Hemophilia Data
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).
data(hemophilia)
A data frame with 75 observations on the following 3 variables.
AHFactivityAHF activity
AHFantigenAHF antigen
grgroup - normal or obligatory carrier
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).
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).
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.
data(hemophilia) plot(AHFantigen~AHFactivity, data=hemophilia, col=as.numeric(as.factor(gr))+1) ## ## Compute robust location and covariance matrix and ## plot the tolerance ellipses (mcd <- CovMcd(hemophilia[,1:2])) col <- ifelse(hemophilia$gr == "carrier", 2, 3) ## define clours for the groups plot(mcd, which="tolEllipsePlot", class=TRUE, col=col)
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