Polarization Test for the multinomial Distribution

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1981Publisher:JSTORJournal:Journal of the American Statistical Association, volume 76, page 107 (issn: 0162-1459,

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Authors: Khursheed Alam; Amitava Mitra;

doi: 10.2307/2287053 , 10.1080/01621459.1981.10477614

Polarization Test for the multinomial Distribution

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Abstract

Abstract A multinomial distribution with k cells is said to be polarized if the total probability mass of the distribution is essentially concentrated into a fewer number of cells. In this article a criterion is developed for measuring polarization, and a statistical test is given for testing the hypothesis that a multinomial distribution has a given measure of polarization against the alternative hypothesis that the measure of polarization is larger. The given test is called a polarization test and is shown to be unbiased.

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