• 제목/요약/키워드: factor analysis component

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주성분분석과 공통요인분석에 대한 비교연구: 요인구조 복원 관점에서 (A Comparative Study on Factor Recovery of Principal Component Analysis and Common Factor Analysis)

  • 정선호;서상윤
    • 응용통계연구
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    • 제26권6호
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    • pp.933-942
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    • 2013
  • 본 연구에서는 시뮬레이션 방법을 사용해서 다양한 조건에서 주성분분석이 얼마나 잘 요인 구조를 복원할 수 있는지를 공통요인분석과 비교하여 체계적으로 평가하였다. 이 연구에서 요인 대 변수 비율, 공통성, 그리고 표본크기를 실험변수로 설정하였다. 주성분분석은 표본의 크기가 200개 이하인 경우 공통적으로 공통요인분석에 비해 더 우수한 요인구조의 복원력을 보여주었다. 특히, 요인 당 변수 수가 적은 경우, 주성분분석은 50개의 표본에서도 만족할 만한 수준의 요인복원능력을 보여주었다. 이와 더불어 공통성 수준 또한 낮은 경우 필요한 표본수는 100개로 늘어난다. 본 연구결과는 요인추출방법으로서 주성분분석의 선택의 근거를 제시하고 타당한 사용에 관한 가이드라인을 제시해 준다.

주성분 분석법을 이용한 낙동강 하구 해역의 수질 평가 (Evaluation of Water Quality using Principal Component Analysis in the Nakdong Rivev Estuary)

  • 신성교;박청길;송교욱
    • 한국환경과학회지
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    • 제7권2호
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    • pp.171-176
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    • 1998
  • This study was conducted to evaluate water quality utilizing principal component analysis in the Nakdong River Estuary. From the results of analysis, water quality in the Nakdong River Estuary could be explained up to 65.3 Percente by three factors which were Included In river loadlnwastes from the Nakdong River and rainfalls : 39.1%1, sediment resuspension(13.7BS) and metabolism(12.5%). In the eastern part of estuary In flowing the Nakdong River, river loading factor score(factor 1 Pas higher than that In western part. Sediment resuspension factor score(factor 2) was high in shallow water, while metabolism factor score(factor 3) was high in deeper water. For seasonal variations of factors score, factor 1 was h19h- 1y related to rainfall season.

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해상교통 조우데이터 요인분석에 관한 연구 (A Study on the Factor Analysis of the Encounter Data in the Maritime Traffic Environment)

  • 김광일;정중식;박계각
    • 한국지능시스템학회논문지
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    • 제25권3호
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    • pp.293-298
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    • 2015
  • 해상교통상황에서 수집된 선박 조우(Encounter) 데이터 변수는 선박 충돌 및 근접사고(Near-Collision) 위험도를 통계적인 방법에 의한 분석이 가능하다. 본 연구에서는 선박 조우 데이터에서 추출되는 다수의 선박충돌위험도 평가 변수들을 요인분석(Factor Analysis)하여, 선박 조우데이터에서 충돌위험에 영향을 미치는 주요 요인을 결정하고자 한다. 각 요인 결정을 위해 선박조우데이터 변수 정규분포화 및 표준화를 수행한 후 주성분 분석(Principal Component Analysis)으로 요인을 결정하였다. 요인분석결과 선박 근접도 요인과 충돌회피변화요인으로 요약하였다.

국가해양력시스템의 구조모델과 평가에 관한 연구(I) (A Study on the Structural Model and Evaluation of National Maritime Power System(I))

  • 임봉택;이철영
    • 한국항만학회지
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    • 제14권1호
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    • pp.57-64
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    • 2000
  • For composing the structure model of national maritime power system by system structural modeling, in this study, the 50 basic factors are selected by survey of the extensive and through literatures on maritime, sea, maritime power and sea power. And the basic factors are classified into 36 component factors by cluster method. The 9 attributes are extracted by the application of the principle component analysis method, one of the factor analysis method in system engineering, to component factors. In this study, we define the attributes composing the national maritime power system by integrating the result of this study and existed our studies relating to this topic. Which are showed in Table 2. and we show the structure model of national maritime power system in Fig. 3. In Table 2, the 9 attributes are as follows : the fundamental power of maritime, shipping and port power, naval power, fishing power, shipbuilding power, the power of ocean research and development, dependency on seaborne trade, the protection power of ocean environment and the will and inclination of govemment. Also, in the case of evaluating this system, we conform the importance of considering the interactions among the attributes which have strong interactions in structure model of national maritime power system.

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독립성분 행렬도 (Independent Component Biplot)

  • 이수진;최용석
    • 응용통계연구
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    • 제27권1호
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    • pp.31-41
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    • 2014
  • 행렬도(biplot)는 이원표 자료행렬(two-way data matrix)의 행과 열을 한 그림에 동시에 나타내는 탐색적 방법으로, 복잡한 다변량 분석 결과를 보다 쉽게 파악할 수 있는 장점이 있다. 특히 주성분인자 행렬도(principal component factor biplot; PCFB)는 인자분석을 통해서 변수들 간의 상호의존 구조를 탐색하기 위한 시각적 도구이다. 자료에 따라 잠재된 변수들이 독립(independent)이고 비가우시안(non-Gaussian) 분포를 가진다는 사전 정보가 있을 때, Jutten과 Herault (1991)가 제안한 독립성분분석(independent component analysis)을 이용한다. 이 경우 주성분법을 이용한 인자분석을 적용하면 원래 변수들의 상호 관계를 잘못 해석할 수도 있다. 따라서 본 논문에서는 자료에 따라 잠재된 변수들이 독립이고 비가우시안 분포를 가진다는 사전 정보가 있을 때, 독립성분분석을 응용하여 원래 변수들 간의 상호 관계를 기하학적으로 살펴볼 수 있는 시각적 도구인 독립성분 행렬도(independent component biplot; ICB)를 제안하려 한다.

Demension reduction for high-dimensional data via mixtures of common factor analyzers-an application to tumor classification

  • Baek, Jang-Sun
    • Journal of the Korean Data and Information Science Society
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    • 제19권3호
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    • pp.751-759
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    • 2008
  • Mixtures of factor analyzers(MFA) is useful to model the distribution of high-dimensional data on much lower dimensional space where the number of observations is very large relative to their dimension. Mixtures of common factor analyzers(MCFA) can reduce further the number of parameters in the specification of the component covariance matrices as the number of classes is not small. Moreover, the factor scores of MCFA can be displayed in low-dimensional space to distinguish the groups. We propose the factor scores of MCFA as new low-dimensional features for classification of high-dimensional data. Compared with the conventional dimension reduction methods such as principal component analysis(PCA) and canonical covariates(CV), the proposed factor score was shown to have higher correct classification rates for three real data sets when it was used in parametric and nonparametric classifiers.

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A STUDY ON PREDICTION INTERVALS, FACTOR ANALYSIS MODELS AND HIGH-DIMENSIONAL EMPIRICAL LINEAR PREDICTION

  • Jee, Eun-Sook
    • Journal of applied mathematics & informatics
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    • 제14권1_2호
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    • pp.377-386
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    • 2004
  • A technique that provides prediction intervals based on a model called an empirical linear model is discussed. The technique, high-dimensional empirical linear prediction (HELP), involves principal component analysis, factor analysis and model selection. HELP can be viewed as a technique that provides prediction (and confidence) intervals based on a factor analysis models do not typically have justifiable theory due to nonidentifiability, we show that the intervals are justifiable asymptotically.

Resistant Principal Factor Analysis

  • Park, Youg-Seok;Byun, Ho-Seon
    • Journal of the Korean Statistical Society
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    • 제25권1호
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    • pp.67-80
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    • 1996
  • Factor analysis is a multivariate technique for describing the in-terrelationship among many variables in terms of a few underlying but unobservable random variables called factors. There are various approaches for this factor analysis. In particular, principal factor analysis is one of the most popular methods. This follows the mathematical algorithm of the principal component analysis based on the singular value decomposition. But it is known that the singular value decomposition is not resistant, i.e., it is very sensitive to small changes in the input data. In this article, using the resistant singular value decomposition of Choi and Huh (1994), we derive a resistant principal factor analysis relatively little influenced by notable observations.

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다변량분석법을 이용한 금강 유역의 수질오염특성 연구 (Evaluation of the Geum River by Multivariate Analysis: Principal Component Analysis and Factor Analysis)

  • 김미아;이재관;조경덕
    • 한국물환경학회지
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    • 제23권1호
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    • pp.161-168
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    • 2007
  • The main aim of this work is focus on the Geum river water quality evaluation of pollution data obtained by monitoring measurement during the period 2001-2005. The complex data matrix 19 (entire monitoring stations)*13 (parameters), 60 (month)*13 (parameters) and 20 (season)*13 (parameters) were treated with different multivariate techniques such as factor analysis/principal component analysis (FA/PCA). FA/PCA identified two factor (19*13) classified pollutant Loading factor (BOD, COD, pH, Cond, T-N, T-P, $NH_3$-N, $NO_3$-N, $PO_4$-P, Chl-a), seasonal factor (water temp, SS) and three Factor (60*13, 20*13) classified pollutant Loading factor (BOD, COD, Cond, T-N, T-P, $NH_3$-N, $NO_3$-N, $PO_4$-P), seasonal factor (water temp, SS) and metabolic factor (Chl-a, pH). Loadings of pollutant factor is potent influence main factor in the Geum river which is explained by loadings of pollutant factor at whole sampling stations (71.16%), month (52.75%) and season (56.57%) of main water quality stations. Result of this study is that pollutant loading factor is affected at Gongju 1, 2, Buyeo 1, 2, Gangkyeong, Yeongi stations by entire stations and entire month (Gongju 1, Cheongwon stations), April, May, July and August (buyeo 1) by month. Also the pollutant Loading factor is season gives an influence in winter (Gongju 1, buyeo 1) from main sampling stations, but Cheongwon characteristic is non-seasonal influenced. This study presents necessity and usefulness of multivariate statistic techniques for evaluation and interpretation of large complex data set with a view to get better information data effective management of water sources.

국가해양력시스템의 구조모델화에 관한 연구 (A Study on the Structural Modelling of National Maritime Power System)

  • 임봉택;이철영
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 1999년도 추계학술대회논문집
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    • pp.153-161
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    • 1999
  • For composing the structure model of national maritime power system by system structural modelling, in this study, the 50 basic factors are selected by survey of the extensive and thorough literatures on maritime, sea, maritime power and sea power. And the basic factors are classified into 36 component factors by cluster method. The 9 attributes are extracted by the application of the principle component analysis method, one of the factor analysis method in system engineering, to component factors. We defined the attributes composing the national maritime power system by integration the result of this study and existed our studies relate to this topic. Which are showed in table 8. and we showed the structure model of national maritime power system in figure 3. In table 8, the 9 attributes are as follows: the fundamental power of maritime, shipping and port power, naval power, fishing power, shipbuilding power, the power of ocean research and development, dependency on seaborne trade, the protection power of ocean environment and the will and inclination of government.