************************
20 2 |**************************************************
8 3 |********************
3 3 |********
1 3 |***
+----+----+----+----+----+----+----+----+----+----+
0 4 8 12 16 20
Histogram frequency
Valid cases 54 Missing cases 0
10 Dec 97 surgical unit p. 335 multiple regression Page 5
11:16:44 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Preceding task required .03 seconds CPU time; .09 seconds elapsed.
-> variable labels x1 'blood clotting score'/
-> x2 'prognostic index'/ x3 'enzyme function test'/
-> x4 'liver function test'/y 'survival time'/
-> logy 'log(survival time)'.
-> regression descriptives=mean,stddev,corr,n/
-> variables=x1,x2,x3,x4,y/
-> statistics=r,anova,cha,coeff,outs,zpp,ci,tol,label,history/
-> dependent=y/
-> method=enter/
-> residuals=default/
-> casewise=default/
-> scatterplot=(y,x1) (y,x2) (y,x3) (y,x4) (*resid,x1) (*resid,x2)
-> (*resid,x3) (*resid,x4) (*resid,*pred)/
-> dep=y/forward/
-> dep=y/backward/
-> dep=y/stepwise.
There are 522,072 bytes of memory available.
The largest contiguous area has 518,792 bytes.
2576 bytes of memory required for REGRESSION procedure.
87496 more bytes may be needed for Residuals plots.
10 Dec 97 surgical unit p. 335 multiple regression Page 6
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Listwise Deletion of Missing Data
Mean Std Dev Label
X1 5.783 1.603 blood clotting score
X2 63.241 16.903 prognostic index
X3 77.111 21.254 enzyme function test
X4 2.744 1.070 liver function test
Y 197.167 145.299 survival time
N of Cases = 54
Correlation:
X1 X2 X3 X4 Y
X1 1.000 .090 -.150 .502 .373
X2 .090 1.000 -.024 .369 .554
X3 -.150 -.024 1.000 .416 .580
X4 .502 .369 .416 1.000 .722
Y .373 .554 .580 .722 1.000
10 Dec 97 surgical unit p. 335 multiple regression Page 7
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 1 Dependent Variable.. Y survival time
Descriptive Statistics are printed on Page 6
Block Number 1. Method: Enter
Variable(s) Entered on Step Number
1.. X4 liver function test
2.. X2 prognostic index
3.. X3 enzyme function test
4.. X1 blood clotting score
Multiple R .91474
R Square .83675 R Square Change .83675
Adjusted R Square .82342 F Change 62.78771
Standard Error 61.05651 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 4 936264.53767 234066.13442
Residual 49 182666.96233 3727.89719
F = 62.78771 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 14.091563 12.525328 -11.079026 39.262151 .103806
X2 4.271860 .563385 3.139696 5.404023 .496941
X3 4.125738 .511161 3.098522 5.152955 .603496
X1 33.163828 7.017275 19.062087 47.265570 .365884
(Constant) -621.597550 64.800426 -751.818883 -491.376218
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .722327 .064938 .158684 .391339 2.555 1.125 .2661
X2 .553976 .437665 .734766 .775666 1.289 7.582 .0000
X3 .580244 .465880 .755464 .595937 1.678 8.071 .0000
X1 .372519 .272789 .559556 .555861 1.799 4.726 .0000
(Constant) -9.592 .0000
End Block Number 1 All requested variables entered.
10 Dec 97 surgical unit p. 335 multiple regression Page 8
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 1 Dependent Variable.. Y survival time
Summary table
-------------
Step MultR Rsq F(Eqn) SigF Variable BetaIn
1 In: X4 .7223
2 In: X2 .3327
3 In: X3 .4283
4 .9147 .8367 62.788 .000 In: X1 .3659
10 Dec 97 surgical unit p. 335 multiple regression Page 9
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 1 Dependent Variable.. Y survival time
Casewise Plot of Standardized Residual
Outliers = 3. *: Selected M: Missing
-6. -3. 3. 6.
Case # O:.......: :.......:O Y *PRED *RESID
13 . .. * . 830 506.8470 323.1530
1 Outliers found.
* * * * * * * * * * * * * * * * * * * * * * * * * * * * *
Residuals Statistics:
Min Max Mean Std Dev N
*PRED -90.0293 524.5870 197.1667 132.9111 54
*RESID -80.5226 323.1530 .0000 58.7073 54
*ZPRED -2.1608 2.4635 .0000 1.0000 54
*ZRESID -1.3188 5.2927 .0000 .9615 54
Total Cases = 54
Durbin-Watson Test = 1.71972
10 Dec 97 surgical unit p. 335 multiple regression Page 10
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Outliers - Standardized Residual
Case # *ZRESID
13 5.29269
18 2.03139
9 -1.31882
32 1.12086
5 .96951
22 .91439
15 -.90007
19 -.84275
28 .80930
23 .78925
* * * * * * * * * * * * * * * * * * * * * * * * * * * * *
Histogram - Standardized Residual
N Exp N (* = 1 Cases, . : = Normal Curve)
1 .04 Out *
0 .08 3.00
0 .21 2.67
0 .48 2.33
1 .99 2.00 :
0 1.81 1.67 .
0 2.96 1.33 .
3 4.36 1.00 ***.
6 5.74 .67 *****:
6 6.77 .33 ******.
6 7.15 .00 ******.
11 6.77 -.33 ******:****
17 5.74 -.67 *****:***********
2 4.36 -1.00 ** .
1 2.96 -1.33 * .
0 1.81 -1.67 .
0 .99 -2.00 .
0 .48 -2.33
0 .21 -2.67
0 .08 -3.00
0 .04 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 11
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Normal Probability (P-P) Plot
Standardized Residual
1.0 +---------+---------+---------+--------**
| . |
| . |
| . ** |
| . *** |
.75 + . * +
| . **** |
E | . * |
x | . ** |
p | . ** |
e .5 + . ** +
c | . *** |
t | .***** |
e | . ** |
d | ******* |
.25 + ****** . +
|*** . |
| . |
| . |
| . |
+---------+---------+---------+---------+ Observed
.25 .5 .75 1.0
10 Dec 97 surgical unit p. 335 multiple regression Page 12
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - X1 Down - Y
Out ++-----+-----+---- . ----+-----+-----++
3 + Symbols:
| .
| Max N
2 + . . +
| | . 1.0
| . | : 2.0
1 + . . + * 3.0
| . . . . . |
| |
0 + .. : :... * +
| .. .. :. .. . |
| . . ::.:. * |
-1 + . : . : . +
| |
| |
-2 + +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
Standardized Scatterplot
Across - X2 Down - Y
Out ++-----+-----+-----+-----+---- . ----++
3 + + Symbols:
| . |
| | Max N
2 + . . +
| | . 1.0
| . | : 2.0
1 + : + * 3.0
| . : . . |
| |
0 + : : .:. .* +
...:... .. |
. .. ... * ... . |
-1 : . :. . +
| |
| |
-2 + +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 13
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - X3 Down - Y
Out ++-----+-----+-----+-----+-- . +-----++
3 + + Symbols:
| . |
| | Max N
2 + . . +
| | . 1.0
| . | : 2.0
1 + .. + * 3.0
| . . ... |
| |
0 + . . . .:::.. +
| . . . .*. : |
| . .. ...*. .. . |
-1 + . : . : . +
| |
| |
-2 + +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
Standardized Scatterplot
Across - X4 Down - Y
Out ++-----+-----+-----+----- . ---+-----++
3 + + Symbols:
| . |
| Max N
2 + . .
| . 1.0
| . | : 2.0
1 + .. + * 4.0
| ..: . |
| |
0 + . .** .. +
| : . .. :. : |
| ..:* . * . |
-1 + . .. .. .. +
| |
| |
-2 + +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 14
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - X1 Down - *RESID
Out ++-----+-----+---- . ----+-----+-----++
3 + + Symbols:
| |
| | Max N
2 + . +
| | . 1.0
| | : 2.0
1 + . . . * 4.0
| . . . : .
| . * :
0 + ... . . . +
| .::.*. |
| . .:. :..: * : . |
-1 + .. +
| . |
| |
-2 + +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
Standardized Scatterplot
Across - X2 Down - *RESID
Out ++-----+-----+-----+-----+---- . ----++
3 + + Symbols:
| |
| | Max N
2 + . +
| | . 1.0
| | : 2.0
1 . . . + * 3.0
. : . . . |
. .... . |
0 + .. : . . +
| : * . . :: |
| . ..*..:. :* . |
-1 + . . +
| . |
| |
-2 + +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 15
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - X3 Down - *RESID
Out ++-----+-----+-----+-----+-- . +-----++
3 + + Symbols:
| |
| | Max N
2 + . +
| | . 1.0
| | : 2.0
1 + . . . + * 3.0
| . : . . . |
| . . : . . |
0 + . . . . . . +
| . .. . . ::. . |
| . *:::*.... |
-1 + . . +
| . |
| |
-2 + +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
Standardized Scatterplot
Across - X4 Down - *RESID
Out ++-----+-----+-----+----- . ---+-----++
3 + + Symbols:
| |
| | Max N
2 + . +
| | . 1.0
| | : 2.0
1 + . . . + * 3.0
| . . .. . . |
| . : . . .
0 + . . .. . .
| . .. .. * . ..
| . ..:* *..* . |
-1 + .. +
| . |
| |
-2 + +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 16
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - *PRED Down - *RESID
Out ++-----+-----+-----+-----+-----+ . --++
3 + + Symbols:
| |
| | Max N
2 + . +
| | . 1.0
| | : 2.0
1 + . . . + * 3.0
| :: . . |
| * . . . |
0 + .. .. . . +
| .*.. . .. : |
| *::**: : |
-1 + . . +
| . |
| |
-2 + +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 17
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. Y survival time
Descriptive Statistics are printed on Page 6
Block Number 1. Method: Forward Criterion PIN .0500
Variable(s) Entered on Step Number
1.. X4 liver function test
Multiple R .72233
R Square .52176 R Square Change .52176
Adjusted R Square .51256 F Change 56.73104
Standard Error 101.44368 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 1 583808.87324 583808.87324
Residual 52 535122.62676 10290.81975
F = 56.73104 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 98.054840 13.018432 71.931445 124.178235 .722327
(Constant) -71.921235 38.300318 -148.776447 4.933977
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .722327 .722327 .722327 1.000000 1.000 7.532 .0000
(Constant) -1.878 .0660
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 .012855 .016073 .747578 1.338 .747578 .115 .9091
X2 .332730 .447176 .863820 1.158 .863820 3.570 .0008
X3 .338075 .444460 .826591 1.210 .826591 3.543 .0009
10 Dec 97 surgical unit p. 335 multiple regression Page 18
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. Y survival time
Variable(s) Entered on Step Number
2.. X2 prognostic index
Multiple R .78574
R Square .61739 R Square Change .09563
Adjusted R Square .60238 F Change 12.74735
Standard Error 91.62112 Signif F Change .0008
Analysis of Variance
DF Sum of Squares Mean Square
Regression 2 690815.58520 345407.79260
Residual 51 428115.91480 8394.42970
F = 41.14726 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 81.386817 12.650790 55.989297 106.784337 .599541
X2 2.860251 .801114 1.251948 4.468554 .332730
(Constant) -207.064232 51.277006 -310.007117 -104.121346
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .722327 .557225 .669313 .863820 1.158 6.433 .0000
X2 .553976 .309246 .447176 .863820 1.158 3.570 .0008
(Constant) -4.038 .0002
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 .056052 .077798 .737068 1.357 .641907 .552 .5836
X3 .428285 .615495 .790209 1.265 .682979 5.522 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 19
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. Y survival time
Variable(s) Entered on Step Number
3.. X3 enzyme function test
Multiple R .87312
R Square .76234 R Square Change .14495
Adjusted R Square .74808 F Change 30.49386
Standard Error 72.92884 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 3 853000.72546 284333.57515
Residual 50 265930.77454 5318.61549
F = 53.46007 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 52.773231 11.324767 30.026766 75.519695 .388757
X2 3.615818 .652187 2.305862 4.925774 .420625
X3 2.927928 .530218 1.862954 3.992901 .428285
(Constant) -402.099531 53.975348 -510.512209 -293.686854
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .722327 .321279 .550273 .682979 1.464 4.660 .0000
X2 .553976 .382236 .617016 .825800 1.211 5.544 .0000
X3 .580244 .380718 .615495 .790209 1.265 5.522 .0000
(Constant) -7.450 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 .365884 .559556 .555861 1.799 .391339 4.726 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 20
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. Y survival time
Variable(s) Entered on Step Number
4.. X1 blood clotting score
Multiple R .91474
R Square .83675 R Square Change .07441
Adjusted R Square .82342 F Change 22.33533
Standard Error 61.05651 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 4 936264.53767 234066.13442
Residual 49 182666.96233 3727.89719
F = 62.78771 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 14.091563 12.525328 -11.079026 39.262151 .103806
X2 4.271860 .563385 3.139696 5.404023 .496941
X3 4.125738 .511161 3.098522 5.152955 .603496
X1 33.163828 7.017275 19.062087 47.265570 .365884
(Constant) -621.597550 64.800426 -751.818883 -491.376218
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .722327 .064938 .158684 .391339 2.555 1.125 .2661
X2 .553976 .437665 .734766 .775666 1.289 7.582 .0000
X3 .580244 .465880 .755464 .595937 1.678 8.071 .0000
X1 .372519 .272789 .559556 .555861 1.799 4.726 .0000
(Constant) -9.592 .0000
End Block Number 1 All requested variables entered.
10 Dec 97 surgical unit p. 335 multiple regression Page 21
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. Y survival time
Summary table
-------------
Step MultR Rsq F(Eqn) SigF Variable BetaIn
1 .7223 .5218 56.731 .000 In: X4 .7223
2 .7857 .6174 41.147 .000 In: X2 .3327
3 .8731 .7623 53.460 .000 In: X3 .4283
4 .9147 .8367 62.788 .000 In: X1 .3659
10 Dec 97 surgical unit p. 335 multiple regression Page 22
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 3 Dependent Variable.. Y survival time
Descriptive Statistics are printed on Page 6
Block Number 1. Method: Enter
Variable(s) Entered on Step Number
1.. X4 liver function test
2.. X2 prognostic index
3.. X3 enzyme function test
4.. X1 blood clotting score
Multiple R .91474
R Square .83675 R Square Change .83675
Adjusted R Square .82342 F Change 62.78771
Standard Error 61.05651 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 4 936264.53767 234066.13442
Residual 49 182666.96233 3727.89719
F = 62.78771 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 14.091563 12.525328 -11.079026 39.262151 .103806
X2 4.271860 .563385 3.139696 5.404023 .496941
X3 4.125738 .511161 3.098522 5.152955 .603496
X1 33.163828 7.017275 19.062087 47.265570 .365884
(Constant) -621.597550 64.800426 -751.818883 -491.376218
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .722327 .064938 .158684 .391339 2.555 1.125 .2661
X2 .553976 .437665 .734766 .775666 1.289 7.582 .0000
X3 .580244 .465880 .755464 .595937 1.678 8.071 .0000
X1 .372519 .272789 .559556 .555861 1.799 4.726 .0000
(Constant) -9.592 .0000
End Block Number 1 All requested variables entered.
10 Dec 97 surgical unit p. 335 multiple regression Page 23
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 3 Dependent Variable.. Y survival time
Block Number 2. Method: Backward Criterion POUT .1000
Variable(s) Removed on Step Number
5.. X4 liver function test
Multiple R .91243
R Square .83253 R Square Change -.00422
Adjusted R Square .82248 F Change 1.26573
Standard Error 61.21854 Signif F Change .2661
Analysis of Variance
DF Sum of Squares Mean Square
Regression 3 931546.03667 310515.34556
Residual 50 187385.46333 3747.70927
F = 82.85470 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X2 4.567732 .499559 3.564338 5.571126 .531360
X3 4.485036 .400174 3.681263 5.288810 .656052
X1 38.322744 5.325891 27.625376 49.020112 .422800
(Constant) -659.179420 55.674081 -771.004104 -547.354736
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X2 .553976 .529170 .791050 .991774 1.008 9.144 .0000
X3 .580244 .648632 .845744 .977506 1.023 11.208 .0000
X1 .372519 .416433 .713250 .970108 1.031 7.196 .0000
(Constant) -11.840 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X4 .103806 .158684 .391339 2.555 .391339 1.125 .2661
End Block Number 2 POUT = .100 Limits reached.
10 Dec 97 surgical unit p. 335 multiple regression Page 24
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 3 Dependent Variable.. Y survival time
Summary table
-------------
Step MultR Rsq F(Eqn) SigF Variable BetaIn
1 In: X4 .7223
2 In: X2 .3327
3 In: X3 .4283
4 .9147 .8367 62.788 .000 In: X1 .3659
5 .9124 .8325 82.855 .000 Out: X4
10 Dec 97 surgical unit p. 335 multiple regression Page 25
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. Y survival time
Descriptive Statistics are printed on Page 6
Block Number 1. Method: Stepwise Criteria PIN .0500 POUT .1000
Variable(s) Entered on Step Number
1.. X4 liver function test
Multiple R .72233
R Square .52176 R Square Change .52176
Adjusted R Square .51256 F Change 56.73104
Standard Error 101.44368 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 1 583808.87324 583808.87324
Residual 52 535122.62676 10290.81975
F = 56.73104 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 98.054840 13.018432 71.931445 124.178235 .722327
(Constant) -71.921235 38.300318 -148.776447 4.933977
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .722327 .722327 .722327 1.000000 1.000 7.532 .0000
(Constant) -1.878 .0660
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 .012855 .016073 .747578 1.338 .747578 .115 .9091
X2 .332730 .447176 .863820 1.158 .863820 3.570 .0008
X3 .338075 .444460 .826591 1.210 .826591 3.543 .0009
10 Dec 97 surgical unit p. 335 multiple regression Page 26
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. Y survival time
Variable(s) Entered on Step Number
2.. X2 prognostic index
Multiple R .78574
R Square .61739 R Square Change .09563
Adjusted R Square .60238 F Change 12.74735
Standard Error 91.62112 Signif F Change .0008
Analysis of Variance
DF Sum of Squares Mean Square
Regression 2 690815.58520 345407.79260
Residual 51 428115.91480 8394.42970
F = 41.14726 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 81.386817 12.650790 55.989297 106.784337 .599541
X2 2.860251 .801114 1.251948 4.468554 .332730
(Constant) -207.064232 51.277006 -310.007117 -104.121346
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .722327 .557225 .669313 .863820 1.158 6.433 .0000
X2 .553976 .309246 .447176 .863820 1.158 3.570 .0008
(Constant) -4.038 .0002
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 .056052 .077798 .737068 1.357 .641907 .552 .5836
X3 .428285 .615495 .790209 1.265 .682979 5.522 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 27
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. Y survival time
Variable(s) Entered on Step Number
3.. X3 enzyme function test
Multiple R .87312
R Square .76234 R Square Change .14495
Adjusted R Square .74808 F Change 30.49386
Standard Error 72.92884 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 3 853000.72546 284333.57515
Residual 50 265930.77454 5318.61549
F = 53.46007 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 52.773231 11.324767 30.026766 75.519695 .388757
X2 3.615818 .652187 2.305862 4.925774 .420625
X3 2.927928 .530218 1.862954 3.992901 .428285
(Constant) -402.099531 53.975348 -510.512209 -293.686854
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .722327 .321279 .550273 .682979 1.464 4.660 .0000
X2 .553976 .382236 .617016 .825800 1.211 5.544 .0000
X3 .580244 .380718 .615495 .790209 1.265 5.522 .0000
(Constant) -7.450 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 .365884 .559556 .555861 1.799 .391339 4.726 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 28
11:16:45 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. Y survival time
Variable(s) Entered on Step Number
4.. X1 blood clotting score
Multiple R .91474
R Square .83675 R Square Change .07441
Adjusted R Square .82342 F Change 22.33533
Standard Error 61.05651 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 4 936264.53767 234066.13442
Residual 49 182666.96233 3727.89719
F = 62.78771 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 14.091563 12.525328 -11.079026 39.262151 .103806
X2 4.271860 .563385 3.139696 5.404023 .496941
X3 4.125738 .511161 3.098522 5.152955 .603496
X1 33.163828 7.017275 19.062087 47.265570 .365884
(Constant) -621.597550 64.800426 -751.818883 -491.376218
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .722327 .064938 .158684 .391339 2.555 1.125 .2661
X2 .553976 .437665 .734766 .775666 1.289 7.582 .0000
X3 .580244 .465880 .755464 .595937 1.678 8.071 .0000
X1 .372519 .272789 .559556 .555861 1.799 4.726 .0000
(Constant) -9.592 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 29
11:16:46 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. Y survival time
Variable(s) Removed on Step Number
5.. X4 liver function test
Multiple R .91243
R Square .83253 R Square Change -.00422
Adjusted R Square .82248 F Change 1.26573
Standard Error 61.21854 Signif F Change .2661
Analysis of Variance
DF Sum of Squares Mean Square
Regression 3 931546.03667 310515.34556
Residual 50 187385.46333 3747.70927
F = 82.85470 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X2 4.567732 .499559 3.564338 5.571126 .531360
X3 4.485036 .400174 3.681263 5.288810 .656052
X1 38.322744 5.325891 27.625376 49.020112 .422800
(Constant) -659.179420 55.674081 -771.004104 -547.354736
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X2 .553976 .529170 .791050 .991774 1.008 9.144 .0000
X3 .580244 .648632 .845744 .977506 1.023 11.208 .0000
X1 .372519 .416433 .713250 .970108 1.031 7.196 .0000
(Constant) -11.840 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X4 .103806 .158684 .391339 2.555 .391339 1.125 .2661
End Block Number 1 PIN = .050 Limits reached.
10 Dec 97 surgical unit p. 335 multiple regression Page 30
11:16:46 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. Y survival time
Summary table
-------------
Step MultR Rsq F(Eqn) SigF Variable BetaIn
1 .7223 .5218 56.731 .000 In: X4 .7223
2 .7857 .6174 41.147 .000 In: X2 .3327
3 .8731 .7623 53.460 .000 In: X3 .4283
4 .9147 .8367 62.788 .000 In: X1 .3659
5 .9124 .8325 82.855 .000 Out: X4
10 Dec 97 surgical unit p. 335 multiple regression Page 31
11:16:46 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Preceding task required .06 seconds CPU time; 1.82 seconds elapsed.
-> regression descriptives=mean,stddev,corr,n/
-> variables=x1,x2,x3,x4,logy/
-> statistics=r,anova,cha,coeff,outs,zpp,ci,tol,label,history/
-> dependent=logy/
-> method=enter/
-> residuals=default/
-> casewise=default/
-> scatterplot=(logy,x1) (logy,x2) (logy,x3) (logy,x4) (*resid,x1)
-> (*resid,x2) (*resid,x3) (*resid,x4) (*resid,*pred)/
-> dep=logy/forward/
-> dep=logy/backward/
-> dep=logy/stepwise/
-> scatterplot=(*resid,x1) (*resid,x2) (*resid,x3) (*resid,*pred).
There are 521,904 bytes of memory available.
The largest contiguous area has 518,792 bytes.
2576 bytes of memory required for REGRESSION procedure.
87496 more bytes may be needed for Residuals plots.
10 Dec 97 surgical unit p. 335 multiple regression Page 32
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Listwise Deletion of Missing Data
Mean Std Dev Label
X1 5.783 1.603 blood clotting score
X2 63.241 16.903 prognostic index
X3 77.111 21.254 enzyme function test
X4 2.744 1.070 liver function test
LOGY 2.206 .274 log(survival time)
N of Cases = 54
Correlation:
X1 X2 X3 X4 LOGY
X1 1.000 .090 -.150 .502 .346
X2 .090 1.000 -.024 .369 .593
X3 -.150 -.024 1.000 .416 .665
X4 .502 .369 .416 1.000 .726
LOGY .346 .593 .665 .726 1.000
10 Dec 97 surgical unit p. 335 multiple regression Page 33
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 1 Dependent Variable.. LOGY log(survival time)
Descriptive Statistics are printed on Page 32
Block Number 1. Method: Enter
Variable(s) Entered on Step Number
1.. X4 liver function test
2.. X2 prognostic index
3.. X3 enzyme function test
4.. X1 blood clotting score
Multiple R .98609
R Square .97237 R Square Change .97237
Adjusted R Square .97011 F Change 431.09721
Standard Error .04733 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 4 3.86300 .96575
Residual 49 .10977 .00224
F = 431.09721 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 .001925 .009710 -.017587 .021438 .007527
X2 .009254 4.3673E-04 .008376 .010132 .571318
X3 .009475 3.9625E-04 .008678 .010271 .735505
X1 .068520 .005440 .057589 .079452 .401192
(Constant) .488756 .050233 .387809 .589703
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .726206 .004709 .028317 .391339 2.555 .198 .8436
X2 .592889 .503170 .949528 .775666 1.289 21.189 .0000
X3 .665122 .567788 .959718 .595937 1.678 23.910 .0000
X1 .346404 .299113 .874094 .555861 1.799 12.596 .0000
(Constant) 9.730 .0000
End Block Number 1 All requested variables entered.
10 Dec 97 surgical unit p. 335 multiple regression Page 34
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 1 Dependent Variable.. LOGY log(survival time)
Summary table
-------------
Step MultR Rsq F(Eqn) SigF Variable BetaIn
1 In: X4 .7262
2 In: X2 .3761
3 In: X3 .5434
4 .9861 .9724 431.097 .000 In: X1 .4012
>Note # 12650
>No outliers found. No casewise plot produced.
* * * * * * * * * * * * * * * * * * * * * * * * * * * * *
Residuals Statistics:
Min Max Mean Std Dev N
*PRED 1.6057 2.8623 2.2061 .2700 54
*RESID -.1004 .1394 .0000 .0455 54
*ZPRED -2.2241 2.4303 .0000 1.0000 54
*ZRESID -2.1223 2.9447 .0000 .9615 54
Total Cases = 54
Durbin-Watson Test = 2.14568
10 Dec 97 surgical unit p. 335 multiple regression Page 35
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Outliers - Standardized Residual
Case # *ZRESID
22 2.94473
27 2.36414
9 -2.12227
37 -2.08259
30 2.04832
38 1.87649
18 -1.56729
39 1.52255
31 -1.39980
28 -1.35359
* * * * * * * * * * * * * * * * * * * * * * * * * * * * *
Histogram - Standardized Residual
N Exp N (* = 1 Cases, . : = Normal Curve)
0 .04 Out
1 .08 3.00 *
0 .21 2.67
1 .48 2.33 *
2 .99 2.00 :*
1 1.81 1.67 *.
1 2.96 1.33 * .
0 4.36 1.00 .
3 5.74 .67 *** .
8 6.77 .33 ******:*
17 7.15 .00 ******:**********
10 6.77 -.33 ******:***
2 5.74 -.67 ** .
2 4.36 -1.00 ** .
3 2.96 -1.33 **:
1 1.81 -1.67 *.
2 .99 -2.00 :*
0 .48 -2.33
0 .21 -2.67
0 .08 -3.00
0 .04 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 36
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Normal Probability (P-P) Plot
Standardized Residual
1.0 +---------+---------+---------+-------***
| *. |
| * |
| . |
| . * |
.75 + . * +
| . *** |
E | . * |
x | . **** |
p | . ***** |
e .5 + **** +
c | ****** |
t | ** . |
e | **** . |
d | * . |
.25 + * . +
| * . |
| *. |
| ** |
| * |
**--------+---------+---------+---------+ Observed
.25 .5 .75 1.0
10 Dec 97 surgical unit p. 335 multiple regression Page 37
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - X1 Down - LOGY
Out ++-----+-----+-----+-----+-----+-----++
3 + + Symbols:
| . |
| Max N
2 + .
| . . . 1.0
| . | : 2.0
1 + . . : : . + * 3.0
| |
| .. : .... * |
0 + .. :. . . +
| . .. . . .: |
| :.. . |
-1 + . :. +
| . . . : |
| . |
-2 + +
| . |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
Standardized Scatterplot
Across - X2 Down - LOGY
Out ++-----+-----+-----+-----+-----+-----++
3 + + Symbols:
| . |
| | Max N
2 + . +
| . . | . 1.0
| . | : 2.0
1 + . : . * + * 3.0
| |
| : : .:. .: |
0 ...... . +
. . . . .. .. |
. * . |
-1 + . .. . +
| : .. . |
| . |
-2 + +
| . |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 38
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - X3 Down - LOGY
Out ++-----+-----+-----+-----+-----+-----++
3 + + Symbols:
| . |
| | Max N
2 + . +
| . . | . 1.0
| . | : 2.0
1 + . ... ... + * 3.0
| |
| . . .:::.. |
0 + . . * : +
| .. . . ... . |
| . .... |
-1 + . . : +
| . . : . |
| . |
-2 + +
| . |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
Standardized Scatterplot
Across - X4 Down - LOGY
Out ++-----+-----+-----+-----+-----+-----++
3 + + Symbols:
| . |
| | Max N
2 + .
| . . . 1.0
| . : 2.0
1 + ..: .. . + * 4.0
| |
| . .** .. |
0 + . .. :. . +
| : : . : . |
| . . . . . |
-1 + . : . +
| . . .. . |
| . |
-2 + +
| . |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 39
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - X1 Down - *RESID
Out ++-----+-----+-----+-----+-----+-----++
3 + . + Symbols:
| |
| . | Max N
2 + . . +
| . | . 1.0
| . | : 2.0
1 + + * 4.0
| . . . |
| .. * :. |
0 + .:*. .* *. . +
| . :: .. : . |
| .. |
-1 + . .
| . . .
| .
-2 + . . +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
Standardized Scatterplot
Across - X2 Down - *RESID
Out ++-----+-----+-----+-----+-----+-----++
3 + . + Symbols:
| |
. | Max N
2 . . +
. | . 1.0
| . | : 2.0
1 + + * 3.0
| . . . |
| . :. . . .. |
0 + ..:.* :....: . +
| .. :.: . .. |
| : |
-1 + . . +
| . . . |
| . |
-2 + . . +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 40
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - X3 Down - *RESID
Out ++-----+-----+-----+-----+-----+-----++
3 + . + Symbols:
| |
| . | Max N
2 + . . +
| . | . 1.0
| . | : 2.0
1 + + * 3.0
| . . . |
| . . .: ... |
0 + :. .:.*:..: . +
| . . . . :. . . . |
| .. |
-1 + . . +
| . . . |
| . |
-2 + .. +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
Standardized Scatterplot
Across - X4 Down - *RESID
Out ++-----+-----+-----+-----+-----+-----++
3 + . + Symbols:
| |
| . | Max N
2 + . . +
| . | . 1.0
| . | : 2.0
1 + + * 3.0
| . . . |
| . . .. : .. |
0 + . *:..* :.... +
| ... .* . .. |
| . .
-1 + . .
| . . .
| . |
-2 + . . +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 41
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - *PRED Down - *RESID
Out ++-----+-----+-----+-----+-----+-----++
3 + . + Symbols:
| |
| . | Max N
2 + . . +
| . | . 1.0
| . | : 2.0
1 + + * 3.0
| . .. |
| . . .. .: . |
0 + . : :..:*:: . +
| ..: .:. . . |
| .. |
-1 + . . +
| : . |
| . |
-2 + . . +
| |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 42
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. LOGY log(survival time)
Descriptive Statistics are printed on Page 32
Block Number 1. Method: Forward Criterion PIN .0500
Variable(s) Entered on Step Number
1.. X4 liver function test
Multiple R .72621
R Square .52737 R Square Change .52737
Adjusted R Square .51829 F Change 58.02377
Standard Error .19002 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 1 2.09514 2.09514
Residual 52 1.87763 .03611
F = 58.02377 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 .185755 .024386 .136821 .234689 .726206
(Constant) 1.696385 .071743 1.552422 1.840348
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .726206 .726206 .726206 1.000000 1.000 7.617 .0000
(Constant) 23.645 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 -.024684 -.031044 .747578 1.338 .747578 -.222 .8254
X2 .376120 .508487 .863820 1.158 .863820 4.217 .0001
X3 .438805 .580307 .826591 1.210 .826591 5.089 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 43
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. LOGY log(survival time)
Variable(s) Entered on Step Number
2.. X3 enzyme function test
Multiple R .82857
R Square .68653 R Square Change .15916
Adjusted R Square .67424 F Change 25.89482
Standard Error .15626 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 2 2.72744 1.36372
Residual 51 1.24533 .02442
F = 55.84864 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 .139015 .022057 .094734 .183296 .543477
X3 .005653 .001111 .003423 .007883 .438805
(Constant) 1.388778 .084468 1.219201 1.558354
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .726206 .494113 .661698 .826591 1.210 6.303 .0000
X3 .665122 .398948 .580307 .826591 1.210 5.089 .0000
(Constant) 16.441 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 .234903 .322758 .591788 1.690 .500370 2.411 .0196
X2 .487636 .791478 .825800 1.211 .682979 9.157 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 44
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. LOGY log(survival time)
Variable(s) Entered on Step Number
3.. X2 prognostic index
Multiple R .93963
R Square .88290 R Square Change .19637
Adjusted R Square .87587 F Change 83.84613
Standard Error .09646 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 3 3.50756 1.16919
Residual 50 .46521 .00930
F = 125.66275 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 .081846 .014979 .051761 .111931 .319976
X3 .007000 7.0128E-04 .005591 .008408 .543387
X2 .007899 8.6260E-04 .006166 .009631 .487636
(Constant) .942263 .071390 .798873 1.085654
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .726206 .264436 .611463 .682979 1.464 5.464 .0000
X3 .665122 .483037 .815987 .790209 1.265 9.981 .0000
X2 .592889 .443132 .791478 .825800 1.211 9.157 .0000
(Constant) 13.199 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 .401192 .874094 .555861 1.799 .391339 12.596 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 45
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. LOGY log(survival time)
Variable(s) Entered on Step Number
4.. X1 blood clotting score
Multiple R .98609
R Square .97237 R Square Change .08947
Adjusted R Square .97011 F Change 158.66249
Standard Error .04733 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 4 3.86300 .96575
Residual 49 .10977 .00224
F = 431.09721 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 .001925 .009710 -.017587 .021438 .007527
X3 .009475 3.9625E-04 .008678 .010271 .735505
X2 .009254 4.3673E-04 .008376 .010132 .571318
X1 .068520 .005440 .057589 .079452 .401192
(Constant) .488756 .050233 .387809 .589703
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .726206 .004709 .028317 .391339 2.555 .198 .8436
X3 .665122 .567788 .959718 .595937 1.678 23.910 .0000
X2 .592889 .503170 .949528 .775666 1.289 21.189 .0000
X1 .346404 .299113 .874094 .555861 1.799 12.596 .0000
(Constant) 9.730 .0000
End Block Number 1 All requested variables entered.
10 Dec 97 surgical unit p. 335 multiple regression Page 46
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. LOGY log(survival time)
Summary table
-------------
Step MultR Rsq F(Eqn) SigF Variable BetaIn
1 .7262 .5274 58.024 .000 In: X4 .7262
2 .8286 .6865 55.849 .000 In: X3 .4388
3 .9396 .8829 125.663 .000 In: X2 .4876
4 .9861 .9724 431.097 .000 In: X1 .4012
10 Dec 97 surgical unit p. 335 multiple regression Page 47
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 3 Dependent Variable.. LOGY log(survival time)
Descriptive Statistics are printed on Page 32
Block Number 1. Method: Enter
Variable(s) Entered on Step Number
1.. X4 liver function test
2.. X2 prognostic index
3.. X3 enzyme function test
4.. X1 blood clotting score
Multiple R .98609
R Square .97237 R Square Change .97237
Adjusted R Square .97011 F Change 431.09721
Standard Error .04733 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 4 3.86300 .96575
Residual 49 .10977 .00224
F = 431.09721 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 .001925 .009710 -.017587 .021438 .007527
X2 .009254 4.3673E-04 .008376 .010132 .571318
X3 .009475 3.9625E-04 .008678 .010271 .735505
X1 .068520 .005440 .057589 .079452 .401192
(Constant) .488756 .050233 .387809 .589703
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .726206 .004709 .028317 .391339 2.555 .198 .8436
X2 .592889 .503170 .949528 .775666 1.289 21.189 .0000
X3 .665122 .567788 .959718 .595937 1.678 23.910 .0000
X1 .346404 .299113 .874094 .555861 1.799 12.596 .0000
(Constant) 9.730 .0000
End Block Number 1 All requested variables entered.
10 Dec 97 surgical unit p. 335 multiple regression Page 48
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 3 Dependent Variable.. LOGY log(survival time)
Block Number 2. Method: Backward Criterion POUT .1000
Variable(s) Removed on Step Number
5.. X4 liver function test
Multiple R .98608
R Square .97235 R Square Change -.00002
Adjusted R Square .97069 F Change .03932
Standard Error .04687 Signif F Change .8436
Analysis of Variance
DF Sum of Squares Mean Square
Regression 3 3.86291 1.28764
Residual 50 .10986 .00220
F = 586.04313 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X2 .009295 3.8250E-04 .008526 .010063 .573813
X3 .009524 3.0641E-04 .008908 .010139 .739316
X1 .069225 .004078 .061034 .077416 .405319
(Constant) .483621 .042629 .397999 .569243
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X2 .592889 .571448 .960172 .991774 1.008 24.299 .0000
X3 .665122 .730954 .975085 .977506 1.023 31.082 .0000
X1 .346404 .399215 .923116 .970108 1.031 16.975 .0000
(Constant) 11.345 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X4 .007527 .028317 .391339 2.555 .391339 .198 .8436
End Block Number 2 POUT = .100 Limits reached.
10 Dec 97 surgical unit p. 335 multiple regression Page 49
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 3 Dependent Variable.. LOGY log(survival time)
Summary table
-------------
Step MultR Rsq F(Eqn) SigF Variable BetaIn
1 In: X4 .7262
2 In: X2 .3761
3 In: X3 .5434
4 .9861 .9724 431.097 .000 In: X1 .4012
5 .9861 .9723 586.043 .000 Out: X4
10 Dec 97 surgical unit p. 335 multiple regression Page 50
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. LOGY log(survival time)
Descriptive Statistics are printed on Page 32
Block Number 1. Method: Stepwise Criteria PIN .0500 POUT .1000
Variable(s) Entered on Step Number
1.. X4 liver function test
Multiple R .72621
R Square .52737 R Square Change .52737
Adjusted R Square .51829 F Change 58.02377
Standard Error .19002 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 1 2.09514 2.09514
Residual 52 1.87763 .03611
F = 58.02377 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 .185755 .024386 .136821 .234689 .726206
(Constant) 1.696385 .071743 1.552422 1.840348
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .726206 .726206 .726206 1.000000 1.000 7.617 .0000
(Constant) 23.645 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 -.024684 -.031044 .747578 1.338 .747578 -.222 .8254
X2 .376120 .508487 .863820 1.158 .863820 4.217 .0001
X3 .438805 .580307 .826591 1.210 .826591 5.089 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 51
11:16:50 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. LOGY log(survival time)
Variable(s) Entered on Step Number
2.. X3 enzyme function test
Multiple R .82857
R Square .68653 R Square Change .15916
Adjusted R Square .67424 F Change 25.89482
Standard Error .15626 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 2 2.72744 1.36372
Residual 51 1.24533 .02442
F = 55.84864 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 .139015 .022057 .094734 .183296 .543477
X3 .005653 .001111 .003423 .007883 .438805
(Constant) 1.388778 .084468 1.219201 1.558354
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .726206 .494113 .661698 .826591 1.210 6.303 .0000
X3 .665122 .398948 .580307 .826591 1.210 5.089 .0000
(Constant) 16.441 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 .234903 .322758 .591788 1.690 .500370 2.411 .0196
X2 .487636 .791478 .825800 1.211 .682979 9.157 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 52
11:16:51 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. LOGY log(survival time)
Variable(s) Entered on Step Number
3.. X2 prognostic index
Multiple R .93963
R Square .88290 R Square Change .19637
Adjusted R Square .87587 F Change 83.84613
Standard Error .09646 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 3 3.50756 1.16919
Residual 50 .46521 .00930
F = 125.66275 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 .081846 .014979 .051761 .111931 .319976
X3 .007000 7.0128E-04 .005591 .008408 .543387
X2 .007899 8.6260E-04 .006166 .009631 .487636
(Constant) .942263 .071390 .798873 1.085654
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .726206 .264436 .611463 .682979 1.464 5.464 .0000
X3 .665122 .483037 .815987 .790209 1.265 9.981 .0000
X2 .592889 .443132 .791478 .825800 1.211 9.157 .0000
(Constant) 13.199 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X1 .401192 .874094 .555861 1.799 .391339 12.596 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 53
11:16:51 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. LOGY log(survival time)
Variable(s) Entered on Step Number
4.. X1 blood clotting score
Multiple R .98609
R Square .97237 R Square Change .08947
Adjusted R Square .97011 F Change 158.66249
Standard Error .04733 Signif F Change .0000
Analysis of Variance
DF Sum of Squares Mean Square
Regression 4 3.86300 .96575
Residual 49 .10977 .00224
F = 431.09721 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X4 .001925 .009710 -.017587 .021438 .007527
X3 .009475 3.9625E-04 .008678 .010271 .735505
X2 .009254 4.3673E-04 .008376 .010132 .571318
X1 .068520 .005440 .057589 .079452 .401192
(Constant) .488756 .050233 .387809 .589703
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X4 .726206 .004709 .028317 .391339 2.555 .198 .8436
X3 .665122 .567788 .959718 .595937 1.678 23.910 .0000
X2 .592889 .503170 .949528 .775666 1.289 21.189 .0000
X1 .346404 .299113 .874094 .555861 1.799 12.596 .0000
(Constant) 9.730 .0000
10 Dec 97 surgical unit p. 335 multiple regression Page 54
11:16:52 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. LOGY log(survival time)
Variable(s) Removed on Step Number
5.. X4 liver function test
Multiple R .98608
R Square .97235 R Square Change -.00002
Adjusted R Square .97069 F Change .03932
Standard Error .04687 Signif F Change .8436
Analysis of Variance
DF Sum of Squares Mean Square
Regression 3 3.86291 1.28764
Residual 50 .10986 .00220
F = 586.04313 Signif F = .0000
---------------------- Variables in the Equation -----------------------
Variable B SE B 95% Confdnce Intrvl B Beta
X3 .009524 3.0641E-04 .008908 .010139 .739316
X2 .009295 3.8250E-04 .008526 .010063 .573813
X1 .069225 .004078 .061034 .077416 .405319
(Constant) .483621 .042629 .397999 .569243
------------------------ Variables in the Equation -------------------------
Variable Correl Part Cor Partial Tolerance VIF T Sig T
X3 .665122 .730954 .975085 .977506 1.023 31.082 .0000
X2 .592889 .571448 .960172 .991774 1.008 24.299 .0000
X1 .346404 .399215 .923116 .970108 1.031 16.975 .0000
(Constant) 11.345 .0000
------------------------ Variables not in the Equation ------------------------
Variable Beta In Partial Tolerance VIF Min Toler T Sig T
X4 .007527 .028317 .391339 2.555 .391339 .198 .8436
End Block Number 1 PIN = .050 Limits reached.
10 Dec 97 surgical unit p. 335 multiple regression Page 55
11:16:52 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. LOGY log(survival time)
Summary table
-------------
Step MultR Rsq F(Eqn) SigF Variable BetaIn
1 .7262 .5274 58.024 .000 In: X4 .7262
2 .8286 .6865 55.849 .000 In: X3 .4388
3 .9396 .8829 125.663 .000 In: X2 .4876
4 .9861 .9724 431.097 .000 In: X1 .4012
5 .9861 .9723 586.043 .000 Out: X4
* * * * * * * * * * * * * * * * * * * * * * * * * * * * *
Residuals Statistics:
Min Max Mean Std Dev N
*PRED 1.6042 2.8631 2.2061 .2700 54
*RESID -.1020 .1383 .0000 .0455 54
*ZPRED -2.2295 2.4334 .0000 1.0000 54
*ZRESID -2.1761 2.9508 .0000 .9713 54
Total Cases = 54
10 Dec 97 surgical unit p. 335 multiple regression Page 56
11:16:55 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - X1 Down - *RESID
Out ++-----+-----+-----+-----+-----+-----++
3 + . + Symbols:
| |
| . | Max N
2 + . . +
| . | . 1.0
| . | : 2.0
1 + . + * 4.0
| : . |
| .. : :. |
0 + . .::. .* *. +
| ::... : . . |
| . |
-1 + .. .
| . . .
| .
-2 + . +
| . |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
Standardized Scatterplot
Across - X2 Down - *RESID
Out ++-----+-----+-----+-----+-----+-----++
3 + . + Symbols:
| |
. | Max N
2 . . +
. | . 1.0
| . | : 2.0
1 + . + * 3.0
| . : |
| . :. . . . |
0 + ....* :..... .. +
| .. *.: . . . |
| . |
-1 + . . . +
| . . . |
| . |
-2 + . +
| . |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 57
11:16:55 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Standardized Scatterplot
Across - X3 Down - *RESID
Out ++-----+-----+-----+-----+-----+-----++
3 + . + Symbols:
| |
| . | Max N
2 + . . +
| . | . 1.0
| . | : 2.0
1 + . + * 3.0
| ... |
| . . .. ... |
0 + :. .:.::... .. +
| . . . . *. .. . |
| . |
-1 + . .. +
| . . . |
| . |
-2 + . +
| . |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
Standardized Scatterplot
Across - *PRED Down - *RESID
Out ++-----+-----+-----+-----+-----+-----++
3 + . + Symbols:
| |
| . | Max N
2 + . . +
| . | . 1.0
| . | : 2.0
1 + . + * 3.0
| .: |
| . . .. .. . |
0 + . : .: :*:: . +
| ..: .:.. . . |
| . |
-1 + . . . +
| : . |
| . |
-2 + . +
| . |
| |
-3 + +
Out ++-----+-----+-----+-----+-----+-----++
-3 -2 -1 0 1 2 3 Out
10 Dec 97 surgical unit p. 335 multiple regression Page 58
11:17:03 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Preceding task required .05 seconds CPU time; 13.07 seconds elapsed.
-> regression var=x1,x2,x3,x4/statistics=r/
-> dep=x1/enter/
-> dep=x2/enter/
-> dep=x3/enter/
-> dep=x4/enter.
There are 522,368 bytes of memory available.
The largest contiguous area has 520,584 bytes.
2016 bytes of memory required for REGRESSION procedure.
0 more bytes may be needed for Residuals plots.
10 Dec 97 surgical unit p. 335 multiple regression Page 59
11:17:35 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Listwise Deletion of Missing Data
Equation Number 1 Dependent Variable.. X1 blood clotting score
Block Number 1. Method: Enter
Variable(s) Entered on Step Number
1.. X4 liver function test
2.. X2 prognostic index
3.. X3 enzyme function test
Multiple R .66644
R Square .44414
Adjusted R Square .41079
Standard Error 1.23049
F = 13.31688 Signif F = .0000
End Block Number 1 All requested variables entered.
10 Dec 97 surgical unit p. 335 multiple regression Page 60
11:17:35 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 2 Dependent Variable.. X2 prognostic index
Block Number 1. Method: Enter
Variable(s) Entered on Step Number
1.. X4 liver function test
2.. X3 enzyme function test
3.. X1 blood clotting score
Multiple R .47364
R Square .22433
Adjusted R Square .17779
Standard Error 15.32647
F = 4.82026 Signif F = .0050
End Block Number 1 All requested variables entered.
10 Dec 97 surgical unit p. 335 multiple regression Page 61
11:17:35 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 3 Dependent Variable.. X3 enzyme function test
Block Number 1. Method: Enter
Variable(s) Entered on Step Number
1.. X4 liver function test
2.. X2 prognostic index
3.. X1 blood clotting score
Multiple R .63566
R Square .40406
Adjusted R Square .36831
Standard Error 16.89232
F = 11.30050 Signif F = .0000
End Block Number 1 All requested variables entered.
10 Dec 97 surgical unit p. 335 multiple regression Page 62
11:17:35 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. X4 liver function test
Block Number 1. Method: Enter
Variable(s) Entered on Step Number
1.. X3 enzyme function test
2.. X2 prognostic index
3.. X1 blood clotting score
Multiple R .78017
R Square .60866
Adjusted R Square .58518
Standard Error .68938
F = 25.92216 Signif F = .0000
End Block Number 1 All requested variables entered.
10 Dec 97 surgical unit p. 335 multiple regression Page 63
11:17:35 sigma.oac.ucla.edu IBM RS/6000 IBM AIX 3.2.
Preceding task required .01 seconds CPU time; .06 seconds elapsed.