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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

 

Crabs (B vs O) 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= crab_BvsO : n= 200 , d= 5 


Class1: n= 100 

Covariance matrix:
        [,1]    [,2]    [,3]    [,4]    [,5]
[1,]  9.1180  6.1795 20.7416 23.6424  9.1584
[2,]  6.1795  5.1952 14.1030 16.2109  6.3228
[3,] 20.7416 14.1030 47.6473 54.2205 21.0049
[4,] 23.6424 16.2109 54.2205 61.8746 23.9526
[5,]  9.1584  6.3228 21.0049 23.9526  9.4119

Correlation matrix:
       [,1]   [,2]   [,3]   [,4]   [,5]
[1,] 1.0000 0.8979 0.9951 0.9954 0.9886
[2,] 0.8979 1.0000 0.8964 0.9042 0.9042
[3,] 0.9951 0.8964 1.0000 0.9986 0.9919
[4,] 0.9954 0.9042 0.9986 1.0000 0.9926
[5,] 0.9886 0.9042 0.9919 0.9926 1.0000

Median:          14.2256 12.1822 30.2594 34.9459 12.6491 

Mean:            14.056  11.928  30.058  34.717  12.583 
MCD-estimated:
MDC-0.975-Mean:  13.4902 11.4549 28.7098 33.161  11.989 
MDC-0.750-Mean:  13.32   11.3813 28.2938 32.6938 11.8025 
MDC-0.500-Mean:  13.3687 11.394  28.4434 32.853  11.8506 


Class2: n= 100 

Covariance matrix:
        [,1]    [,2]    [,3]    [,4]    [,5]
[1,] 10.7294  7.7187 21.9016 24.4909 10.1408
[2,]  7.7187  6.7888 15.4190 17.6731  7.0596
[3,] 21.9016 15.4190 45.7552 50.8440 21.1926
[4,] 24.4909 17.6731 50.8440 56.8655 23.5308
[5,] 10.1408  7.0596 21.1926 23.5308  9.9318

Correlation matrix:
       [,1]   [,2]   [,3]   [,4]   [,5]
[1,] 1.0000 0.9044 0.9885 0.9915 0.9824
[2,] 0.9044 1.0000 0.8749 0.8995 0.8597
[3,] 0.9885 0.8749 1.0000 0.9968 0.9941
[4,] 0.9915 0.8995 0.9968 1.0000 0.9901
[5,] 0.9824 0.8597 0.9941 0.9901 1.0000

Median:          17.4353 13.8267 34.5164 38.6957 15.631 

Mean:            17.11   13.549  34.153  38.112  15.478 
MCD-estimated:
MDC-0.975-Mean:  16.5826 13.014  33.2174 37.0488 15.0407 
MDC-0.750-Mean:  16.5718 13.0259 33.2035 37.0459 15.0376 
MDC-0.500-Mean:  16.5826 13.014  33.2174 37.0488 15.0407 


Measures:
Mah.Dist:                        5.2224 
Mah.Dist-MCD-0.975:              5.026 
Mah.Dist-MCD-0.750:              5.0147 
Mah.Dist-MCD-0.500:              5.0349 
 



 

Zuletzt geändert am 17.02.2013