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R

The R project for statistical computing

Freeware

The R Project for statistical computing

Software scripts and links

An introduction to psychometric theory with applications in R from the R Core Team

Psychometrics in R Journal of Statistical Software
 
Psychometric Models and Methods Patrick Mair & Reinhold Hatzinger, The Comprehensive R Archive Network (CRAN) 

Statistics for the Social Sciences John Fox, the Comprehensive R Archive Network (CRAN)

Multivariate Statistics  Paul Hewson, the Comprehensive R Archive Network (CRAN)