Intercluster correlations for binomial data: An application to seed testing

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 7, Issue 1, 2002, Pages 95-106

  Gilliland, Dennis ^a   Schabenberger, Oliver ^b   Liu, Hongyu ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Asymptotic test power; Boundary constraints; Equicorrelation

Indexed keywords

CLUSTER ANALYSIS; CORRELATION; GERMINATION; MAIZE; SEED; SOYBEAN;

GLYCINE MAX; ZEA MAYS;

EID: 29744450498     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.1198/108571102317475080     Document Type: Article

References (20)

1. Association of Official Seed Analysts. (1998), Rules for Testing Seeds, Ames, IA: Association of Official Seed Analysts.
2. Altham, P. M. E. (1978), "Two Generalizations of the Binomial Distribution," Applied Statistics, 27, 162-167.
3. Bahadur, R. R. (1961), "A Representation of the Joint Distribution of Responses to n Dichotomous Items," in Studies in Item Analysis and Prediction, ed. H. Solomon, Stanford, CA: Stanford University Press, pp. 158-165.
4. Collet, D. (1991), Modeling Binary Data, New York: Chapman and Hall.
5. Crowder, M. J. (1978), "Beta-Binomial Anova for Proportions," Applied Statistics, 27, 34-37.
6. Diggle, P. (1983), Statistical Analysis of Spatial Point Patterns, London: Academic Press.
7. Gilliland, D., and Schabenberger, O. (2001), "Limits on Pairwise Association for Equi-Correlated Binary Variables," Journal of Applied Statistical Sciences, 10, in press.
8. International Seed Testing Association. (1996), "International Rules for Seed Testing," Seed Science and Technology, 24(Suppl.), Zürich: ISTA.
9. Kupper, L. L., and Haseman, J. K. (1978), "The Use of a Correlated Binomial Model for the Analysis of Certain Toxicological Experiments," Biometrics, 34, 69-76.
10. Liang, K.-Y., and McCullagh, P. (1993), "Case Studies in Binary Dispersion," Biometrics, 49, 623-630.
11. Liang, K.-Y., and Zeger, S. L. (1986), "Longitudinal Data Analysis Using Generalized Linear Models," Biometrika, 73, 13-22.
12. Liu, H. (1999), "The Application of Statistical Methods to Seed Testing," unpublished doctoral dissertation, Department of Crop and Soil Sciences, Michigan State University.
13. Miles, S. R. (1961), "Germination Variation and Tolerances," in Proceedings of the 51st Annual Meeting of the Association of Official Seed Analysts (Vol. 51), Washington, DC: Sauls Lithography, pp. 68-91.
14. _ (1963), "Handbook of Tolerances and Measures of Precision for Seed Testing," Proceedings of the International Seed Testing Association (Vol. 28(3)), Zürich: ISTA, pp. 523-686.
15. Paul, S. R. (1982), "Analysis of Proportions of Affected Foetuses in Teratological Experiments," Biometrics, 38, 361-370.
16. Pendergast, J. F., Gange, S. J., Newton, M. A., Lindstrom, M. J., Palta, M., and Fisher, M. R. (1996), "A Survey of Methods for Analyzing Clustered Binary Response Data," International Statistical Review, 64, 89-118.
17. Rao, J. N. K., and Scott, A. J. (1992), "A Simple Method for the Analysis of Clustered Binary Data," Biometrics, 48, 577-585.
18. Rodewald, H. (1889), "Über die Fehler der Reinheitsbestimmungen von Kleesamen," Die Landwirtschaftlichen Verstichs-Stationen, 36, 89-105.
19. _ (1898), "Zur Methodik der Keimprüfungen, Theoretische Bestimmung der Fehler," Die Landwirtschaftlichen Versuchs-Stationen, 49, 257-286.
20. Williams, D. A. (1975), "The Analysis of Binary Responses From Toxicological Experiments Involving Reproduction and Teratogenicity," Biometrics, 31, 949-952.