Yule's Association Paradox and Ignored Stratum Heterogeneity in Capture—Recapture Studies

Journal of the American Statistical Association

Volumn 94, Issue 447, 1999, Pages 855-859

  Kadane, Joseph B ^a   Meyer, Michael M ^b   Tukey, John W ^c  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b BOEING COMPANY   (United States)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

Capture recapture; Census; Reparameterization; Simpson paradoxes

Indexed keywords

EID: 1542637554     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1999.10474190     Document Type: Article

References (16)

1. Cohen, M. R., and Nagle, E. (1934), An 1ntroduction to Logic and Scientific Method, New York: Harcourt.
2. Darroch, J. N., Fienberg, S. E., Glonek, G. F. V., and Junker, B. W. (1993), "A Three-Sample Multiple-Recapture Approach to Census Population Estimation With Heterogeneous Catchability, " Journal of the American Statistical Association, 88, 1137-1148.
3. Gail, M. H. (1988), "The Effect of Pooling Across Strata in Perfectly Balanced Studies, " Biometrika, 44, 151-162.
4. Gail, M. H., Wieand, S., and Piantadosi, S. (1984), "Biased Estimates of Treatment Effects in Randomized Experiments With Nonlinear Regressions and Omitted Covariates, " Biometrika, 71, 431-444.
5. Hardy, G., Littlewood, J. E., and Polya, G. (1952), Inequalities, Cambridge: Cambridge University Press, 2n d edition.
6. Hengartner, N., and Speed, T. (1993), "Assessing Between-Block Heterogenity Within the Poststrata of the 1990 Postenumeration Survey, " (with discussion), Journal of the American Statistical Association, 88, 1119-1129.
7. Hogan, H. (1993), "The 1990 Postenumeration Survey: Operations and Results, " Journal of the American Statistical Association, 88, 1047-1060.
8. Hook, E., and Regal, R. (1993), "Effect of Variation in Probability of Ascertainment by Sources ('Variable Catchability') Upon 'CaptureRecapture' Estimates of Prevalence, " American Journal of Epidemiology, 137, 1148-1166.
9. Junge, C. (1963), "A Quantitative Evaluation of the Bias in Population Estimates Based on Selective Samples, " in North Atlantic Fish Marketing Symposium, 1CNAF Special Publication, 4, 26-28.
10. Mittal, Y. (1991), "Homogeneity of Subpopulations and Simpson's Paradox, " Journal of the American Statistical Association, 86, 167-172.
11. Robson, D. S. (1969), "Mark-Recapture Methods of Population Estimation, " in New Developments in Survey Sampling, eds. N. L. Johnson and H. Smith, Jr. New York: Wiley, pp. 120-140.
12. Seber, G. (1982), The Estimation of Animal Abundance and Related Parameters (2nd ed.), London: Charles Griffin.
13. Sekar, C., and Deming, W. (1949), "On a Method of Estimating Birth and Death Rates and the Extent of Registration, " Journal of the American Statistical Association, 44, 101-115.
14. Simpson, E. H. (1951), "The Interpretation of Interaction in Contingency Tables, " Journal of the Royal Statistical Society, 13, 238-241.
15. Wachter, K. W., and Speed, T. P. (1991), Comment on "Total Error in PES Estimates of Population" by Mulry and Spenser, " Journal of the American Statistical Association, 86, 858-861.
16. Yule, G. U. (1903), "Notes on the Theory of Association of Attributes in Statistics, " Biometrika, 2, 121-134.