Applied Psychometrics

Books and software

Software
Mplus (Muthen & Muthen) http://www.statmodel.com/
R statistical computing (R Development Core Team) http://www.r-project.org/
DIFAS (Randall Penfield) http://www.education.miami.edu/facultysites/penfield/
IRTscore (Flora & Thissen) [download here]

Recommended books
Bartholomew, D. J., Knott, M., & Moustaki, I. (2011). Latent variable models and factor analysis: A unified approach. Wiley.

Bollen, K. A. (1989). Structural equations with latent variables. Wiley.

De Ayala, R. J. (2009). The theory and practice of item response theory. Guilford Press.

Embretson, S. E., & Reise, S. P. (2000). Item response theory for psychologists. Lawrence Erlbaum Associates.

Hambleton, R. K., Swaminathan, H., & Rogers, H. (1991). Fundamentals of item response theory. Sage Publications.

Kaplan, D. (2000). Structural equation modeling: Foundations and extensions. Sage Publications.

Mellenbergh, G. J. (2011). A conceptual introduction to psychometrics: development, analysis and application of psychological and educational tests. Eleven International Publishing.

McDonald, R. P. (1999). Test theory: A unified treatment. Lawrence Erlbaum Associates.

Van der Linden, W. & Hambleton, R. eds. (1997). Handbook of modern Item Response Theory. Springer.

Van de Vijver, F. J., & Leung, K. (1997). Methods and data analysis for cross-cultural research. Sage Publications.