Electronic reprint of: Zumbo, B.D. (2007). Validity: Foundational Issues and Statistical Methodology. In C.R. Rao and S. Sinharay (Eds.) Handbook of Statistics, Vol. 26: Psychometrics, (pp. 45-79). Elsevier Science B.V.: The Netherlands.

HANDBOOK OF STATISTICS, 26 Psychometrics

C.R. Rao, The Pennsylvania State University, U. S. A. Sandip Sinharay, MS and PhD in Statistics, Iowa State University, Ames, U.S.A., Educational Testing Service, Princeton, U.S.A. Contents Introduction 1. History and overview of psychometrics (L.V. Jones and D. Thissen) Some basic ideas of test theory 2. Classical test theory (C. Lewis) 3. Validity: foundational issues and statistical methodology (B.D. Zumbo) 4. Reliability and generalizability theory (N.M. Webb, R.J. Shavelson and E.H. Haertel) 5. Differential item functioning and item bias (R.D. Penfield and G. Camilli) 6. Equating test scores (P.W. Holland, N.J. Dorans and N.S. Petersen) 7. Electronic essay grading (S.J. Haberman) A variety of approaches/models to handle psychometric data 8. Some matrix results useful in psychometric research (C.R. Rao) 9. Factor Analysis (H. Yanai and M. Ichikawa) 10. Structural equation modeling (K.-H. Yuan and P.M. Bentler) 11. Applications of multidimensional scaling in psychometrics (Y. Takane) 12. Multilevel models in psychometrics (F. Steele and H. Goldstein)

13. Latent class analysis in psychometrics (C.M. Dayton and G.B. Macready) 14. Random-effects models for preference data (U. Bockenholt and R.-C. Tsai) IRT models 15. Item response theory in a general framework (R.D. Bock and I. Moustaki) 16. Rasch models (G.H. Fischer) 17. Hierarchicam item response theory models (M.S. Johnson, S. Sinharay and E.T. Bradlow) 18. Multidimensional item response theory (M.D. Reckase) 19. Mixture distribution item response models (M. von Davier and J. Rost) 20. Scoring open ended questions (G. Maris and T. Bechger) 21. Assessing the fit of item response theory models (H. Swaminathan, R.K. Hambleton and H.J. Rogers) 22. Nonparametric item response theory and special topics (K. Sijtsma and R.R. Meijer) Topics of special interst 23. Automatic item generation and cognitive psychology (S. Embretson and X. Yang) 24. Statistical inference for causal effects, with emphasis on applications in psychometrics and education (D.B. Rubin) 25. Statistical aspects of adaptive testing (W.J. van der Linden and C.A.W. Glas) 26. Bayesian Psychometric modeling from an evidence-centered design perspective (R.J. Mislevy and R. Levy) 27. Value-added modeling (H. Braun and H. Wainer) 28. Three statistical paradoxes in the interpretation of group differences: illustrated with medical school admission and licencing data (H. Wainer and L.M. Brown) 29. Meta-analysis (L.W. Hedges) 30. Vertical scaling: statistical models for measuring growth and achievement (R.J. Patz and L. Yao) 31. Cognitive Diagnosis - part I: (L.V. Dibello, L.A. Roussos and W. Stout) - part II: (S.J. Haberman and M. von Davier) Operational 32. Marginal Estimation of Populalation characteristics: recent developments and future directions (M. von Davier, S. Sinharay, A. Oranje and A. Beaton) 33. Statistical procedures used in college admissions testing (J. Liu, D.J. Harris and A. Schmidt) 34. Integration of models (R.L. Brennan, D.R. Eignor, M.J. Gierl, J.P. Leighton, I. Lawrence, N. Kingston, P. Sanders and C. Schmeiser) Bibliographic & ordering Information Hardbound, 1190 pages, publication date: NOV-2006 ISBN-13: 978-0-444-52103-3 ISBN-10: 0-444-52103-8 Imprint: NORTH-HOLLAND . 050/501 Last update: 30 Nov 2006