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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

 

CrabsB (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= crabB_MvsF : n= 100 , d= 5 


Class1: n= 50 

Covariance matrix:
        [,1]    [,2]    [,3]    [,4]    [,5]
[1,] 10.2560  6.5431 23.2955 26.6118 10.1705
[2,]  6.5431  4.4591 15.0789 17.2604  6.5481
[3,] 23.2955 15.0789 53.4167 60.9823 23.2389
[4,] 26.6118 17.2604 60.9823 69.7809 26.5889
[5,] 10.1705  6.5481 23.2389 26.5889 10.2393

Correlation matrix:
       [,1]   [,2]   [,3]   [,4]   [,5]
[1,] 1.0000 0.9676 0.9953 0.9948 0.9925
[2,] 0.9676 1.0000 0.9770 0.9785 0.9691
[3,] 0.9953 0.9770 1.0000 0.9988 0.9937
[4,] 0.9948 0.9785 0.9988 1.0000 0.9947
[5,] 0.9925 0.9691 0.9937 0.9947 1.0000

Median:          15.0469 11.8321 32.49   37.1878 13.571 

Mean:            14.842  11.718  32.014  36.81   13.35 
MCD-estimated:
MDC-0.975-Mean:  14.4659 11.3439 31.0195 35.6024 12.8951 
MDC-0.750-Mean:  14.6091 11.4932 31.4068 36.0841 13.0795 
MDC-0.500-Mean:  14.4659 11.3439 31.0195 35.6024 12.8951 


Class2: n= 50 

Covariance matrix:
        [,1]    [,2]    [,3]    [,4]    [,5]
[1,]  6.9054  6.2789 15.4733 17.7981  7.1029
[2,]  6.2789  5.9473 14.2532 16.3893  6.5553
[3,] 15.4733 14.2532 35.0422 40.2104 16.1379
[4,] 17.7981 16.3893 40.2104 46.2908 18.5290
[5,]  7.1029  6.5553 16.1379 18.5290  7.5761

Correlation matrix:
       [,1]   [,2]   [,3]   [,4]   [,5]
[1,] 1.0000 0.9798 0.9947 0.9955 0.9820
[2,] 0.9798 1.0000 0.9873 0.9878 0.9766
[3,] 0.9947 0.9873 1.0000 0.9984 0.9904
[4,] 0.9955 0.9878 0.9984 1.0000 0.9894
[5,] 0.9820 0.9766 0.9904 0.9894 1.0000

Median:          13.1586 12.0492 27.8601 32.293  11.5932 

Mean:            13.27   12.138  28.102  32.624  11.816 
MCD-estimated:
MDC-0.975-Mean:  12.7163 11.586  26.7977 31.1256 11.2023 
MDC-0.750-Mean:  12.7163 11.586  26.7977 31.1256 11.2023 
MDC-0.500-Mean:  12.7163 11.586  26.7977 31.1256 11.2023 


Measures:
Mah.Dist:                        3.1111 
Mah.Dist-MCD-0.975:              2.5838 
Mah.Dist-MCD-0.750:              2.5838 
Mah.Dist-MCD-0.500:              2.6081 
 



 

Zuletzt geändert am 17.02.2013