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The ade4 Package - NexTag Supports Open Source Initiatives

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dudi.mix 89<br />

Details<br />

If df contains only quantitative variables, this is equivalent to a normed PCA.<br />

If df contains only factors, this is equivalent to a MCA.<br />

Ordered factors are replaced by poly(x,deg=2).<br />

This analysis generalizes the Hill and Smith method.<br />

<strong>The</strong> principal components of this analysis are centered and normed vectors maximizing the sum of<br />

the:<br />

squared correlation coefficients with quantitative variables<br />

squared multiple correlation coefficients with polynoms<br />

correlation ratios with factors.<br />

Value<br />

Returns a list of class mix and dudi (see dudi) containing also<br />

index<br />

assign<br />

cr<br />

a factor giving the type of each variable : f = factor, o = ordered, q = quantitative<br />

a factor indicating the initial variable for each column of the transformed table<br />

a data frame giving for each variable and each score:<br />

the squared correlation coefficients if it is a quantitative variable<br />

the correlation ratios if it is a factor<br />

the squared multiple correlation coefficients if it is ordered<br />

Author(s)<br />

Daniel Chessel<br />

Anne B Dufour 〈dufour@biomserv.univ-lyon1.fr〉<br />

References<br />

Hill, M. O., and A. J. E. Smith. 1976. Principal component analysis of taxonomic data with multistate<br />

discrete characters. Taxon, 25, 249-255.<br />

De Leeuw, J., J. van Rijckevorsel, and . 1980. HOMALS and PRINCALS - Some generalizations<br />

of principal components analysis. Pages 231-242 in E. Diday and Coll., editors. Data Analysis and<br />

Informatics II. Elsevier Science Publisher, North Holland, Amsterdam.<br />

Kiers, H. A. L. 1994. Simple structure in component analysis techniques for mixtures of qualitative<br />

ans quantitative variables. Psychometrika, 56, 197-212.<br />

Examples<br />

data(dunedata)<br />

dd1

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