• Food Science and Biotechnology
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• 제15권4호
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• pp.494-498
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• 2006

An increase in variance (overdispersion) can occur when a binomial statistical analysis is applied to sensory difference test data in which replicate sensory evaluations (tastings) and multiple evaluators (judges) are combined to increase the sample size. Such a practice can cause extensive Type I errors, leading to serious misinterpretations of the data, especially when traditional simple binomial analysis is applied. Alternatively, the use of beta binomial analysis will circumvent the problem of overdispersion. This brief review discusses the uses and computation methodology of beta binomial analysis and in practice evidence for the occurrence of overdispersion.

• 산업경영시스템학회지
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• 제35권2호
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• pp.98-105
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• 2012

This paper describes the Bayesian approach for reliability demonstration test based on the samples from a finite population. The Bayesian approach involves the technical method about how to combine the prior distribution and the likelihood function to produce the posterior distribution. In this paper, the hypergeometric distribution is adopted as a likelihood function for a finite population. The conjugacy of the beta-binomial distribution and the hypergeometric distribution is shown and is used to make a decision about whether to accept or reject the finite population judging from a viewpoint of faulty goods. A numerical example is also given.

• 한국응용곤충학회지
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• 제48권1호
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• pp.45-51
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• 2009

본 연구의 목적은 쌀 저장창고에서 추출기를 이용하여 해충의 밀도를 추정하기 위한 축차추출법을 개발하는데 있다. 쌀 저장창고에서는 쌀을 주로 1톤의 톤백에 저장하는데, 현미로 저장되는 경우 어리쌀바구미 성충과 화랑곡나방 유충은 모두 부의 이항분포를 보였다. 축차추출법은 표본 추출 단위당 방제 시작 밀도를 0.1(현미 1 kg당 5마리), 비처리 밀도를 0.05(현미 1 kg당 2.5마리) 그리고 I($\alpha$), II형($\beta$) 오류를 0.3으로 설정하여 순차적 확률비 검정(sequential probability ratio test (SPRT))을 통해 개발하였다. 이러한 결과들은, SPRT법을 사용함으로써, 관리자들이 단지 20회의 표본 추출로도 잘못된 판단의 위험을 최소화하면서 의사결정을 할 수 있다는 것을 보여준다.