EXST7034 - Bodyfat Example,
NKNW Table 7.1
Obs
Run rep X1
X2 X3
Y SUBJECT
1
1 1 29.8
54.3 31.1 20.1
4
2
1 2 30.7
51.9 37.0 18.7
3
3
1 3 27.7
55.3 25.7 22.6
17
4
1 4 19.5
43.1 29.1 11.9
1
5
1 5 30.2
58.6 24.6 25.4
18
6
1 6 19.5
43.1 29.1 11.9
1
7
1 7 24.7
49.8 28.2 22.8
2
8
1 8 27.9
52.1 30.6 25.4
8
9
1 9 29.8
54.3 31.1 20.1
4
10
1 10 25.6 53.9
23.7 21.7 6
11
1 11 30.7 51.9
37.0 18.7 3
12
1 12 27.7 55.3
25.7 22.6 17
13
1 13 30.2 58.6
24.6 25.4 18
14
1 14 25.5 53.5
24.8 19.3 10
15
1 15 27.7 55.3
25.7 22.6 17
16
1 16 29.8 54.3
31.1 20.1 4
17
1 17 30.4 56.7
28.3 27.2 12
18
1 18 22.7 48.2
27.1 14.8 19
19
1 19 24.7 49.8
28.2 22.8 2
20
1 20 24.7 49.8
28.2 22.8 2
21
2 1 27.9
52.1 30.6 25.4
8
22
2 2 30.4
56.7 28.3 27.2
12
23
2 3 14.6
42.7 21.3 12.8
15
24
2 4 31.1
56.6 30.0 25.4
11
25
2 5 30.2
58.6 24.6 25.4
18
26
2 6 25.2
51.0 27.5 21.1
20
27
2 7 29.5
54.4 30.1 23.9
16
28
2 8 30.7
51.9 37.0 18.7
3
29
2 9 30.7
51.9 37.0 18.7
3
30
2 10 22.7 48.2
27.1 14.8 19
31
2 11 29.5 54.4
30.1 23.9 16
32
2 12 22.1 49.9
23.2 21.3 9
33
2 13 27.9 52.1
30.6 25.4 8
34
2 14 29.5 54.4
30.1 23.9 16
35
2 15 19.1 42.2
30.9 12.9 5
36
2 16 27.9 52.1
30.6 25.4 8
37
2 17 22.1 49.9
23.2 21.3 9
38
2 18 27.9 52.1
30.6 25.4 8
39
2 19 19.7 44.2
28.6 17.8 14
40
2 20 31.1 56.6
30.0 25.4 11
53
PROC SORT DATA=BOOTS; BY run rep; run;
NOTE: There were 1000 observations
read from the data set WORK.BOOTS.
NOTE: The data set WORK.BOOTS
has 1000 observations and 7 variables.
NOTE: PROCEDURE SORT used:
real time 0.00
seconds
54
55
PROC REG DATA=one; TITLE2 'Ordinary Regression';
56
MODEL Y = X1 X2 X3 / vif collin;
57
RUN;
NOTE: 20 observations read.
NOTE: 20 observations used
in computations.
58
NOTE: The PROCEDURE REG printed
page 5.
NOTE: PROCEDURE REG used:
real time 0.10
seconds
EXST7034 - Bodyfat Example,
NKNW Table 7.1
Ordinary Regression
The REG Procedure
Model: MODEL1
Dependent Variable: Y Body
Fat
Analysis of Variance
Sum of Mean
Source
DF Squares
Square F Value Pr > F
Model
3 396.98461
132.32820 21.52 <.0001
Error
16 98.40489
6.15031
Corrected Total
19 495.38950
Root MSE
2.47998 R-Square 0.8014
Dependent Mean
20.19500 Adj R-Sq 0.7641
Coeff Var
12.28017
Parameter Estimates
Parameter Standard
Variance
Variable Label
DF Estimate
Error t Value Pr > |t| Inflation
Intercept Intercept
1 117.08469 99.78240
1.17 0.2578
0
X1
Triceps skinfold thickness 1
4.33409 3.01551 1.44
0.1699 708.84291
X2
Thigh circumference
1 -2.85685 2.58202
-1.11 0.2849 564.34339
X3
Midarm circumference 1
-2.18606 1.59550 -1.37
0.1896 104.60601
Collinearity Diagnostics
Condition -----------------Proportion of Variation----------------
Number
Eigenvalue Index
Intercept
X1
X2
X3
1 3.96796
1.00000 0.00000195 0.00000320
0.00000110 0.00000980
2 0.02052
13.90482 0.00037152
0.00132 0.00003262
0.00139
3 0.01151
18.56570 0.00059915 0.00021875
0.00032550 0.00693
4 0.00000865 677.37207
0.99903 0.99846
0.99964 0.99167
59
PROC REG DATA=boots outest=BVALUES NOPRINT; by run;
60
TITLE2 'Bootstrap regression';
61
MODEL Y = X1 X2 X3;
62
RUN;
NOTE: 20 observations read.
NOTE: 20 observations used
in computations.
NOTE: The above message was
for the following by-group:
Run=1
NOTE: 20 observations read.
NOTE: 20 observations used
in computations.
NOTE: The above message was
for the following by-group:
Run=2
NOTE: 20 observations read.
NOTE: 20 observations used
in computations.
NOTE: The above message was
for the following by-group:
Run=3
. . .
NOTE: 20 observations read.
NOTE: 20 observations used
in computations.
NOTE: The above message was
for the following by-group:
Run=50
NOTE: Interactivity disabled
with BY processing.
NOTE: PROCEDURE REG used:
real time 0.04
seconds
NOTE: The data set WORK.BVALUES
has 50 observations and 10 variables.
63
proc sort data=BVALUES; by x1 x2 x3; run;
NOTE: There were 50 observations
read from the data set WORK.BVALUES.
NOTE: The data set WORK.BVALUES
has 50 observations and 10 variables.
NOTE: PROCEDURE SORT used:
real time 0.00
seconds
64
proc print data=BVALUES; run;
NOTE: There were 50 observations
read from the data set WORK.BVALUES.
NOTE: The PROCEDURE PRINT
printed page 6.
NOTE: PROCEDURE PRINT used:
real time 0.00
seconds
EXST7034 - Bodyfat Example,
NKNW Table 7.1
Bootstrap regression
Obs Run
_MODEL_ _TYPE_ _DEPVAR_ _RMSE_
Intercept X1
X2 X3
Y
1
45 MODEL1 PARMS
Y 2.02826 -86.069
-2.2746 2.69354 0.96798
-1
2
3 MODEL1 PARMS
Y 2.57250 -93.869
-1.8845 2.47138 1.27658
-1
3
11 MODEL1 PARMS
Y 2.55378 -83.508
-1.6238 2.18801 1.20208
-1
4
6 MODEL1 PARMS
Y 2.58466 -68.778
-1.3964 2.00652 0.75932
-1
5
50 MODEL1 PARMS
Y 2.47264 -69.455
-1.1752 1.73600 1.12700
-1
6
38 MODEL1 PARMS
Y 2.29334 -37.944
-0.5274 1.30906 0.17175
-1
7
49 MODEL1 PARMS
Y 2.17482 -54.870
-0.4746 1.36310 0.62290
-1
8
29 MODEL1 PARMS
Y 1.71841 -10.626
0.2922 0.60947 -0.29663 -1
9
44 MODEL1 PARMS
Y 2.40471
6.600 1.2401 -0.17689 -0.28207
-1
10
35 MODEL1 PARMS
Y 1.84837
26.990 1.4657 -0.37080
-0.89895 -1
11
32 MODEL1 PARMS
Y 2.70628
24.093 1.4936 -0.42727
-0.69926 -1
12
16 MODEL1 PARMS
Y 2.42875
28.031 1.6422 -0.64958
-0.58204 -1
13
40 MODEL1 PARMS
Y 2.10121
38.661 1.7080 -0.64762
-1.02238 -1
14
17 MODEL1 PARMS
Y 2.84546
40.393 2.0076 -0.88047
-0.95489 -1
15
15 MODEL1 PARMS
Y 2.31671
45.586 2.1730 -0.95736
-1.12663 -1
16
27 MODEL1 PARMS
Y 1.88707
58.810 2.4313 -1.25808
-1.28893 -1
17
47 MODEL1 PARMS
Y 2.10667
39.182 2.4336 -1.15205
-0.77021 -1
18
46 MODEL1 PARMS
Y 2.19939
53.957 2.5141 -1.38110
-0.95129 -1
19
28 MODEL1 PARMS
Y 1.93668
69.801 2.9387 -1.71871
-1.29085 -1
20
23 MODEL1 PARMS
Y 2.42737
81.924 3.2264 -1.90584
-1.67519 -1
21
48 MODEL1 PARMS
Y 2.41676
91.942 3.7038 -2.24583
-1.83223 -1
22
18 MODEL1 PARMS
Y 2.10993 102.046
3.7187 -2.41609 -1.88916 -1
23
25 MODEL1 PARMS
Y 2.15277
98.314 3.7342 -2.31042
-1.98330 -1
24
7 MODEL1 PARMS
Y 1.85771
92.992 3.7852 -2.28726
-1.87444 -1
25
13 MODEL1 PARMS
Y 2.32050 127.377
4.6226 -3.36044 -1.85601 -1
26
26 MODEL1 PARMS
Y 2.37111 133.914
4.7175 -3.18471 -2.52731 -1
27
22 MODEL1 PARMS
Y 1.94202 131.030
4.9349 -3.16099 -2.71435 -1
28
14 MODEL1 PARMS
Y 1.95453 130.200
4.9617 -3.21599 -2.60675 -1
29
36 MODEL1 PARMS
Y 2.29776 138.831
5.1255 -3.47801 -2.55601 -1
30
8 MODEL1 PARMS
Y 1.98470 147.198
5.1976 -3.59410 -2.71967 -1
31
39 MODEL1 PARMS
Y 2.58372 150.196
5.2636 -3.72834 -2.61851 -1
32
33 MODEL1 PARMS
Y 2.20953 146.101
5.3011 -3.71116 -2.51520 -1
33
19 MODEL1 PARMS
Y 1.77352 149.207
5.4396 -3.68593 -2.84126 -1
34
42 MODEL1 PARMS
Y 2.30561 157.401
5.9257 -4.02984 -2.93899 -1
35
9 MODEL1 PARMS
Y 1.85783 175.036
6.0075 -4.30338 -3.13580 -1
36
31 MODEL1 PARMS
Y 2.41120 172.321
6.1022 -4.24178 -3.21940 -1
37
21 MODEL1 PARMS
Y 2.11778 178.011
6.2960 -4.51068 -3.11575 -1
38
41 MODEL1 PARMS
Y 2.28227 179.042
6.3081 -4.46844 -3.26730 -1
39
37 MODEL1 PARMS
Y 2.10368 190.881
6.6623 -4.73044 -3.51688 -1
40
4 MODEL1 PARMS
Y 1.84715 188.573
6.8525 -4.76859 -3.59560 -1
41
34 MODEL1 PARMS
Y 1.24266 218.639
7.0207 -5.52998 -3.33280 -1
42
43 MODEL1 PARMS
Y 2.32869 203.406
7.0778 -5.18465 -3.52981 -1
43
2 MODEL1 PARMS
Y 2.14797 223.911
7.3580 -5.54262 -3.81904 -1
44
30 MODEL1 PARMS
Y 1.67673 245.073
7.9449 -6.14498 -3.99649 -1
45
12 MODEL1 PARMS
Y 2.29412 254.024
8.3006 -6.38929 -4.20551 -1
46
24 MODEL1 PARMS
Y 2.08328 249.820
8.8414 -6.41505 -4.57029 -1
47
1 MODEL1 PARMS
Y 2.25141 279.694
9.5525 -7.13374 -4.97738 -1
48
20 MODEL1 PARMS
Y 2.52198 315.426
9.9770 -7.97082 -5.07632 -1
49
5 MODEL1 PARMS
Y 1.97195 303.961
10.1455 -7.67782 -5.34358 -1
50
10 MODEL1 PARMS
Y 1.83336 365.081
12.0749 -9.32553 -6.28819 -1
65
proc univariate data=bvalues plot normal; var x1 x2 x3; run;
NOTE: The PROCEDURE UNIVARIATE
printed pages 7-9.
NOTE: PROCEDURE UNIVARIATE
used:
real time 0.00
seconds
EXST7034 - Bodyfat Example,
NKNW Table 7.1
Bootstrap regression
The UNIVARIATE Procedure
Variable: X1
(Triceps skinfold thickness)
Moments
N
50 Sum Weights
50
Mean
4.18327267 Sum Observations 209.163634
Std Deviation
3.40267416 Variance
11.5781914
Skewness
0.01136057 Kurtosis
-0.437222
Uncorrected SS
1442.31989 Corrected SS
567.331379
Coeff Variation
81.3400039 Std Error Mean
0.48121079
Basic Statistical Measures
Location
Variability
Mean
4.183273 Std Deviation
3.40267
Median 4.670047
Variance
11.57819
Mode
. Range
14.34952
Interquartile Range 4.60007
Tests for Location: Mu0=0
Test
-Statistic- -----p Value------
Student's t
t 8.693223 Pr > |t| <.0001
Sign
M 18 Pr >=
|M| <.0001
Signed Rank
S 586.5 Pr >= |S|
<.0001
Tests for Normality
Test
--Statistic--- -----p Value------
Shapiro-Wilk
W 0.984593 Pr < W
0.7540
Kolmogorov-Smirnov
D 0.07136 Pr > D
>0.1500
Cramer-von Mises
W-Sq 0.029461 Pr > W-Sq >0.2500
Anderson-Darling
A-Sq 0.206462 Pr > A-Sq >0.2500
Quantiles (Definition 5)
Quantile
Estimate
100% Max
12.074908
99%
12.074908
95%
9.977006 <== 95th percentile used in calculating confidence intervals
90%
8.571038
75% Q3
6.308094
50% Median
4.670047
25% Q1
1.708026
10%
-0.851315
5%
-1.623760 <== 5th percentile used in calculating confidence intervals
1%
-2.274612
0% Min
-2.274612
Extreme Observations
------Lowest-----
------Highest-----
Value
Obs Value
Obs
-2.27461
1 8.84144
46
-1.88453
2 9.55255
47
-1.62376
3 9.97701
48
-1.39637
4 10.14549
49
-1.17521
5 12.07491
50
Stem Leaf
# Boxplot
12 1
1 |
11
|
10 01
2 |
9 6
1 |
8 38
2 |
7 0149
4 |
6 013379
6 +-----+
5 0123349
7 | |
4 679
3 *--+--*
3 27778
5 | |
2 024459
6 | |
1 25567
5 +-----+
0 3
1 |
-0 55
2 |
-1 9642
4 |
-2 3
1 |
----+----+----+----+
Normal Probability Plot
12.5+
*+++
|
++
|
*++
9.5+
**+
|
**+
|
***
6.5+
****
|
***+
|
**+
3.5+
***
|
****
|
***
0.5+
++*
| +++**
| *+** *
-2.5+
*+++
+----+----+----+----+----+----+----+----+----+----+
-2 -1
0 +1
+2
EXST7034 - Bodyfat Example,
NKNW Table 7.1
Bootstrap regression
The UNIVARIATE Procedure
Variable: X2
(Thigh circumference)
Moments
N
50 Sum Weights
50
Mean
-2.7179113 Sum Observations -135.89557
Std Deviation
2.8926404 Variance
8.36736846
Skewness
-0.019163 Kurtosis
-0.4632498
Uncorrected SS
779.353152 Corrected SS
410.001054
Coeff Variation
-106.4288 Std Error Mean
0.40908113
Basic Statistical Measures
Location
Variability
Mean
-2.71791 Std Deviation
2.89264
Median -3.17285
Variance
8.36737
Mode
. Range
12.01907
Interquartile Range 3.86110
Tests for Location: Mu0=0
Test
-Statistic- -----p Value------
Student's t
t -6.64394 Pr > |t| <.0001
Sign
M -17 Pr >= |M|
<.0001
Signed Rank
S -513.5 Pr >= |S| <.0001
Tests for Normality
Test
--Statistic--- -----p Value------
Shapiro-Wilk
W 0.984508 Pr < W
0.7503
Kolmogorov-Smirnov
D 0.08087 Pr > D
>0.1500
Cramer-von Mises
W-Sq 0.026751 Pr > W-Sq >0.2500
Anderson-Darling
A-Sq 0.194131 Pr > A-Sq >0.2500
Quantiles (Definition 5)
Quantile
Estimate
100% Max
2.693542
99%
2.693542
95%
2.188008 <== 95th percentile used in calculating confidence intervals
90%
1.549550
75% Q3
-0.649579
50% Median
-3.172851
25% Q1
-4.510678
10%
-6.402169
5%
-7.677820 <== 5th percentile used in calculating confidence intervals
1%
-9.325527
0% Min
-9.325527
Extreme Observations
------Lowest-----
-----Highest-----
Value
Obs Value
Obs
-9.32553
50 1.73600
5
-7.97082
48 2.00652
4
-7.67782
49 2.18801
3
-7.13374
47 2.47138
2
-6.41505
46 2.69354
1
Stem Leaf
# Boxplot
2 0257
4 |
1 347
3 |
0 6
1 |
-0 966442
6 +-----+
-1 974320
6 | |
-2 4332
4 | + |
-3 777654222
9 *-----*
-4 8755320
7 +-----+
-5 552
3 |
-6 441
3 |
-7 71
2 |
-8 0
1 |
-9 3
1 |
----+----+----+----+
Normal Probability Plot
2.5+
**+*+ *
|
***+++
|
*++
|
****
|
***
|
+**
-3.5+
*****
|
*****
|
+**+
| +***
| *+**
| +++
-9.5++++*
+----+----+----+----+----+----+----+----+----+----+
-2 -1
0 +1
+2
EXST7034 - Bodyfat
Example, NKNW Table 7.1
Bootstrap regression
The UNIVARIATE Procedure
Variable: X3
(Midarm circumference)
Moments
N
50 Sum Weights
50
Mean
-2.0835004 Sum Observations -104.17502
Std Deviation
1.81430845 Variance
3.29171514
Skewness
0.00238801 Kurtosis
-0.4188596
Uncorrected SS
378.342743 Corrected SS
161.294042
Coeff Variation
-87.079821 Std Error Mean
0.25658196
Basic Statistical Measures
Location
Variability
Mean
-2.08350 Std Deviation
1.81431
Median -2.24925
Variance
3.29172
Mode
. Range
7.56477
Interquartile Range 2.36835
Tests for Location: Mu0=0
Test
-Statistic- -----p Value------
Student's t
t -8.12021 Pr > |t| <.0001
Sign
M -18 Pr >= |M|
<.0001
Signed Rank
S -564.5 Pr >= |S| <.0001
Tests for Normality
Test
--Statistic--- -----p Value------
Shapiro-Wilk
W 0.982552 Pr < W
0.6634
Kolmogorov-Smirnov
D 0.094037 Pr > D
>0.1500
Cramer-von Mises
W-Sq 0.03496 Pr > W-Sq >0.2500
Anderson-Darling
A-Sq 0.235474 Pr > A-Sq >0.2500
Quantiles (Definition 5)
Quantile
Estimate
100% Max
1.276578
99%
1.276578
95%
1.127003 <== 95th percentile used in calculating confidence intervals
90%
0.691110
75% Q3
-0.898947
50% Median
-2.249251
25% Q1
-3.267301
10%
-4.387901
5%
-5.076321 <== 5th percentile used in calculating confidence intervals
1%
-6.288195
0% Min
-6.288195
Extreme Observations
------Lowest-----
------Highest-----
Value
Obs Value
Obs
-6.28819
50 0.759323
4
-5.34358
49 0.967975
1
-5.07632
48 1.127003
5
-4.97738
47 1.202083
3
-4.57029
46 1.276578
2
Stem Leaf
# Boxplot
1 0123
4 |
0 68
2 |
0 2
1 |
-0 33
2 |
-0 9876
4 +-----+
-1 331000
6 | |
-1 99987
5 | |
-2 0
1 *--+--*
-2 987766655
9 | |
-3 33211
5 +-----+
-3 8655
4 |
-4 20
2 |
-4 6
1 |
-5 310
3 |
-5
|
-6 3
1 |
----+----+----+----+
Normal Probability Plot
1.25+
*+*+ *
|
** *+
|
*+++
-0.25+
**+
|
****
|
***
-1.75+
****
|
+++
|
+*****
-3.25+
***
|
****
| +*+
-4.75+
+*+*
| *+*
| +++
-6.25+ ++*
+----+----+----+----+----+----+----+----+----+----+
-2 -1
0 +1
+2
68
*******************************************;
69
*** Ridge Regression section
***;
70
*******************************************;
71
72
PROC REG DATA=ONE outest=ridge1 outvif; TITLE2 'Ridge Regression';
73
MODEL Y = X1 X2 X3 / ridge= 0.00 to 0.10 by 0.005;
74
output out=next1 r=e p=yhat;
75
RUN;
NOTE: 20 observations read.
NOTE: 20 observations used
in computations.
NOTE: The data set WORK.RIDGE1
has 43 observations and 11 variables.
NOTE: The data set WORK.NEXT1
has 20 observations and 7 variables.
NOTE: The PROCEDURE REG printed
page 10.
NOTE: PROCEDURE REG used:
real time 0.05
seconds
76
proc print data=ridge1; run;
NOTE: There were 43 observations
read from the data set WORK.RIDGE1.
NOTE: The PROCEDURE PRINT
printed page 11.
NOTE: PROCEDURE PRINT used:
real time 0.00
seconds
EXST7034 - Bodyfat Example,
NKNW Table 7.1
Ridge Regression
The REG Procedure
Model: MODEL1
Dependent Variable: Y Body
Fat
Analysis of Variance
Sum of Mean
Source
DF Squares
Square F Value Pr > F
Model
3 396.98461
132.32820 21.52 <.0001
Error
16 98.40489
6.15031
Corrected Total
19 495.38950
Root MSE
2.47998 R-Square 0.8014
Dependent Mean
20.19500 Adj R-Sq 0.7641
Coeff Var
12.28017
Parameter Estimates
Parameter Standard
Variable
Label
DF Estimate
Error t Value Pr > |t|
Intercept
Intercept
1 117.08469
99.78240 1.17
0.2578
X1
Triceps skinfold thickness 1
4.33409 3.01551
1.44 0.1699
X2
Thigh circumference
1 -2.85685
2.58202 -1.11
0.2849
X3
Midarm circumference
1 -2.18606
1.59550 -1.37
0.1896
78
data ridgeK ridgeV; set ridge1;
79
if _type_ eq 'PARMS' then delete;
80
if _type_ eq 'RIDGE' then output ridgeK;
81
if _type_ eq 'RIDGEVIF' then output ridgeV;
82
run;
NOTE: There were 43 observations
read from the data set WORK.RIDGE1.
NOTE: The data set WORK.RIDGEK
has 21 observations and 11 variables.
NOTE: The data set WORK.RIDGEV
has 21 observations and 11 variables.
NOTE: DATA statement used:
real time 0.04
seconds
EXST7034 - Bodyfat Example,
NKNW Table 7.1
Ridge Regression
Obs _MODEL_ _TYPE_
_DEPVAR_ _RIDGE_ _PCOMIT_ _RMSE_ Intercept
X1 X2
X3 Y
1 MODEL1 PARMS
Y .
. 2.47998 117.085 4.334
-2.857 -2.186 -1
2 MODEL1 RIDGEVIF
Y 0.000 .
. .
708.843 564.343 104.606 -1
3 MODEL1 RIDGE
Y 0.000 .
2.47998 117.085 4.334 -2.857
-2.186 -1
4 MODEL1 RIDGEVIF
Y 0.005 .
. .
11.643 9.476 2.580 -1
5 MODEL1 RIDGE
Y 0.005 .
2.57755 4.268 0.918
0.065 -0.385 -1
6 MODEL1 RIDGEVIF
Y 0.010 .
. .
3.486 2.981 1.377 -1
7 MODEL1 RIDGE
Y 0.010 .
2.59104 -3.312 0.685 0.262
-0.262 -1
8 MODEL1 RIDGEVIF
Y 0.015 .
. .
1.745 1.594 1.113 -1
9 MODEL1 RIDGE
Y 0.015 .
2.59630 -6.029 0.600 0.332
-0.216 -1
10 MODEL1 RIDGEVIF
Y 0.020 .
. .
1.103 1.081 1.011 -1
11 MODEL1 RIDGE
Y 0.020 .
2.59924 -7.403 0.555 0.368
-0.192 -1
12 MODEL1 RIDGEVIF
Y 0.025 .
. .
0.796 0.834 0.957 -1
13 MODEL1 RIDGE
Y 0.025 .
2.60122 -8.218 0.528 0.389
-0.176 -1
14 MODEL1 RIDGEVIF
Y 0.030 .
. .
0.626 0.697 0.923 -1
15 MODEL1 RIDGE
Y 0.030 .
2.60276 -8.746 0.509 0.403
-0.165 -1
16 MODEL1 RIDGEVIF
Y 0.035 .
. .
0.521 0.612 0.900 -1
17 MODEL1 RIDGE
Y 0.035 .
2.60405 -9.107 0.495 0.413
-0.157 -1
18 MODEL1 RIDGEVIF
Y 0.040 .
. .
0.453 0.555 0.881 -1
19 MODEL1 RIDGE
Y 0.040 .
2.60522 -9.364 0.484 0.420
-0.151 -1
20 MODEL1 RIDGEVIF
Y 0.045 .
. .
0.405 0.515 0.866 -1
21 MODEL1 RIDGE
Y 0.045 .
2.60632 -9.550 0.475 0.425
-0.145 -1
22 MODEL1 RIDGEVIF
Y 0.050 .
. .
0.370 0.486 0.853 -1
23 MODEL1 RIDGE
Y 0.050 .
2.60740 -9.687 0.468 0.428
-0.141 -1
24 MODEL1 RIDGEVIF
Y 0.055 .
. .
0.344 0.463 0.841 -1
25 MODEL1 RIDGE
Y 0.055 .
2.60847 -9.788 0.462 0.431
-0.137 -1
26 MODEL1 RIDGEVIF
Y 0.060 .
. .
0.324 0.445 0.831 -1
27 MODEL1 RIDGE
Y 0.060 .
2.60956 -9.862 0.457 0.433
-0.133 -1
28 MODEL1 RIDGEVIF
Y 0.065 .
. .
0.308 0.431 0.821 -1
29 MODEL1 RIDGE
Y 0.065 .
2.61066 -9.915 0.452 0.435
-0.130 -1
30 MODEL1 RIDGEVIF
Y 0.070 .
. .
0.296 0.419 0.811 -1
31 MODEL1 RIDGE
Y 0.070 .
2.61180 -9.951 0.448 0.436
-0.127 -1
32 MODEL1 RIDGEVIF
Y 0.075 .
. .
0.285 0.409 0.802 -1
33 MODEL1 RIDGE
Y 0.075 .
2.61297 -9.974 0.445 0.437
-0.125 -1
34 MODEL1 RIDGEVIF
Y 0.080 .
. .
0.276 0.400 0.793 -1
35 MODEL1 RIDGE
Y 0.080 .
2.61418 -9.987 0.441 0.438
-0.122 -1
36 MODEL1 RIDGEVIF
Y 0.085 .
. .
0.269 0.392 0.785 -1
37 MODEL1 RIDGE
Y 0.085 .
2.61542 -9.991 0.438 0.438
-0.120 -1
38 MODEL1 RIDGEVIF
Y 0.090 .
. .
0.262 0.385 0.777 -1
39 MODEL1 RIDGE
Y 0.090 .
2.61671 -9.987 0.435 0.438
-0.118 -1
40 MODEL1 RIDGEVIF
Y 0.095 .
. .
0.257 0.379 0.769 -1
41 MODEL1 RIDGE
Y 0.095 .
2.61804 -9.978 0.433 0.438
-0.116 -1
42 MODEL1 RIDGEVIF
Y 0.100 .
. .
0.252 0.373 0.761 -1
43 MODEL1 RIDGE
Y 0.100 .
2.61942 -9.963 0.430 0.438
-0.114 -1
83
data ridgev; set ridgev; vx1=x1; vx2=x2; vx3=x3;
84
drop x1 x2 x3;
85
run;
NOTE: There were 21 observations
read from the data set WORK.RIDGEV.
NOTE: The data set WORK.RIDGEV
has 21 observations and 11 variables.
NOTE: DATA statement used:
real time 0.05
seconds
86
data combo; merge ridgek ridgev; by _ridge_; run;
NOTE: There were 21 observations
read from the data set WORK.RIDGEK.
NOTE: There were 21 observations
read from the data set WORK.RIDGEV.
NOTE: The data set WORK.COMBO
has 21 observations and 14 variables.
NOTE: DATA statement used:
real time 0.00
seconds
87
proc print data=combo; run;
NOTE: There were 21 observations
read from the data set WORK.COMBO.
NOTE: The PROCEDURE PRINT
printed page 12.
NOTE: PROCEDURE PRINT used:
real time 0.00
seconds
EXST7034 - Bodyfat Example,
NKNW Table 7.1
Ridge Regression
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