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Banknoten data
The data set (and description) can be downloaded here:
http://stat.ethz.ch/Teaching/Datasets/banknoten.dat
Description:
TITLE : banknoten
KEYWORDS (statist) : multivariate, discriminant analysis
APPLICATION AREA : everyday life, economy
SHORT DESCRIPTION :
Riedwyl's data on bank notes,
100 genuine and 100 counterfeit bank notes
Explanatory variables are:
- length of the bank note;
- height of the bank note, measured on the left;
- height of the bank note, measured on the right;
- distance of inner frame to the lower border;
- distance of inner frame to the upper border;
- length of the diagonal.
SPEC. CHARACT. : Some 'outliers'
DIM.(VAR./OBS.) : 7 / 200
/ LITERATURE : /
Flury and Riedwyl (1988)
NOTES : (This file was created in 1995)
Descriptive statistics:
Dataset= banknoten : n= 200 , d= 6
Class1: n= 100
Covariance matrix:
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 0.1502 0.0580 0.0573 0.0571 0.0145 0.0055
[2,] 0.0580 0.1326 0.0859 0.0567 0.0491 -0.0431
[3,] 0.0573 0.0859 0.1263 0.0582 0.0306 -0.0238
[4,] 0.0571 0.0567 0.0582 0.4132 -0.2635 -0.0002
[5,] 0.0145 0.0491 0.0306 -0.2635 0.4212 -0.0753
[6,] 0.0055 -0.0431 -0.0238 -0.0002 -0.0753 0.1998
Correlation matrix:
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 1.0000 0.4111 0.4160 0.2293 0.0575 0.0316
[2,] 0.4111 1.0000 0.6639 0.2420 0.2076 -0.2646
[3,] 0.4160 0.6639 1.0000 0.2547 0.1329 -0.1497
[4,] 0.2293 0.2420 0.2547 1.0000 -0.6316 -0.0007
[5,] 0.0575 0.2076 0.1329 -0.6316 1.0000 -0.2596
[6,] 0.0316 -0.2646 -0.1497 -0.0007 -0.2596 1.0000
Median: 214.9668 129.9137 129.6902 8.2604 10.1898 141.5212
Mean: 214.969 129.943 129.72 8.305 10.168 141.517
MCD-estimated:
MDC-0.975-Mean: 214.9909 129.9261 129.6898 8.2227 10.2023 141.5591
MDC-0.750-Mean: 214.9977 129.9182 129.692 8.2284 10.2125 141.5489
MDC-0.500-Mean: 214.993 129.9163 129.686 8.2267 10.2 141.5593
Class2: n= 100
Covariance matrix:
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 0.1240 0.0315 0.0240 -0.1006 0.0194 0.0116
[2,] 0.0315 0.0651 0.0468 -0.0240 -0.0119 -0.0051
[3,] 0.0240 0.0468 0.0889 -0.0186 0.0001 0.0342
[4,] -0.1006 -0.0240 -0.0186 1.2813 -0.4902 0.2385
[5,] 0.0194 -0.0119 0.0001 -0.4902 0.4045 -0.0221
[6,] 0.0116 -0.0051 0.0342 0.2385 -0.0221 0.3112
Correlation matrix:
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 1.0000 0.3509 0.2285 -0.2524 0.0868 0.0589
[2,] 0.3509 1.0000 0.6149 -0.0833 -0.0735 -0.0355
[3,] 0.2285 0.6149 1.0000 -0.0550 0.0007 0.2055
[4,] -0.2524 -0.0833 -0.0550 1.0000 -0.6809 0.3777
[5,] 0.0868 -0.0735 0.0007 -0.6809 1.0000 -0.0622
[6,] 0.0589 -0.0355 0.2055 0.3777 -0.0622 1.0000
Median: 214.7982 130.278 130.1784 10.6688 11.1385 139.5366
Mean: 214.823 130.3 130.193 10.53 11.133 139.45
MCD-estimated:
MDC-0.975-Mean: 214.7679 130.2556 130.1667 10.8704 11.1074 139.6099
MDC-0.750-Mean: 214.7684 130.262 130.1785 10.9038 11.1013 139.6063
MDC-0.500-Mean: 214.7663 130.255 130.1675 10.8975 11.1 139.6025
Measures:
Mah.Dist: 6.9462
Mah.Dist-MCD-0.975: 7.88
Mah.Dist-MCD-0.750: 7.9346
Mah.Dist-MCD-0.500: 7.5434
Zuletzt geändert am 17.02.2013
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