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Hemophilia data
The data set (and description) can be downloaded here:
http://cran.r-project.org/web/packages/rrcov/
Description:
Hemophilia Data
Description
The hemophilia data set contains two measured variables on 75 women, belonging
to two groups: n1=30 of them are non-carriers (normal group) and n2=45 are
known hemophilia A carriers (obligatory carriers).
Usage
data(hemophilia)
Format
A data frame with 75 observations on the following 3 variables.
AHFactivity
AHF activity
AHFantigen
AHF antigen
gr
group - normal or obligatory carrier
Details
Originally analized in the context of discriminant analysis by
Habemma and Hermans (1974). The objective is to find a procedure for detecting
potential hemophilia A carriers on the basis of two measured variables:
X1=log10(AHV activity) and X2=log10(AHV-like antigen). The first group of
n1=30 women consists of known non-carriers (normal group) and the second group
of n2=45 women is selected from known hemophilia A carriers (obligatory
carriers). This data set was also analyzed by Johnson and Wichern (1998) as
well as, in the context of robust Linear Discriminant Analysis by
Hawkins and McLachlan (1997) and Hubert and Van Driessen (2004).
Source
Habemma, J.D.F, Hermans, J. and van den Broek, K. (1974) Stepwise
Discriminant Analysis Program Using Density Estimation in Proceedings in
Computational statistics, COMPSTAT`1974 (Physica Verlag, Heidelberg, 1974,
pp 101-110).
References
Johnson, R.A. and Wichern, D. W. Applied Multivariate Statistical Analysis
(Prentice Hall, International Editions, 2002, fifth edition)
Hawkins, D. M. and McLachlan, G.J. (1997) High-Breakdown Linear Discriminant
Analysis J. Amer. Statist. Assoc. 92 136-143.
Hubert, M., Van Driessen, K. (2004) Fast and robust discriminant analysis,
Computational Statistics and Data Analysis, 45 301-320.
Descriptive statistics:
Dataset= hemophilia : n= 75 , d= 2
Class1: n= 30
Covariance matrix:
[,1] [,2]
[1,] 0.0209 0.0155
[2,] 0.0155 0.0179
Correlation matrix:
[,1] [,2]
[1,] 1.0000 0.8017
[2,] 0.8017 1.0000
Median: -0.1269 -0.0681
Mean: -0.1349 -0.0779
MCD-estimated:
MDC-0.975-Mean: -0.1292 -0.0603
MDC-0.750-Mean: -0.1292 -0.0603
MDC-0.500-Mean: -0.1292 -0.0603
Class2: n= 45
Covariance matrix:
[,1] [,2]
[1,] 0.0238 0.0154
[2,] 0.0154 0.0240
Correlation matrix:
[,1] [,2]
[1,] 1.0000 0.6431
[2,] 0.6431 1.0000
Median: -0.3049 -0.0018
Mean: -0.3079 -0.006
MCD-estimated:
MDC-0.975-Mean: -0.3079 -0.006
MDC-0.750-Mean: -0.3079 -0.006
MDC-0.500-Mean: -0.3079 -0.006
Measures:
Mah.Dist: 2.1388
Mah.Dist-MCD-0.975: 2.0689
Mah.Dist-MCD-0.750: 2.0689
Mah.Dist-MCD-0.500: 2.0689
All the MCD estimates have been obtained after a slight perturbation of the data set
Zuletzt geändert am 17.02.2013
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