A note on the geometric interpretation of the EM algorithm in estimating item characteristics and student abilities

Psychometrika

Volumn 65, Issue 4, 2000, Pages 533-537

  Ip, Edward H ^a   Lalwani, Neal ^b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b NONE

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EID: 0034561653     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02296343     Document Type: Article

References (8)

1. Baker, F. B. (1992). Item response theory. New York, NY: Marcel Dekker.
2. Bock, R.D., & Aitkin, M. (1981). Marginal maximum likelihood estimation of item parameters: An application of an EM algorithm. Psychometrika, 46, 443-459.
3. Csiszar, I. (1975). I-divergence geometry of probability distributions and minimization problems. Annals of Probability, 3, 146-158.
4. Csiszar, I. (1989). A geometric interpretation of Darroch and Ratcliff's generalized iterative scaling. Annals of Statistics, 17, 1409-1413.
5. Csiszar, I., & Tusnady, G. (1984). Information geometry and alternating minimization procedures. Statistics and Decisions Supplement Issue, 1, 205-237.
6. Dempster, A.P., Laird, N. M., & Rubin, D.B. (1977). Maximum likelihood from incomplete data via the EM algorithm (with discussion). Journal of the Royal Statistical Society, Series B, 39, 1-38.
7. Manuscript received 9 JUN 1998
8. Final version received 16 JUL 1999