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     Uni Köln > WiSo-Fakultät > Seminar für Wirtschafts- und Sozialstatistik > Institut > LS Mosler > Prof. Mosler > Datenportal

Datenportal des Lehrstuhls für Statistik und Ökonometrie

 

Vertebral Column data


The data set (and description) can be downloaded here:
http://archive.ics.uci.edu/ml/machine-learning-databases/00212/


Description:

@relation column_2C_weka

@attribute pelvic_incidence numeric
@attribute pelvic_tilt numeric
@attribute lumbar_lordosis_angle numeric
@attribute sacral_slope numeric
@attribute pelvic_radius numeric
@attribute degree_spondylolisthesis numeric

@attribute class {Abnormal, Normal}

Citation Request:

Please refer to the repository http://archive.ics.uci.edu/ml (see citation policy).
See also Frank, A. & Asuncion, A. (2010). UCI Machine Learning Repository
[http://archive.ics.uci.edu/ml].
Irvine, CA: University of California, School of Information and Computer Science.


Descriptive statistics:

Dataset= vertebral-column : n= 310 , d= 6 


Class1: n= 210 

Covariance matrix:
         [,1]     [,2]     [,3]     [,4]     [,5]      [,6]
[1,] 311.9394 105.9087 236.1581 206.0250 -20.9393  453.9016
[2,] 105.9087 110.5790  78.8221  -4.6700  36.3767  137.0192
[3,] 236.1581  78.8221 386.8685 157.3297  19.0751  397.3477
[4,] 206.0250  -4.6700 157.3297 210.6891 -57.3146  316.8820
[5,] -20.9393  36.3767  19.0751 -57.3146 198.5553   83.9594
[6,] 453.9016 137.0192 397.3477 316.8820  83.9594 1656.2245

Correlation matrix:
        [,1]    [,2]   [,3]    [,4]    [,5]   [,6]
[1,]  1.0000  0.5702 0.6798  0.8036 -0.0841 0.6315
[2,]  0.5702  1.0000 0.3811 -0.0306  0.2455 0.3202
[3,]  0.6798  0.3811 1.0000  0.5511  0.0688 0.4964
[4,]  0.8036 -0.0306 0.5511  1.0000 -0.2802 0.5364
[5,] -0.0841  0.2455 0.0688 -0.2802  1.0000 0.1464
[6,]  0.6315  0.3202 0.4964  0.5364  0.1464 1.0000

Median:          64.3361 17.9956 55.6033 46.341  113.3116 32.9088 

Mean:            64.6921 19.791  55.9252 44.9015 115.0774 37.7776 
MCD-estimated:
MDC-0.975-Mean:  65.2391 19.8373 56.7641 45.4018 115.2113 38.441 
MDC-0.750-Mean:  64.6921 19.791  55.9252 44.9015 115.0774 37.7776 
MDC-0.500-Mean:  65.2391 19.8373 56.7641 45.4018 115.2113 38.441 


Class2: n= 100 

Covariance matrix:
         [,1]     [,2]     [,3]     [,4]     [,5]    [,6]
[1,] 152.9650  53.1515 107.1944  99.8139 -54.6642 15.6189
[2,]  53.1515  45.9502  25.3629   7.1993 -21.1770  7.7775
[3,] 107.1944  25.3629 152.8087  81.8374 -27.5706 20.3356
[4,]  99.8139   7.1993  81.8374  92.6171 -33.4884  7.8483
[5,] -54.6642 -21.1770 -27.5706 -33.4884  81.2478 -3.3084
[6,]  15.6189   7.7775  20.3356   7.8483  -3.3084 39.7785

Correlation matrix:
        [,1]    [,2]    [,3]    [,4]    [,5]    [,6]
[1,]  1.0000  0.6340  0.7011  0.8386 -0.4903  0.2002
[2,]  0.6340  1.0000  0.3027  0.1104 -0.3466  0.1819
[3,]  0.7011  0.3027  1.0000  0.6879 -0.2474  0.2608
[4,]  0.8386  0.1104  0.6879  1.0000 -0.3860  0.1293
[5,] -0.4903 -0.3466 -0.2474 -0.3860  1.0000 -0.0582
[6,]  0.2002  0.1819  0.2608  0.1293 -0.0582  1.0000

Median:          50.2138 12.3951 41.9529 37.819  124.0508 1.7519 

Mean:            51.6856 12.8218 43.5423 38.8638 123.8912 2.187 
MCD-estimated:
MDC-0.975-Mean:  50.5903 12.7383 42.1598 37.852  124.8966 1.3558 
MDC-0.750-Mean:  51.6856 12.8218 43.5423 38.8638 123.8912 2.187 
MDC-0.500-Mean:  50.5903 12.7383 42.1598 37.852  124.8966 1.3558 


Measures:
Mah.Dist:                        1.5358 
Mah.Dist-MCD-0.975:              1.1055 
Mah.Dist-MCD-0.750:              1.1055 
Mah.Dist-MCD-0.500:              1.1609 
 
All the MCD estimates have been obtained after a slight perturbation of the data set




 

Zuletzt geändert am 17.02.2013