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6 adcoord<br />

Usage<br />

adcoord(xd, clvecd, clnum=1)<br />

Arguments<br />

xd<br />

clvecd<br />

clnum<br />

the data matrix; a numerical object which c<strong>an</strong> be coerced to a matrix.<br />

integer vector of class numbers; length must equal nrow(xd).<br />

integer. Number of the homogeneous class.<br />

Details<br />

Value<br />

The square root of the homogeneous classes covari<strong>an</strong>ce matrix is inverted by use of tdecomp, which<br />

c<strong>an</strong> be expected to give reasonable results <strong>for</strong> singular within-class covari<strong>an</strong>ce matrices.<br />

List with the following components<br />

ev<br />

units<br />

proj<br />

eigenvalues in descending order.<br />

columns are coordinates of projection basis vectors. New points x c<strong>an</strong> be projected<br />

onto the projection basis vectors by x %*% units<br />

projections of xd onto units.<br />

Author(s)<br />

Christi<strong>an</strong> Hennig http://www.homepages.ucl.ac.uk/~ucakche/<br />

References<br />

Hennig, C. (2004) Asymmetric linear dimension reduction <strong>for</strong> classification. Journal of Computational<br />

<strong>an</strong>d Graphical Statistics 13, 930-945 .<br />

Hennig, C. (2005) A method <strong>for</strong> visual cluster validation. In: Weihs, C. <strong>an</strong>d Gaul, W. (eds.):<br />

Classification - The Ubiquitous Challenge. Springer, Heidelberg 2005, 153-160.<br />

See Also<br />

plotcluster <strong>for</strong> straight <strong>for</strong>ward discrimin<strong>an</strong>t plots. discrproj <strong>for</strong> alternatives. rFace <strong>for</strong> generation<br />

of the example data used below.<br />

Examples<br />

set.seed(4634)<br />

face

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