• 제목/요약/키워드: Mixed Models

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A Comparison of Influence Diagnostics in Linear Mixed Models

  • Lee, Jang-Taek
    • Communications for Statistical Applications and Methods
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    • 제10권1호
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    • pp.125-134
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    • 2003
  • Standard estimation methods for linear mixed models are sensitive to influential observations. However, tools and concepts for linear mixed model diagnostics are rudimentary until now and research is heavily demanded in linear mixed models. In this paper, we consider two diagnostics to evaluate the effects of individual observations in the estimation of fixed effects for linear mixed models. Those are Cook's distance and COVRATIO. Results of our limited simulation study suggest that the Cook's distance is not good statistical quantity in linear mixed models. Also calibration point for COVRATIO seems to be quite conservative.

2인자 혼합모형의 제약과 비제약 설계에 의한 게이지 R&R 연구의 고찰 (Review of Gauge R&R Studies by Restricted and Unrestricted Design in the Two-Factor Mixed Model)

  • 최성운
    • 대한안전경영과학회:학술대회논문집
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    • 대한안전경영과학회 2009년도 추계학술대회
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    • pp.657-665
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    • 2009
  • The paper reviews gauge R&R studies by two-factor mixed models including random and fixed factors. The two-factor mixed models include restricted models and unrestricted models considering the interaction of two factors. This study also classifies the models according to the number of factors, and the combination of various factors such as random factor, fixed factor, block factor and repetition type.

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혼합효과모형의 리뷰 (Review of Mixed-Effect Models)

  • 이영조
    • 응용통계연구
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    • 제28권2호
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    • pp.123-136
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    • 2015
  • 관측 가능한 변수들 사이의 관계를 묘사한 갈릴레오의 물리학 법칙 발견 이후, 과학은 큰 성과를 거두며 발전해왔다. 그러나, 관측할 수 없는 변량효과를 함께 이용하여 더 많은 자연 현상을 설명할 수 있게 되었고, 이를 이용한 최초의 통계적 모형인 혼합효과모형이 소개되었다. 계산기술의 발달과 더불어 복잡한 현상에 대한 추론을 위하여 혼합효과모형은 그 중요성이 더욱 커지고 있다. 이러한 혼합효과모형은 최근 다단계 일반화 선형모형을 포함한 여러 모형으로 확장되었으며, 관측할 수 없는 변량효과를 추론하기 위한 다단계 가능도가 제시되었다. 혼합효과모형 특집호를 통해 이러한 모형들이 여러 통계학적 문제점을 해결하는 과정을 제시하고, 앞으로 어떤 확장이 추가적으로 요구되는 지에 대하여 논할 것이다. 빈도록적 접근법과 베이지안 접근법을 함께 다룬다.

Genetic Parameter Estimation with Normal and Poisson Error Mixed Models for Teat Number of Swine

  • Lee, C.;Wang, C.D.
    • Asian-Australasian Journal of Animal Sciences
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    • 제14권7호
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    • pp.910-914
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    • 2001
  • The teat number of a sow plays an important role for weaning pigs and has been utilized in selection of swine breeding stock. Various linear models have been employed for genetic analyses of teat number although the teat number can be considered as a count trait. Theoretically, Poisson error mixed models are more appropriate for count traits than Normal error mixed models. In this study, the two models were compared by analyzing data simulated with Poisson error. Considering the mean square errors and correlation coefficients between observed and fitted values, the Poisson generalized linear mixed model (PGLMM) fit the data better than the Normal error mixed model. Also these two models were applied to analyzing teat numbers in four breeds of swine (Landrace, Yorkshire, crossbred of Landrace and Yorkshire, crossbred of Landrace, Yorkshire, and Chinese indigenous Min pig) collected in China. However, when analyzed with the field data, the Normal error mixed model, on the contrary, fit better for all the breeds than the PGLMM. The results from both simulated and field data indicate that teat numbers of swine might not have variance equal to mean and thus not have a Poisson distribution.

A General Mixed Linear Model with Left-Censored Data

  • Ha, Il-Do
    • Communications for Statistical Applications and Methods
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    • 제15권6호
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    • pp.969-976
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    • 2008
  • Mixed linear models have been widely used in various correlated data including multivariate survival data. In this paper we extend hierarchical-likelihood(h-likelihood) approach for mixed linear models with right censored data to that for left censored data. We also allow a general random-effect structure and propose the estimation procedure. The proposed method is illustrated using a numerical data set and is also compared with marginal likelihood method.

Improved Algorithm for Case-Deletion Diagnostic in Mixed Linear Models

  • Lee, Jang-Teak
    • Communications for Statistical Applications and Methods
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    • 제7권3호
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    • pp.677-686
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    • 2000
  • Outliers may occur with respect to any of the random components in mixed linear models. We develop a use of simple, inexpensive updating formulas to consider the effect of case-deletion for mixed linear models. The method described here requires inversions of an n x n matrix, where n is the number of nonempty cells. A numerical example illustrates the use of computational formulas.

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Mixed Linear Models with Censored Data

  • Ha, Il-do;Lee, Youngjo-;Song, Jae-Kee
    • Journal of the Korean Statistical Society
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    • 제28권2호
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    • pp.211-223
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    • 1999
  • We propose a simple estimation procedure in the mixed linear models with censored normal data, using both Buckly and James(1979) type pseudo random variables and Lee and Nelder's(1996) estimation procedure. The proposed method is illustrated with the matched pairs data in Pettitt(1986).

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조립생산 Line에 있어서 혼합모델 유사성 측정에 관한 연구 (A Study on Likeness Measure in Mixed Model Assembly Line)

  • 박명규
    • 산업경영시스템학회지
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    • 제5권6호
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    • pp.49-53
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    • 1982
  • Because of the ever increasing demands of consumers for a greater choice of product models, manufacturers are forced to produce a wider variety of models. Therefore, more and more assembly lines are being converted to handle the larger number. As the complexity in achieving an efficient mixed model assembly line is related to the degree of likeness between models on the line. To measure likeness between two or more models an method was developed in this study, which is based on the association of work element and their processing times on each model for mixed model assembly line.

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저유량 특성을 고려한 사류 송풍기의 성능 해석 (Performance analysis of mixed-flow fans considering the low flow characteristics)

  • 오형우;김광용
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2000년도 유체기계 연구개발 발표회 논문집
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    • pp.110-115
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    • 2000
  • The mean streamline analysis using the empirical loss correlations has been developed for performance prediction of industrial mixed-flow fan impellers in the present study. New simple, but effective, models for the additional Euler input work characteristic and an internal recirculation loss due to internal flow reversal under the low flowrate conditions are proposed in this paper. Comparison of overall performance predictions with six sets of test data of mixed-flow fans is accomplished to demonstrate the accuracy of the proposed models. Predicted performance curves by the present set of loss models agree fairly well with experimental data for a variety of mixed-flow fan impellers over the entire operating conditions. The prediction method presented herein can be used efficiently in the conceptual design phase of mixed-flow fan impellers.

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MIXED INTEGER PROGRAMMING MODELS FOR DISPATCHING VEHICLES AT A CONTAINER TERMINAL

  • ZHANG LI WEI;YE RONG;HUANG SHELL YING;HSU WEN JING
    • Journal of applied mathematics & informatics
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    • 제17권1_2_3호
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    • pp.145-170
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    • 2005
  • This paper presents scheduling models for dispatching vehicles to accomplish a sequence of container jobs at the container terminal, in which the starting times as well as the order of vehicles for carrying out these jobs need to be determined. To deal with this scheduling problem, three mixed 0-1 integer programming models, Model 1, Model 2 and Model 3 are provided. We present interesting techniques to reformulate the two mixed integer programming models, Model 1 and Model 2, as pure 0-1 integer programming problems with simple constraint sets and present a lower bound for the optimal value of Model 1. Model 3 is a complicated mixed integer programming model because it involves a set of non-smooth constraints, but it can be proved that its solutions may be obtained by the so-called greedy algorithm. We present numerical results showing that Model 3 is the best among these three models and the greedy algorithm is capable of solving large scale problems.