What do you mean by 'lenght'? It is part of the definition that the coefficient vector has Euclidean length one: a principal component is a projection. See for example MASS p.302.

I don't see anything that has length 1 in the R sense.

On Wed, 16 Jun 2010, Atte Tenkanen wrote:

Hi,

I would like to know whether there is some deeper rationale behind or is it just an established practice that the lenghts of principal components, giving for example by prcomp-function, are normalised to 1?

Best regards,

Atte Tenkanen
University of Turku, Finland
Department of Musicology
+35823335278
http://users.utu.fi/attenka/

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