On Sample Size and Quick Simultaneous Confidence Interval Estimations for Multinomial Proportions

Asymptotically, sample proportions from a multinomial distribution converge in distribution to a multivariate normal distribution with a singular negative product correlation structure. Based on this result, we propose a new approach to estimate the sample size requirement for constructing quick sim...

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Bibliographic Details
Main Author: KWONG, Koon Shing
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 1998
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Online Access:https://ink.library.smu.edu.sg/soe_research/458
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Institution: Singapore Management University
Language: English
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Summary:Asymptotically, sample proportions from a multinomial distribution converge in distribution to a multivariate normal distribution with a singular negative product correlation structure. Based on this result, we propose a new approach to estimate the sample size requirement for constructing quick simultaneous confidence intervals (QSCI) for multinomial proportions. In addition, this new approach can be used to construct QSCI and provides a statistical justification to the reports of the opinion polling.