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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

 

CrabsO (M vs F) data


The data set (and description) can be downloaded here:
http://stat.ethz.ch/Teaching/Datasets/crabs.dat


Description:

TITLE              : crabs
KEYWORDS (statist) : discriminant analysis
APPLICATION AREA   : biology, zoology, environment

SHORT DESCRIPTION  :
                     Leptograpsus crabs
                     Data from Campbell & Mahon (1974) on the morphology of
                     rock crabs of genus Leptograpsus. There are 50 specimens
                     of each sex of each of two colour forms.
                     Variables are:
                      - colour form (B = blue form, O = orange form);
                      - sex (M = male, F = female);
                      - index within each group of 50;
                      - frontal lip of carapace, in mm;
                      - rear width of carapace, in mm;
                      - length along the midline of carapace, in mm;
                      - maximum width of carapace, in mm;
                      - body depth, in mm.

DIM.(VAR./OBS.)    : 5 / 200

/ LITERATURE       :  /

                     Ripley (1996): Pattern Recognition and Neural Networks.


Descriptive statistics:

Dataset= crabO_MvsF : n= 100 , d= 5 


Class1: n= 50 

Covariance matrix:
        [,1]    [,2]    [,3]    [,4]    [,5]
[1,] 12.3550  7.5982 26.6189 29.3146 12.3245
[2,]  7.5982  4.8208 16.5342 18.2342  7.6471
[3,] 26.6189 16.5342 57.9305 63.7723 26.7634
[4,] 29.3146 18.2342 63.7723 70.3484 29.4883
[5,] 12.3245  7.6471 26.7634 29.4883 12.4410

Correlation matrix:
       [,1]   [,2]   [,3]   [,4]   [,5]
[1,] 1.0000 0.9845 0.9950 0.9943 0.9941
[2,] 0.9845 1.0000 0.9894 0.9902 0.9874
[3,] 0.9950 0.9894 1.0000 0.9990 0.9969
[4,] 0.9943 0.9902 0.9990 1.0000 0.9968
[5,] 0.9941 0.9874 0.9969 0.9968 1.0000

Median:          16.4116 12.0831 33.0839 36.4237 15.0265 

Mean:            16.626  12.262  33.688  37.188  15.324 
MCD-estimated:
MDC-0.975-Mean:  16.7525 12.34   33.9625 37.505  15.4675 
MDC-0.750-Mean:  16.6854 12.2854 33.8122 37.3537 15.4244 
MDC-0.500-Mean:  16.5682 12.2295 33.5682 37.0773 15.2909 


Class2: n= 50 

Covariance matrix:
        [,1]    [,2]    [,3]    [,4]    [,5]
[1,]  8.8447  6.7255 17.1719 19.2543  8.0120
[2,]  6.7255  5.5150 13.3971 15.0458  6.2117
[3,] 17.1719 13.3971 34.0725 38.0765 15.9082
[4,] 19.2543 15.0458 38.0765 42.8007 17.7631
[5,]  8.0120  6.2117 15.9082 17.7631  7.5769

Correlation matrix:
       [,1]   [,2]   [,3]   [,4]   [,5]
[1,] 1.0000 0.9630 0.9892 0.9896 0.9787
[2,] 0.9630 1.0000 0.9773 0.9793 0.9609
[3,] 0.9892 0.9773 1.0000 0.9971 0.9901
[4,] 0.9896 0.9793 0.9971 1.0000 0.9864
[5,] 0.9787 0.9609 0.9901 0.9864 1.0000

Median:          17.9134 14.8869 34.8019 39.4915 15.703 

Mean:            17.594  14.836  34.618  39.036  15.632 
MCD-estimated:
MDC-0.975-Mean:  17.6872 14.8487 34.7333 39.141  15.6795 
MDC-0.750-Mean:  17.6872 14.8487 34.7333 39.141  15.6795 
MDC-0.500-Mean:  17.6872 14.8487 34.7333 39.141  15.6795 


Measures:
Mah.Dist:                        4.2286 
Mah.Dist-MCD-0.975:              5.5617 
Mah.Dist-MCD-0.750:              5.4848 
Mah.Dist-MCD-0.500:              5.4848 
 



 

Zuletzt geändert am 17.02.2013