Formal relations and an empirical comparison among the bi-factor, the testlet, and a second-order multidimensional IRT model

Journal of Educational Measurement

Volumn 47, Issue 3, 2010, Pages 361-372

  Rijmen, Frank ^a  

^a EDUCATIONAL TESTING SERVICE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956756020     PISSN: 00220655     EISSN: 17453984     Source Type: Journal    
DOI: 10.1111/j.1745-3984.2010.00118.x     Document Type: Article

References (18)

1. Bradlow ET, Wainer H, Wang X. A Bayesian random effects model for testlets. Psychometrika 1999, 64:153-168.
2. Fahrmeir L, Tutz G. Multivariate statistical modelling based on generalized linear models 2001, 2nd ed., New York, NY, Springer
3. Gibbons RD, Hedeker D. Full-information item bi-factor analysis. Psychometrika 1992, 57:423-436.
4. Jöreskog K G. On the estimation of polychoric correlations and their asymptotic covariance matrix. Psychometrika 1994, 59:381-389.
5. Li Y, Bolt D M, Fu J. A comparison of alternative models for testlets. Applied Psychological Measurement 2006, 30:3-21.
6. McDonald RP. Nonlinear factor analysis. 1967, No. 15
7. McDonald RP. Linear versus nonlinear models in item response theory. Applied Psychological Measurement 1982, 6:379-396.
8. McDonald RP. Test theory: A unified treatment 1999, Mahwah, NJ, Erlbaum
9. Meilijson I. A fast improvement to the EM algorithm on its own terms. Journal of the Royal Statistical Society 1989, B, 51:127-138.
10. Mislevy R J. Recent developments in the factor analysis of categorical variables 1985, Research report 85-24, Princeton, NJ, ETS
11. Muthén B. A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators. Psychometrika 1984, 49:115-132.
12. Rijmen F. BNL: A Matlab toolbox for Bayesian networks with logistic regression nodes 2006, computer software manual, Amsterdam, The Netherlands, Free University Medical Center.
13. Rijmen F. An efficient EM algorithm for multidimensional IRT models: Full information maximum likelihood estimation in limited time 2009, Research report 09-03, Princeton, NJ, Educational Testing Service
14. Rijmen F, Vansteelandt K, De Boeck P. Latent class models for diary method data: Parameter estimation by local computations. Psychometrika 2008, 73:167-182.
15. Schmid J, Leiman JM. The development of hierarchical factor solutions. Psychometrika 1957, 22:53-61.
16. Takane Y, de Leeuw J. On the relationship between item response theory and factor analysis of discretized variables. Psychometrika 1987, 52:393-408.
17. Wainer H, Bradlow ET, Wang X. Testlet response theory and its applications 2007, New York, NY, Cambridge University Press
18. Yung Y-F, Thissen D, McLeod LD. On the relationship between the higher-order factor model and the hierarchical factor model. Psychometrika 1999, 64:113-128.