• Journal of the Korean Statistical Society
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• 제27권1호
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• pp.1-10
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• 1998

In the problem of estimating a vector of unknown regression coefficients under the sum of squared error losses in a hierarchical linear model, we propose the hierarchical Bayes estimator of a vector of unknown regression coefficients in a hierarchical linear model, and then prove the admissibility of this estimator using Blyth's (196\51) method.

• Asian-Australasian Journal of Animal Sciences
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• 제11권6호
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• pp.642-647
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• 1998

A Poisson error model as a generalized linear mixed model (GLMM) has been suggested for genetic analysis of counted observations. One of the assumptions in this model is the normality for random effects. Since this assumption is not always appropriate, a more flexible model is needed. For count traits, a Poisson hierarchical generalized linear model (HGLM) that does not require the normality for random effects was proposed. In this paper, a Poisson-Gamma HGLM was examined along with corresponding analytical methods. While a difficulty arises with Poisson GLMM in making inferences to the expected values of observations, it can be avoided with the Poisson-Gamma HGLM. A numerical example with simulated embryo yield data is presented.

• Asian-Australasian Journal of Animal Sciences
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• 제13권8호
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• pp.1035-1039
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• 2000

This study developed a Poisson generalized linear mixed model and a procedure to estimate genetic parameters for count traits. The method derived from a frequentist perspective was based on hierarchical likelihood, and the maximum adjusted profile hierarchical likelihood was employed to estimate dispersion parameters of genetic random effects. Current approach is a generalization of Henderson's method to non-normal data, and was applied to simulated data. Underestimation was observed in the genetic variance component estimates for the data simulated with large heritability by using the Poisson generalized linear mixed model and the corresponding maximum adjusted profile hierarchical likelihood. However, the current method fitted the data generated with small heritability better than those generated with large heritability.

• 아동학회지
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• 제27권3호
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• pp.169-187
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• 2006

A hierarchical linear model(HLM) provides advantages over existing traditional statistical methods (e.g., ordinary least squares regression, repeated measures analysis of variance, etc.) for analyzing multilevel/longitudinal data or diary methods. HLM can gauge a more precise estimation of lower-level effects within higher-level units, as well as describe each individual's growth trajectory across time with improved estimation. This article 1) provides scholars who study children and families with an overview of HLM (i.e., statistical assumptions, advantages/disadvantages, etc.), 2) provides an empirical study to illustrate the application of HLM, and 3) discusses the application of HLM to the study of children and families. In addition, this article provided useful information on available articles and websites to enhance the reader's understanding of HLM.

• 한국시스템다이내믹스연구
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• 제8권2호
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• pp.253-273
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• 2007

To measure the effect of school zone on housing cost, Linear Regression Model is widely used, and school zone is known as a key determinant of housing cost in Korea. However, when the Hierarchical Linear Model (HLM) is applied with the same data, school effect on housing cost becomes statistically non-significant. It is because HLM effectively separates the effect of individual housing's attributes from the group effect. In sum, the housing cost of Kangnam, where good public schools are located, is apparently is higher than that of Kangbuk. However, the school effect on housing cost (Level 2) becomes non-significant when individual housing's attributes (Level 1) are controlled with HLM.

• Journal of the Korean Statistical Society
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• 제27권4호
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• pp.407-420
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• 1998

This paper is concerned with selecting covariates to be included in building linear random effects models designed to analyze clustered response normal data. It is based on a Bayesian approach, intended to propose and develop a procedure that uses probabilistic considerations for selecting premising subsets of covariates. The approach reformulates the linear random effects model in a hierarchical normal and point mass mixture model by introducing a set of latent variables that will be used to identify subset choices. The hierarchical model is flexible to easily accommodate sign constraints in the number of regression coefficients. Utilizing Gibbs sampler, the appropriate posterior probability of each subset of covariates is obtained. Thus, In this procedure, the most promising subset of covariates can be identified as that with highest posterior probability. The procedure is illustrated through a simulation study.

• Communications for Statistical Applications and Methods
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• 제13권3호
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• pp.755-764
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• 2006

Most graphical methods for categorical data can describe the structure of data and represent a measure of association among categorical variables. Among them the polyhedron plot represents sequential relationships among hierarchical log-linear models for a multidimensional contingency table. This kind of plot could be explored to describe the differences among sequential models. In this paper we suggest graphical methods, containing all the information, that reflect the relationship among all log-linear models in a certain hierarchical structure. We use the ideas of a correlation diagram.

• 한국사회복지학
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• 제62권4호
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• pp.171-192
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• 2010

본 연구는 장애인의 직업재활성과에 영향을 미치는 개인적, 조직적 특성을 밝힘으로써 장애인 직업재활사업의 발전을 위한 실천적 함의를 제공하는데 목적이 있다. 분석을 위해 2009년 서울시에서 운영비를 지원하고 있는 장애인 직업재활시설 내 장애인과 시설에 대한 조사결과를 활용하였으며, 임금수준을 장애인의 직업재활성과로 간주하여 분석하였다. 분석방법으로는 직업재활성과의 개인효과와 조직효과를 구분하기 위해 위계선형모형(Hierarchical Linear Model)을 사용하였다. 분석결과, 장애인 직업재활시설 간 차이가 장애인의 임금수준을 설명하는 비중이 유의하게 높았으며, 개인특성과 조직특성의 상호작용효과를 분석한 결과 장애유형과 조직특성 변수 간의 상호작용효과가 유의한 것으로 나타났다. 정책적으로 장애인 직업재활사업의 성과를 높이기 위해 직업재활시설 간 격차를 줄이기 위한 노력이 필요하며, 장애유형 및 특성에 따라 시설운영에 있어 각별한 관심이 요구된다.

• Communications for Statistical Applications and Methods
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• 제6권2호
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• pp.357-366
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• 1999

Let us assume that two different log-linear models are selected by various model selection methods. When these are non-hierarchical it is not easy to choose one of these models. In this paper the well-known Cox's statistic is applied to compare these non-hierarchical log-linear models. Since it is impossible to obtain the analytic solution about the problem we proposed a alternative method by extending Pesaran and pesaran's (1993) simulation approach. We find that the values of proposed test statistic and the estimates are very much stable with some empirical results.

• Journal of the Korean Data and Information Science Society
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• 제24권6호
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• pp.1285-1296
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• 2013

강의평가 결과에 영향을 미치는 특성변수로는 교과목 수준의 다양한 강좌특성 변수들과 수강생 수준의 다양한 인적특성 변수들이 있다. 특정 수강생은 다수의 교과목을 이수하기 때문에 다수의 교과목들은 동일한 수강생 안에 속하게 됨으로써 공유되는 특성이 있게 된다. 즉 강의평가 결과는 교과목 수준의 강좌특성 (1-수준)과 수강생 수준의 인적특성 (2-수준)에 의해 영향을 받는 다층구조 (multilevel)를 가지게 되며, 위계적 자료 특성을 가지는 복수의 분석단위의 구조가 된다. 따라서 전통적인 회귀분석에서와 같이 개별 교과목들이 독립이라는 가정을 할 수 없게 된다. 본 논문에서는 강의평가결과에 영향을 미치는 다층구조의 특성을 가진 변수들의 영향력을 보다 타당하게 분석하기 위한 방법으로 위계선형모형 (HLM; hierarchical linear model)을 이용하였다. 분석결과는 다음과 같다. 먼저 교과목 수준의 특성변수들 중에 강좌규모, 개설학년, 담당교수의 전임여부, 해당 교과목의 총 평균평점, 원어강좌 여부가 통계적으로 유의하게 강의평가 결과에 영향을 미친 것으로 나타났다. 또한 수강생 수준의 인적특성 변수들 중에는 성별, 학과계열, 대입당시 전형방법, 평균평점 등이 유의하게 강의평가 결과에 영향을 미친 것으로 나타났다.