On sample size and quick simultaneous confidence interval estimations for multinomial proportions

Journal of Computational and Graphical Statistics

Volumn 7, Issue 2, 1998, Pages 212-222

  Kwong, Koon Shing ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Graphical approach; Multivariate normal distribution; Singular negative product correlation

Indexed keywords

EID: 0032221040     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1080/10618600.1998.10474771     Document Type: Article

References (15)

1. Angers, C. (1974), “A Graphical Method to Evaluate Sample Sizes for the Multinomial Distribution,” Technometrics, 16, 469-471.
2. Angers, C. (1979), “Sample Size Estimation for Multinomial Populations,” (letter to the editor), The American Statistician, 33, 163-164.
3. Bailey, B. J. R. (1980), “Large Sample Simultaneous Confidence Intervals for the Multinomial Probabilities Based on Transformations for the Cell Frequencies,” Technometrics, 22, 583-589.
4. Cochran, W. G. (1963), Sampling Techniques (2nd ed.), New York: Wiley.
5. Fitzpatrick, S., and Scott, A. (1987), “Quick Simultaneous Confidence Intervals for Multinomial Proportions,” Journal of the American Statistical Association, 82, 875-878.
6. 2 Tests in a Markov Chain,” Annals of Mathematical Statistics, 30, 56-74.
7. Goodman, L. A. (1965), “On Simultaneous Confidence Intervals for Multinomial Proportions,” Technometrics, 7, 247-254.
8. IMSL (1987), User’s Manual: Math/Library. Houston: IMSL, Inc.
9. Kwong, K. S. (1995), “Evaluation of One-Sided Percentage Points of the Singular Multivariate Normal Distribution,” Journal of Statistical Computation and Simulation, 51, 121-135.
10. Kwong, K. S., and Iglewicz, B. (1996), “On Singular Multivariate Normal Distribution And Its Applications,” Computational Statistics & Data Analysis, 22, 271-285.
11. Miller R. G. (1981), Simultaneous Statistical Inference (2nd ed.), New York: Springer-Verlag.
12. Nelson, P. R. (1991), “Numerical Evaluation of Multivariate Normal Integrals with Correlations py = -cqotj,” in The Frontiers of Statistical Scientific Theory And Industrial Applications, American Sciences Press, Inc., pp. 97-113.
13. Quesenberry, C. P., and Hurst, D. C. (1964), “Large Sample Simultaneous Confidence Intervals for Multinomial Proportions,” Technometrics, 6, 191-195.
14. Thompson, S. K. (1987), “Sample Size for Estimating Multinomial Proportions,” The American Statistician, 41, 42-46.
15. Tortora, R. D. (1978),“A Note on Sample Size Estimation for Multinomial Populations,” The American Statistician, 32, 100-102.