• 제목/요약/키워드: multivariate statistical methods

검색결과 463건 처리시간 0.022초

Nonparametric Regression with Left-Truncated and Right-Censored Data

  • Park, Jinho
    • Communications for Statistical Applications and Methods
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    • 제6권3호
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    • pp.791-800
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    • 1999
  • Gross and Lai(1996) proposed a new approach for ordinary regression with left-truncated and right-censored (I.t.r.c) data. This paper shows how to apply nonparametric algorithms such as multivariate adaptive regression splines to 1.t.r.c data.

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On Computing a Cholesky Decomposition

  • Park, Jong-Tae
    • Communications for Statistical Applications and Methods
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    • 제3권2호
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    • pp.37-42
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    • 1996
  • Maximum likelihood estimation of Cholesky decomposition is considered under normality assumption. It is shown that maximum liklihood estimation gives a Cholesky decomposition of the sample covariance matrix. The joint distribution of the maximum likelihood estimators is derived. The ussual algorithm for a Cholesky decomposition is shown to be equivalent to a maximumlikelihood estimation of a Cholesky root when the underlying distribution is a multivariate normal one.

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다변수통계방법을 이용한 산지분류에 관한 연구 (A Study on Forest Land Classification Using Multivariate Statistical Methods : A Case Study at Mt. Kwanak)

  • 정순오
    • 한국조경학회지
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    • 제13권1호
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    • pp.43-66
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    • 1985
  • Korea needs proper and rational public policies on conservation and use of forest land and other natural resources because of the accelerating expansion of national land developments in recent years. Unfortunately, there is no systematic planning system to support the needs. Generally, forest land use planning needs suitability analysis based on efficient land classification system. The goal of this study was to classify a forest land using multivariate satistical methods. A case study was carried out in winter of 1983 on a mountainous area higher than 100m above sea level located at Mt. Kwanak in Anyang -city, Kyung-gi-do (province). The study area was 19.80 km$^2$wide and was divided into 1, 383 Operational Taxonomic Units (OTU's) by a 120m$\times$120m grid. Fourteen descriptors were identified and quantified for each OTU from existing national land data : elevation, slope, aspect, terrain form, geologic material, surface soil permeability, topsoil type, depth of the solum, soil acidity, forest cover type, stand size class, stand age class, stand density class, and simple forest soil capability class. For this study, a FORTRAN IV program was written for input and output map data, and the computer statistics packages, SPSS and BMD, were used to perform the multivariate statistical analysis. Fourteen variables were analyzed to investigate the characteristics of their fire quench distribution and to estimate the correlation coefficients among them. Principal component analysis was executed to find the dimensions of forest land characteristics, and factor scores were used for proper samples of OTU throughout the study area. In order to develop the classes of forest land classification based on 102 surrogates, cluster and discriminant analyses of principal descriptor variable matrix were undertaken. Results obtained through a series of multivariate statistical analyses were as follows ; 1) Principal component analysis was proved to be a useful tool for data selection and identification of principal descriptor variables which represented the characteristics of forest land and facilitated the selection of samples.

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두 진단검사의 비교에 대한 민감도와 특이도의 다변량 메타분석법 (Multivariate Meta-Analysis Methods of Comparing the Sensitivity and Specificity of Two Diagnostic Tests)

  • 남선영;송혜향
    • Communications for Statistical Applications and Methods
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    • 제18권1호
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    • pp.57-69
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    • 2011
  • 질병에 대한 새로운 진단검사 방법이 의학 연구자들에 의해 끊임없이 개발되고 있으며, 기존 진단검사 방법과 새로운 진단검사 방법을 비교하는 연구논문이 계속 출간되어 누적되고 있다. 메타분석법으로 다수 연구논문의 결과를 종합하여 정확성이 높은 진단검사에 대해 객관적인 결론을 내리게 된다. 이와같이 출간된 두 진단검사를 비교하는 각 연구논문은 각각 질병을 가진 개체와 질병을 가지지 않은 개체에 두 검사를 모두 실시하여 한 쌍의 민감도와 특이도를 구하여 비교한다. 이러한 연구논문의 결과를 종합하는 메타분석은 동일 개체에 실시한 두 검사로 인해 한 쌍의 민감도간의 연관성과 한 쌍의 특이도 간의 연관성을 고려한 메타분석법을 본 논문에서 제시한다. 논문예제 자료와 모의시험으로 메타분석 검정통계량의 효율성을 평가한다.

Evaluation of mental and physical load using inverse regression on sinus arrhythmia scores

  • Lee, Dhong-H.;Park, Kyung-S.
    • 대한인간공학회지
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    • 제6권1호
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    • pp.3-8
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    • 1987
  • This paper develops a statistical mode which estimates mental and physical loads of light work from sinus arrhythmia (SA) scores. During experiments, various levels of mental and physical loads (respectively scored by information processing and finger tapping rates) were imposed on subjects and SA scores were measured from the subjects. Two methods were used in developing workload estimation model. One is an algebraic inverse function of a multivariate regression equation, where mental and physical loads are independent variables and SA scores are dependent variables. The other is a statistical multivariate inverse regression. Of the two methods, inverse function resulted in larger mean squqre error in predicting mental and physical loads. Hence, inverse regression model is recommended for precise workload estimation.

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Marginal Likelihoods for Bayesian Poisson Regression Models

  • Kim, Hyun-Joong;Balgobin Nandram;Kim, Seong-Jun;Choi, Il-Su;Ahn, Yun-Kee;Kim, Chul-Eung
    • Communications for Statistical Applications and Methods
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    • 제11권2호
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    • pp.381-397
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    • 2004
  • The marginal likelihood has become an important tool for model selection in Bayesian analysis because it can be used to rank the models. We discuss the marginal likelihood for Poisson regression models that are potentially useful in small area estimation. Computation in these models is intensive and it requires an implementation of Markov chain Monte Carlo (MCMC) methods. Using importance sampling and multivariate density estimation, we demonstrate a computation of the marginal likelihood through an output analysis from an MCMC sampler.

A Clarification of the Cauchy Distribution

  • Lee, Hwi-Young;Park, Hyoung-Jin;Kim, Hyoung-Moon
    • Communications for Statistical Applications and Methods
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    • 제21권2호
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    • pp.183-191
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    • 2014
  • We define a multivariate Cauchy distribution using a probability density function; subsequently, a Ferguson's definition of a multivariate Cauchy distribution can be viewed as a characterization theorem using the characteristic function approach. To clarify this characterization theorem, we construct two dependent Cauchy random variables, but their sum is not Cauchy distributed. In doing so the proofs depend on the characteristic function, but we use the cumulative distribution function to obtain the exact density of their sum. The derivation methods are relatively straightforward and appropriate for graduate level statistics theory courses.

A Review of the Statistical Analysis used in Clinical Articles Published on Journal of Korean Neurosurgical Society

  • Kang, Wee-Chang
    • Journal of Korean Neurosurgical Society
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    • 제40권4호
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    • pp.304-308
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    • 2006
  • Statistical analyses used in clinical articles published on the Journal of Korean Neurosurgical Society were identified and appropriateness of statistical aspects in reporting results was assessed. Forty seven clinical articles were selected in this study, which were published from February, 2005 to February, 2006 on the journal. The frequency of statistical analysis was as follows : descriptive statistics only 24 [51.1%]. one type of statistical method 10 [21.3%], two or more methods 13 [27.6%]. An assessment of statistical aspects was performed in 24 clinical articles reporting inferential statistics. Ten articles [41.7%] did not adequately describe or reference all statistical methods used. There were six articles [25.0%] not reporting the confidence level used as the critical criteria of the statistical significance. In thirteen articles [54.2%] it seems more appropriate to implement multivariate analyses in addition to univariate analyses. We recommend that the journal readers should concentrate on improving their knowledge of basic statistics and statistical review for manuscripts submitted should be sought from professionals in the fields of biostatistics and epidemiology.

다변량 통계분석법을 이용한 PET 중합공정 중 직접 에스테르화 반응기의 거동 및 생산제품 예측 (Multivariate Statistical Analysis Approach to Predict the Reactor Properties and the Product Quality of a Direct Esterification Reactor for PET Synthesis)

  • 김성영;정창복;최수형;이범석;이범석
    • 제어로봇시스템학회논문지
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    • 제11권6호
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    • pp.550-557
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    • 2005
  • The multivariate statistical analysis methods, using both multiple linear regression(MLR) and partial least square(PLS), have been applied to predict the reactor properties and the product quality of a direct esterification reactor for polyethylene terephthalate(PET) synthesis. On the basis of the set of data including the flow rate of water vapor, the flow rate of EG vapor, the concentration of acid end groups of a product and other operating conditions such as temperature, pressure, reaction times and feed monomer mole ratio, two multi-variable analysis methods have been applied. Their regression and prediction abilities also have been compared. The prediction results are critically compared with the actual plant data and the other mathematical model based results in reliability. This paper shows that PLS method approach can be used for the reasonably accurate prediction of a product quality of a direct esterification reactor in PET synthesis process.

호텔링 T2의 이상신호 원인 식별 (Identification of the out-of-control variable based on Hotelling's T2 statistic)

  • 이성임
    • 응용통계연구
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    • 제31권6호
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    • pp.811-823
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    • 2018
  • 호텔링 $T^2$ 통계량에 근거한 다변량 관리도는 공정의 이상상태를 식별하는 통계적 공정관리의 강력한 도구 중 하나이다. 다수의 품질 특성치를 동시에 모니터링하는데 사용된다. $T^2$ 관리도를 통해 이상신호가 탐지된다는 것은 평균 벡터의 변화가 있다는 것을 의미하게 된다. 그러나, 이러한 다변량 통계량의 신호는 이상신호에 대한 원인을 식별하기 어렵게 한다. 이 논문에서는 $T^2$ 통계량을 서로 독립인 항으로 분해한 Mason, Young, Tracy (MYT) 분해에 기반한 원인 식별 방법들을 살펴본다. 또한, R 소프트웨어를 사용하여 사례분석을 하고, 모의실험을 통해 각 절차의 성능을 비교 평가해보고자 한다.