Combining Conditional Log-Linear Structures

Journal of the American Statistical Association

Volumn 94, Issue 445, 1999, Pages 229-239

  Fienberg, Stephen E ^a   Kim, Sung Ho ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Collapsibility; Contingency tables; Graphical models; Influence diagram; Strong hierarchy assumption; Traceability

Indexed keywords

EID: 0442309444     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1999.10473838     Document Type: Article

References (20)

1. Anderson, T. W. (1984), An Introduction to Multivariate Statistical Analysis (2nd ed.), New York: Wiley.
2. Bishop, Y. M. M., Fienberg, S. E., and Holland, P. W. (1975), Discrete Multivariate Analysis: Theory and Practice, Cambridge, MA: MIT Press.
3. Breiman, L., Friedman, J. H., Olshen, R. A., and Stone, C. J. (1984), Classification and Regression Trees, Belmont, CA: Wadsworth.
4. Darroch, J. N., Lauritzen, S. L., and Speed, T. P. (1980), “Markov Fields and Log-Linear Interaction Models for Contingency Tables,” The Annals of Statistics, 8, 522-539.
5. Dawid, A. P., and Lauritzen, S. L. (1993), “Hyper-Markov Laws in the Statistical Analysis of Decomposable Graphical Models,” Annals of Statistics, 21, 1272-1317.
6. Edwards, D. (1995), Introduction to Graphical Modelling, New York: Springer-Verlag.
7. Greeno, J. G., and Simon, H. A. (1988), “Problem Solving and Reasoning,” in Stevens’ Handbook of Experimental Psychology, Vol. 2 (2nd ed.), eds. R. C. Atkinson, R. I. Hermstein, G. Lindzey, and R. D. Luce, New York: Wiley, pp. 589-672.
8. Haertel, E. H., and Wiley, D. E. (1992), “Representations of Ability Structures: Implications for Testing,” in Test Theory for a New Generation of Tests, eds. N. Fredericksen, R. I. Mislevy, and I.I. Bejar, Hillsdale, NJ: Erlbaum.
9. Kim, S.-H. (1992), “Instability in a Tree Approach to Regression,” ETS Research Report RR-92-1, Educational Testing Service, Princeton, NI.
10. Lauritzen, S. (1996), Graphical Association Models, New York: Oxford University Press.
11. Lauritzen, S. L., and Spiegelhalter, D. I. (1988), “Local Computations With Probabilities on Graphical Structures and Their Application to Expert Systems,” Journal of the Royal Statistical Society, Ser. B, 50, 157-224.
12. Little, R. I. A., and Rubin, D. B. (1987), Statistical Analysis With Missing Data, New York: Wiley.
13. Oliver, R. M., and Smith, J. Q. (Eds.) (1990), Influence Diagrams, Belief Nets and Decision Analysis, New York: Wiley.
14. Pearl, J. (1988), Probabilistic Reasoning In Intelligent Systems: Networks of Plausible Inference, San Mateo, CA: Morgan Kaufmann.
15. Pearl, I., Geiger, D., and Verma, T. (1990), “The Logic of Influence Diagrams,” in Influence Diagrams, Belief Nets and Decision Analysis, eds. R. M. Oliver and J. Q. Smith. New York: Wiley.
16. Smith, J. Q. (1989), “Influence Diagrams for Statistical Modelling,” The Annals of Statistics, 17, 654-672.
17. Spiegelhalter, D. J., Dawid, A. P., Lauritzen, S. L., and Cowell, R. G. (1993), “Bayesian Analysis in Expert Systems”, Statistical Science, 8(3), 219-283.
18. Spirtes, P., Glymour, C., and Scheines, R. (1993), Causation, Prediction, and Search (Lecture Notes in Statistics Vol. 81), New York: SpringerVerlag.
19. Tatsuoka, K. K. (1990), ‘Toward an Integration of Item Response Theory and Cognitive Error Diagnosis,” in Diagnostic Monitoring of Skill and Knowledge Acquisition, eds. N. Fredericksen, R. Glaser, A. Lesgold, and M. G. Shafto, Hillsdale, NJ: Erlbaum.
20. Whittaker, J. (1990), Graphical Models in Applied Multivariate Statistics, New York: Wiley.