The Asymptotic Proportion of Subdivisions of a 2 x 2 Table that Result in Simpson's Paradox

Combinatorics Probability and Computing

Volumn 7, Issue 4, 1998, Pages 387-396

  Hadjicostas, Petros ^a  

^a UNIVERSITY OF CYPRUS   (Cyprus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032236650     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548398003666     Document Type: Article

References (12)

1. Blyth, C. (1972) On Simpson's paradox and the sure-thing principle. J. Amer. Statist. Assoc. 67 364-366.
2. Good, I. J. and Mittal, Y. (1987) The amalgamation and geometry of two-by-two contingency tables. Ann. Statist. 15 694-711.
3. Gradshteyn, I. S., and Ryzhik, I. M. (1980) Table of Integrals, Series and Products, corrected and enlarged edition, Academic Press, Orlando.
4. Hadjicostas, P. (1995) Probabilistic Analysis of Association Reversal Phenomena, PhD thesis, Department of Statistics, Carnegie Mellon University, Pittsburgh, PA, USA.
5. Huh, M. H. (1987) Simpson's paradox and randomization. J. Korean Statist. Soc. 16 113-116.
6. Jeon, J. W., Chung, H. Y. and Bae, J. S. (1987) Chances of Simpson's paradox. J. Korean Statist. Soc. 16 117-127.
7. Messick, D. M., and van de Geer, J. P. (1981) A reversal paradox. Psychological Bulletin 90 582-593.
8. Mittal, Y. (1991) Homogeneity of subpopulations and Simpson's paradox. J. Amer. Statist. Assoc. 86 167-172.
9. Pearson, K. (1899) On the spurious correlation produced by forming a mixture of heterogeneous but uncorrelated materials. Phil. Trans. Roy. Soc. (Lond.) A192 277-278.
10. Samuels, M. L. (1993) Simpson's Paradox and related phenomena. J. Amer. Statist. Assoc. 88 81-88.
11. Simpson, E. H. (1951) The interpretation of interaction in contingency tables. J. Roy. Statist. Soc. B13 238-41.
12. Yule, G. U. (1903) Notes on the theory of association of attributes in statistics, Biometrika 2 121-134.