• Journal of the Korean Data and Information Science Society
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• 제15권2호
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• pp.339-345
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• 2004

This paper deals with a mixed logit model for ordered polytomous data. There are two types of factors affecting the response varable in this paper. One is a fixed factor with finite quantitative levels and the other is a random factor coming from an experimental structure such as a randomized complete block design. It is discussed how to set up the model for analyzing ordered polytomous data and illustrated how to estimate the paramers in the given model.

• Communications for Statistical Applications and Methods
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• 제13권3호
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• pp.467-477
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• 2006

A multidimensionality detecting procedure DETECT, based on conditional covariances between items, is extended and refined to deal with polytomous item data as well as binary one. A large body of simulation study shows extraordinary performance of DETECT in both enumerating degrees of multidimensionality in a test and discovering dimensionally distinctive item clusters. Real data study also provides very meaningful results, making DETECT a strong dimensionality assessment tool for the test data analysis.

• Journal of the Korean Data and Information Science Society
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• 제19권2호
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• pp.577-585
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• 2008

This paper suggests a marginal probability model for analyzing repeated polytomous response data when some factors are nested in others in treatment structures on a larger experimental unit. As a repeated measures factor, time is considered on a smaller experimental unit. So, two different experiment sizes are considered. Each size of experimental unit has its own design structure and treatment structure, and the marginal probability model can be constructed from the structures for each size of experimental unit. Weighted least squares(WLS) methods are used for estimating fixed effects in the suggested model.

• 산업경영시스템학회지
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• 제34권1호
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• pp.42-51
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• 2011

Poisson model and Gamma-Poisson model are popularly used to analyze statistical behavior from defective data. The methods are based on binary criteria, that is, good or failure. However, manufacturing industries prefer polytomous criteria for classifying manufactured products due to flexibility of marketing. In this paper, I introduce two multivariate Gamma-Poisson(MGP) models and estimation methods of the parameters in the models, which are able to handle polytomous data. The models and estimators are verified on defective pixels of LCD manufacturing. Experimental results show that both the independent MGP model and the multinomial MGP model have excellent performance in terms of mean absolute deviation and the choice of method depends on the purpose of use.

• Journal of the Korean Data and Information Science Society
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• 제17권1호
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• pp.187-193
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• 2006

This paper shows how to use continuation-ratio logits for the analysis of structured polytomous data. Here, response categories are considered to have a nested binary structure. Thus, conditionally nested binary random variables can be defined in each step. Two types of factors are considered as independent variables affecting response probabilities. For the purpose of analyzing categorical data with binary nested strutures a continuation-ratio mixed model is suggested. Estimation procedure for the unknown parameters in a suggested model is also discussed in detail by an example.

• Communications for Statistical Applications and Methods
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• 제7권2호
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• pp.597-603
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• 2000

A versatile dimensionality assessment index DETECT has been developed for binary item response data by Kim (1994). The present paper extends the use of DETECT to the polytomously scored item data. A simulation study shows DETECT performs well in differentiating multidimensional data from unidimensional one by yielding a greater value of DETECT in the case of multidimensionality. An additional investigation is necessary for the dimensionally meaningful clustering methods, such as HAC for binary data, particularly sensitive to the polytomous data.

• Journal of the Korean Data and Information Science Society
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• 제19권3호
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• pp.735-749
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• 2008

This article suggests application of logit model for analysis of multicategory responses. Referring to the reference category, characteristic of each category is obtained from analysis of polytomous logit model. With National Pension data it is illustrated that application of logit model helps it possible to find significant factors which may not be found only with polytomous logit model. Application of the logit model is done by reducing the number of categories. Categories are grouped into the former and the latter group according to reference category. Extra finding of significant factor was possible from logistic regression analysis for the two groups after removing the reference category. It is expected that this application would be helpful for finding information and characteristics on ordered multicategory responses where the proportional odds model does not fit.

• 응용통계연구
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• 제21권4호
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• pp.621-630
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• 2008

본 논문은 개체의 특성으로 다가의 명목형 반응변수가 반복측정 요인인 시간요인에 의해 주기적으로 반복측정 되었을 때, 자료를 분석하기 위한 모형으로 일반화된 주변 로짓모형을 논의하고 있다. 다가의 반응변수에 영향을 미치는 공변량중 일부가 처치로써 상대적으로 큰 크기의 실험단위에 배정되고 반복측정 요인인 시간요인의 수준들이 또한 처치요인으로 비확률화에 의해 상대적으로 작은 크기의 실험단위에 배정될 때 이를 고려한 모형구축과정과 예상되는 공분산 구조의 가정하에서 모수를 추정하기 위한 방법으로 가중최소제곱 방법을 이용할 수 있음을 제시하고 있다.

• Journal of the Korean Data and Information Science Society
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• 제27권1호
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• pp.33-44
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• 2016

의학진단과 신용평가 등에서 삼항 이상 다항 범주의 결과로 예측되는 경우가 많다. 다항 범주의 문제에 대하여 부합성 (concordance)을 이용한 다섯 종류의 통계량이 제안되고 사용되었다. 그러나 이러한 통계량들은 범주의 뚜렷한 구분없이 표현되어 짝 (pairwise) 접근방법과 집단 (set) 접근방법을 사용하기 어렵고, 이 통계량들의 의미를 명확하게 파악할 수 없다. 따라서 통계량들의 비교분석이 가능하지 않았다. 본 연구에서는 평가자료를 새롭게 표현하고, 이를 바탕으로 부합성을 재표현한다. 이 부합성을 이용하여 기존의 통계량들을 새롭게 정의한다. 본 연구에서 제안한 방법으로 다섯 가지 통계량들의 의미를 설명할 수 있으며 비교 분석이 가능하다. 다양한 자료를 생성하여 분석하여 이 통계량들의 특징을 탐색할 수 있으며 설명할 수 있다.

• 응용통계연구
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• 제9권1호
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• pp.1-15
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• 1996

본 논문은 질병발생집단의 감염율이 질병발생집단내 감염되지 않은 개체들에 대한 어떤 처치효과가 감염율에 어떻게 영향을 받는가를 알아보기 위한 통계적 분석모형으로 연속적 분석모형을 제시하고, 모형내 미지모수들을 추정하기 위한 방법을 논의하고 있다.