• Title/Summary/Keyword: Hierarchical Analysis Model

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A Bayesian Method to Semiparametric Hierarchical Selection Models (준모수적 계층적 선택모형에 대한 베이지안 방법)

  • 정윤식;장정훈
    • The Korean Journal of Applied Statistics
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    • v.14 no.1
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    • pp.161-175
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    • 2001
  • Meta-analysis refers to quantitative methods for combining results from independent studies in order to draw overall conclusions. Hierarchical models including selection models are introduced and shown to be useful in such Bayesian meta-analysis. Semiparametric hierarchical models are proposed using the Dirichlet process prior. These rich class of models combine the information of independent studies, allowing investigation of variability both between and within studies, and weight function. Here we investigate sensitivity of results to unobserved studies by considering a hierachical selection model with including unknown weight function and use Markov chain Monte Carlo methods to develop inference for the parameters of interest. Using Bayesian method, this model is used on a meta-analysis of twelve studies comparing the effectiveness of two different types of flouride, in preventing cavities. Clinical informative prior is assumed. Summaries and plots of model parameters are analyzed to address questions of interest.

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A Study of Hierarchical Models for the Optimal Analysis of Thin Elastic Structures (박판 탄성구조물의 최적해석을 위한 계층적 모델에 관한 연구)

  • Jo, Jin-Rae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.6
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    • pp.933-941
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    • 1997
  • In the analysis of thin elastic structures such as plate and shell-like structures, classical lower-order theories like Kirchhoff and Reissner-Mindin theories are insufficient to describe the behavior of such structures in the region where the state of stresses is complex. On the other hand, the fully three dimensional theory of linear elasticity can provide desired analysis accuracy, but requires expensive computational implementation compared to the classical theories. This paper is concerned with the development of hierarchical models for elastic structures which can be used for hierarchical modeling for the analysis of such structures. Derivation and limit model analysis (when the thickness of structures tends to zero) of hierarchical models are presented together with a introduction of modeling error estimation. Also, numerical results supporting theoretical results are given.

A Soccer Video Analysis Using Product Hierarchical Hidden Markov Model (PHHMM(Product Hierarchical Hidden Markov Model)을 이용한 축구 비디오 분석)

  • Kim, Moo-Sung;Kang, Hang-Bong
    • Proceedings of the IEEK Conference
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    • 2006.06a
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    • pp.681-682
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    • 2006
  • 일반적으로 축구 비디오 데이터는 멀티모달과 멀티레이어 속성을 지닌다. 이러한 데이터를 다루기 적합한 모델은 동적 베이지안 네트워크(Dynamic Bayesian Network: DBN) 형태의 위계적 은닉 마르코프 모델(Hierarchical Hidden Markov Model: HHMM)이다. 이러한 HHMM 중 다중속성의 특징들이 서로 상호작용하는 PHHMM(Product Hierarchical Hidden Markov Model)이 있다. 본 논문에서는 PHHMM 을 축구 경기의 Play/Break 이벤트 검색 및 분석에 적용하였고 바람직한 결과를 얻었다.

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ON THE ADMISSIBILITY OF HIERARCHICAL BAYES ESTIMATORS

  • Kim Byung-Hwee;Chang In-Hong
    • Journal of the Korean Statistical Society
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    • v.35 no.3
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    • pp.317-329
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    • 2006
  • In the problem of estimating the error variance in the balanced fixed- effects one-way analysis of variance (ANOVA) model, Ghosh (1994) proposed hierarchical Bayes estimators and raised a conjecture for which all of his hierarchical Bayes estimators are admissible. In this paper we prove this conjecture is true by representing one-way ANOVA model to the distributional form of a multiparameter exponential family.

A Hierarchical RAM Simulation Model Framework (계층적 RAM 시뮬레이션 모델 프레임워크)

  • Kim, Hye-Lyeong;Choi, Sang-Yeong
    • Journal of the Korea Institute of Military Science and Technology
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    • v.13 no.1
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    • pp.41-49
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    • 2010
  • In this paper, we propose a hierarchical RAM simulation model framework which are used to analyze the RAM specifications on the concept refinement phase. The hierarchical RAM simulation model framework consists of RAM simulation models, class library and each model's input and output data lists. The hierarchical RAM simulation models are co-operated with 3 kinds of model - type I, II, III. Type I, II models are used to analyze the target operational availability and Type III is used to establish the initial RAM specifications. Each model's input and output data lists are defined by considering each model's purpose of RAM analysis. The class library is arranged with each model's classes for implementing the hierarchical simulation models. The proposed framework may be applied for executing the RAM activities effectively.

Hierarchical Bayes Analysis of Smoking and Lung Cancer Data

  • Oh, Man-Suk;Park, Hyun-Jin
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.115-128
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    • 2002
  • Hierarchical models are widely used for inference on correlated parameters as a compromise between underfitting and overfilling problems. In this paper, we take a Bayesian approach to analyzing hierarchical models and suggest a Markov chain Monte Carlo methods to get around computational difficulties in Bayesian analysis of the hierarchical models. We apply the method to a real data on smoking and lung cancer which are collected from cities in China.

Bayesian Hierarchical Model with Skewed Elliptical Distribution

  • Chung Younshik
    • Proceedings of the Korean Statistical Society Conference
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    • 2000.11a
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    • pp.5-12
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    • 2000
  • Meta-analysis refers to quantitative methods for combining results from independent studies in order to draw overall conclusions. We consider hierarchical models including selection models under a skewed heavy tailed error distribution and it is shown to be useful in such Bayesian meta-analysis. A general class of skewed elliptical distribution is reviewed and developed. These rich class of models combine the information of independent studies, allowing investigation of variability both between and within studies, and weight function. Here we investigate sensitivity of results to unobserved studies by considering a hierarchical selection model and use Markov chain Monte Carlo methods to develop inference for the parameters of interest.

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A Hierarchical Bayesian Model for Survey Data with Nonresponse

  • Han, Geunshik
    • Journal of the Korean Statistical Society
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    • v.30 no.3
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    • pp.435-451
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    • 2001
  • We describe a hierarchical bayesian model to analyze multinomial nonignorable nonresponse data. Using a Dirichlet and beta prior to model the cell probabilities, We develop a complete hierarchical bayesian analysis for multinomial proportions without making any algebraic approximation. Inference is sampling based and Markove chain Monte Carlo methods are used to perform the computations. We apply our method to the dta on body mass index(BMI) and show the model works reasonably well.

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Hierarchical Bayesian Analysis for Stress-Strength Model in Normal Case

  • Lee, In-Suk;Cho, Jang-Sik;Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.11 no.1
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    • pp.127-137
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    • 2000
  • In this paper, we consider hierarchical Bayesian analysis for P(Y < X) using Gibbs sampler, where X and Y are independent normal distributions with unknown means and variances, respectively. Also numerical study using real data is provided.

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HisCoM-PAGE: software for hierarchical structural component models for pathway analysis of gene expression data

  • Mok, Lydia;Park, Taesung
    • Genomics & Informatics
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    • v.17 no.4
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    • pp.45.1-45.3
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    • 2019
  • To identify pathways associated with survival phenotypes using gene expression data, we recently proposed the hierarchical structural component model for pathway analysis of gene expression data (HisCoM-PAGE) method. The HisCoM-PAGE software can consider hierarchical structural relationships between genes and pathways and analyze multiple pathways simultaneously. It can be applied to various types of gene expression data, such as microarray data or RNA sequencing data. We expect that the HisCoM-PAGE software will make our method more easily accessible to researchers who want to perform pathway analysis for survival times.