On the asymptotic distribution of pearson's X 2 in cross-validation samples

Psychometrika

Volumn 71, Issue 3, 2006, Pages 587-592

  Joe, Harry ^a   Maydeu Olivares, Albert ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

Contingency tables; Goodness of fit; Item response theory modeling; Latent class analysis; Quadratic form statistics

Indexed keywords

EID: 33751242465     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11336-005-1284-z     Document Type: Article

References (14)

1. Agresti, A. (2002). Categorical data analysis (2nd ed.). New York: Wiley.
2. Bishop, Y.M.M., Fienberg, S.E., & Holland, P.W. (1975). Discrete multivariate analysis. Cambridge, MA: MIT Press.
3. Bock, R.D., & Lieberman, M. (1970). Fitting a response model for n dichotomously scored items. Psychomelrika, 35, 179-197.
4. Browne, M.W. (2000). Cross-validation methods. Journal of Mathematical Psychology, 44, 108-132.
5. Chernyshenko, O.S., Stark, S., Chan, K.-Y., Drasgow, F., & Williams, B. (2001). Fitting item response theory models to two personality inventories: Issues and insights. Multivariate Behavioral Research, 36, 523-562.
6. Collins, L.M., Graham, J.W., Long, J.D., & Hansen, W.B. (1994). Crossvalidation of latent class models of early substance use onset. Multivariate Behavioral Research, 29, 165-183.
7. Drasgow, F., Levine, M.V., Tsien, S., Williams, B., & Mead, A. (1995). Fitting polytomous item response theory models to multiple-choice tests. Applied Psychological Measurement, 19, 143-165.
8. Du Toit, M. (ed.) (2003). IRT from SSI. Lincolnwood, IL: Scientific Software International.
9. Koehler, K., & Larntz, K. (1980). An empirical investigation of goodness-of-fit statistics for sparse multinomials. Journal of the American Statistical Association, 75, 336-344.
10. Levine, M.V. (1984). An introduction to multilinear formula score theory. Measurement series 84-4. Champaign, IL: Model Based Measurement Laboratory.
11. Lord, P.M., & Novick, M.R. (1968). Statistical theories of mental test scores. Reading, MA: Addison-Wesley.
12. Maydeu-Olivares, A. (2005). Further empirical results on parametric vs. non-parametric IRT modeling of Likert-type personality data. Multivariate Behavioral Research, 40, 275-293.
13. Thissen, D., Chen, W.-H., & Bock, R.D. (2003). Multilog (version 7) [Computer software]. Lincolnwood, IL: Scientific-Software International.
14. Zucchini, W. (2000). An introduction to model selection. Journal of Mathematical Psychology, 44, 41-61.