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Some Multiple Decision Procedures for Comparing Several Population Proportions
Authors:Ren-Fen Lee  Hsu-Sheng Wang  Wen-Hung Wu
Affiliation:1. Department of Accounting, Kaohsiung University of Applied Sciences, Kaohsiung City, Taiwan;2. Department of Public Security, Central Police University, Taoyuan County, Taiwan;3. Department of Business Administration, Kang-Ning Junior College of Medical Care and Management, Taipei City, Taiwan
Abstract:In this article, comparison of several population proportions using multiple decision approach is studied. The probability of the order of the sample proportions matching with the order of the population proportions is being controlled. A related multiple comparison procedure with a control is also discussed. For ranking the proportions in multinomial distribution, the simultaneous confidence interval is constructed and used for the ranking. Some examples are used to illustrate the multiple decision procedures discussed in this paper.
Keywords:Binomial distribution  Asymptotic results  Multiple decision rules  Multiple comparison  Multinomial distribution  Simultaneous confidence interval  Comparing with control  Tourism survey.
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