Simultaneous Confidence Intervals and Sample Size Determination for Multinomial Proportions
作者:
CristinaP. Sison,
Joseph Glaz,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1995)
卷期:
Volume 90,
issue 429
页码: 366-369
ISSN:0162-1459
年代: 1995
DOI:10.1080/01621459.1995.10476521
出版商: Taylor & Francis Group
关键词: Coverage probabilities;Multinomial distribution;Probability approximations;Simultaneous inference
数据来源: Taylor
摘要:
Simultaneous confidence interval procedures for multinomial proportions are used in many areas of science. In this article two new simultaneous confidence interval procedures are introduced. Numerical results are presented to evaluate these procedures and compare their performance with established methods that have been used in statistical literature. From the results presented in this article, it is evident that the new procedures are more accurate than the established ones, where the accuracy of the procedure is measured by the volume of the confidence region corresponding to the nominal coverage probability and the probability of coverage it achieves. In the sample size determination problem, the new procedures provide a sizable amount of savings as compared to the procedures that have been used in many applications. Because both procedures performed equally well, the procedure that requires the least amount of computing time is recommended.
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