A Note on Simultaneous Confidence Intervals for Multinomial Proportions
Publication Type
Journal Article
Publication Date
1996
Abstract
Construction of simultaneous confidence intervals for multinomial proportions plays a crucial role in many areas of applied statistics. Recently, Sison and Glaz (1995, Journal of the American Statistical Association, 90, 366-369) recommended two approaches for constructing the two-sided confidence intervals. However, the performance of the first approach is basically dependent on the configurations of unknown population proportions, and the second approach needs enormous computational time In this paper we introduce a new approach for evaluating the multinomial distribution and then propose a procedure for constructing two different forms of one-sided simultaneous confidence intervals for multinomial proportions. The simulation study reveals that the performance of the new procedure is very robust to any configurations of population proportions provided that the sample size is sufficiently large. Besides, the computational time of applying the procedure is trivial.
Discipline
Economics
Research Areas
Econometrics
Publication
Journal of Statistical Computation and Simulation
Volume
55
Issue
1
First Page
111
Last Page
120
ISSN
0094-9655
Identifier
10.1080/00949659608811753
Publisher
Taylor and Francis
Citation
KWONG, Koon Shing.
A Note on Simultaneous Confidence Intervals for Multinomial Proportions. (1996). Journal of Statistical Computation and Simulation. 55, (1), 111-120.
Available at: https://ink.library.smu.edu.sg/soe_research/140
Additional URL
https://doi.org/10.1080/00949659608811753