• Title/Summary/Keyword: Sun: statistical method

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The Selection of Strategies for Variance Estimation under πPS Sampling Schemes

  • Kim Sun-Woong
    • Communications for Statistical Applications and Methods
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    • v.13 no.1
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    • pp.61-72
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    • 2006
  • When using the well-known variance estimator of Sen (1953) and Yates and Grundy (1953) in inclusion probability proportional to size sampling, we often encounter the problems due to the calculation of the joint probabilities. Sarndal (1996) and Knottnerus (2003) proposed alternative strategies for variance estimation to avoid those problems in the traditional method. We discuss some of practical issues that arise when they are used. Also, we describe the traditional strategy using a sampling procedure available in a statistical software. It would be one of the attractive choices for design-based variance estimation.

Introduction to Mediation Analysis and Examples of Its Application to Real-world Data

  • Jung, Sun Jae
    • Journal of Preventive Medicine and Public Health
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    • v.54 no.3
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    • pp.166-172
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    • 2021
  • Traditional epidemiological assessments, which mainly focused on evaluating the statistical association between two major components-the exposure and outcome-have recently evolved to ascertain the in-between process, which can explain the underlying causal pathway. Mediation analysis has emerged as a compelling method to disentangle the complex nature of these pathways. The statistical method of mediation analysis has evolved from simple regression analysis to causal mediation analysis, and each amendment refined the underlying mathematical theory and required assumptions. This short guide will introduce the basic statistical framework and assumptions of both traditional and modern mediation analyses, providing examples conducted with real-world data.

Classification of Microarray Gene Expression Data by MultiBlock Dimension Reduction

  • Oh, Mi-Ra;Kim, Seo-Young;Kim, Kyung-Sook;Baek, Jang-Sun;Son, Young-Sook
    • Communications for Statistical Applications and Methods
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    • v.13 no.3
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    • pp.567-576
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    • 2006
  • In this paper, we applied the multiblock dimension reduction methods to the classification of tumor based on microarray gene expressions data. This procedure involves clustering selected genes, multiblock dimension reduction and classification using linear discrimination analysis and quadratic discrimination analysis.

A Simulation Approach for Testing Non-hierarchical Log-linear Models

  • Park, Hyun-Jip;Hong, Chong-Sun
    • Communications for Statistical Applications and Methods
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    • v.6 no.2
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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.

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Asymptotic Test for Dimensionality in Probabilistic Principal Component Analysis with Missing Values

  • Park, Chong-sun
    • Communications for Statistical Applications and Methods
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    • v.11 no.1
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    • pp.49-58
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    • 2004
  • In this talk we proposed an asymptotic test for dimensionality in the latent variable model for probabilistic principal component analysis with missing values at random. Proposed algorithm is a sequential likelihood ratio test for an appropriate Normal latent variable model for the principal component analysis. Modified EM-algorithm is used to find MLE for the model parameters. Results from simulations and real data sets give us promising evidences that the proposed method is useful in finding necessary number of components in the principal component analysis with missing values at random.

A Study on Data Mining Using the Spline Basis

  • Lee, Sun-Geune;Sim, Songyong;Koo, Ja-Yong
    • Communications for Statistical Applications and Methods
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    • v.11 no.2
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    • pp.255-264
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    • 2004
  • Due to a computerized data processing, there are many cases when we encounter a huge data set. On the other hand, advances in computing technologies make it possible to deal with a huge data set. One important area is the data mining. In this paper we consider data mining when the dependent variable is binary. The proposed method is to use the poly-class model when the independent variables consists of continuous and discrete variables. An example is provided.

A Penalized Principal Components using Probabilistic PCA

  • Park, Chong-Sun;Wang, Morgan
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.151-156
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    • 2003
  • Variable selection algorithm for principal component analysis using penalized likelihood method is proposed. We will adopt a probabilistic principal component idea to utilize likelihood function for the problem and use HARD penalty function to force coefficients of any irrelevant variables for each component to zero. Consistency and sparsity of coefficient estimates will be provided with results of small simulated and illustrative real examples.

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Graphical Descriptions for Hierarchical Log Linear Models

  • Hyun Jip Choi;Chong Sun Hong
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.310-319
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    • 1995
  • We represent graphically the relationship of hierachical log linear models by regarding the values of the likelihood ratio statistics as the squared norm of the corresponding vectors. Right angled triangles, tetrahedrons, and modified polyhedrons are used for graphical description. We find that the angle between the two vectors depends on the coefficient of determination and the partial coefficent of determination. Thess graphical descriptions could be applied to the model selection method.

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Least Squares Approach for Structural Reanalysis

  • Kyung-Joon Cha;Ho-Jong Jang;Dal-Sun Yoon
    • Journal of the Korean Statistical Society
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    • v.25 no.3
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    • pp.369-379
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    • 1996
  • A study is made of approximate technique for structural reanalysis based on the force method. Perturbntion analysis of generalized least squares problem is adopted to reanalyze a damaged structure, and related results are presented.

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Graphical Methods for Correlation and Independence

  • Hong, Chong-Sun;Yoon, Jang-Sub
    • Communications for Statistical Applications and Methods
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    • v.13 no.2
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    • pp.219-231
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    • 2006
  • When the correlation of two random variables is weak, the value of one variable can not be used effectively to predict the other. Even when most of the values are overlapped, it is difficult to find a linear relationship. In this paper, we propose two graphical methods of representing the measures of correlation and independence between two random variables. The first method is used to represent their degree of correlation, and the other is used to represent their independence. Both of these methods are based on the cumulative distribution functions defined in this work.