• 응용통계연구
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• 제30권3호
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• pp.311-321
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• 2017

주성분 분석은 통계학 뿐만 아니라 기상학에서 널리 사용되는 방법론이며, 고차원 자료에 대한 차원축소 역할 뿐만아니라 기상자료에서의 의미있는 패턴을 찾아내기 위해 사용되는 방법론이다. 또한 주성분분석에 기반을 둔 주성분 회귀분석 방법론은 기후예측이 가능하므로 미래 시점의 기후값 예측에 사용될 수 있다. 본 논문에서는 Wang과 Huang (2016) 논문에서 제안한 제한된 공간 주성분 분석을 기반으로 한 주성분 회귀분석 방법론을 개발하였다. 이를 시뮬레이션을 통하여 확인하였고, 실제 자료인 동아시아 지역 온도예측에 적용하여 기존의 주성분 회귀분석 예측 값에 비해 예측력이 높아짐을 확인하였다.

• Communications for Statistical Applications and Methods
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• 제10권3호
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• pp.1025-1036
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• 2003

Variable selection algorithm for principal component analysis using penalty function is proposed. We use the fact that usual principal component problem can be expressed as a maximization problem with appropriate constraints and we will add penalty function to this maximization problem. Simulated annealing algorithm is used in searching for optimal solutions with penalty functions. Comparisons between several well-known penalty functions through simulation reveals that the HARD penalty function should be suggested as the best one in several aspects. Illustrations with real and simulated examples are provided.

• Journal of the Korean Data and Information Science Society
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• 제14권3호
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• pp.623-630
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• 2003

Recently, Tanaka(1988) derived two influence functions related to an eigenvalue problem $(A-\lambda_sI)\upsilon_s=0$ of real symmetric matrix A and used them for sensitivity analysis in principal component analysis. In this paper, we deal with the perturbation expansions up to quadratic terms of the same functions and discuss the application to sensitivity analysis in principal component regression analysis(PCRA). Numerical example is given to show how the approximation improves with the quadratic term.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2003년도 춘계 학술발표회 논문집
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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.

• 농업과학연구
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• 제8권2호
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• pp.139-151
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• 1981

육종재료(育種材料)를 얻기 위해 수집(蒐集)된 한국(韓國) 재래종(在來種) 옥수수 57계통(系統)에 대(對)하여 주성분(主成分) 분석(分析)을 적용(適用)하여 재래종(在來種) 옥수수르 해석(解釋)하고 계통분류(系統分類)를 하였던 바 다음과 같은 결과(結果)를 얻었다. 1. 27개(個) 형질(形質)을 이용(利用)하여 실시(實施)한 주성분(主成分) 분석(分析)에서 제(第)4 주성분(主成分)까지를 가지고 전변동(全變動)의 67.09% 설명(說明)할 수 있었고, 제(第)1주성분(主成分)까지를 취(取)하면 전변동(全變動)의 88.63%를 설명(說明)할 수 있었다. 2. 형질(形質)의 주성분(主成分)에 대(對)한 기여율(寄與率)은 형질(形質)과 주성분(主成分)에 따라 큰 차이(差異)가 있었다. 3. 주성분(主成分)과 형질문(形質問)에 상관계수(相關係數)는 주성분(主成分)의 생물학적(生物學的) 의의(意義)와 주성분(主成分)에 대응(對應)한 식물체의 type을 명확(明確)히 하였다. 4. 계통간거리(系統間距離)에 의(依)해 57계통(系統)을 4개(個)의 계통군(系統群)으로 분류(分類)하였다.

• 대한수의학회지
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• 제53권1호
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• pp.7-10
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• 2013

A study was conducted to determine the interdependence among the conformation traits of 28 "Pallaresa" cows using principal component analysis. Originally 21 body linear measurements were obtained, from which eight traits are subsequently eliminated. From the principal components analysis, with raw varimax rotation of the transformation matrix, two principal components were extracted, which accounted for 65.8% of the total variance. The first principal component alone explained 51.6% of the variation, and tended to describe general size, while the second principal component had its loadings for back-sternal diameter. The two extracted principal components, which are traits related to dorsal heights and back-sternal diameter, could be considered in selection programs.

• Communications for Statistical Applications and Methods
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• 제28권2호
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• pp.135-150
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• 2021

We propose principal differential analysis based classification methods. Computations of squared multiple correlation function (RSQ) and principal differential analysis (PDA) scores are reviewed; in addition, we combine principal differential analysis results with the logistic regression for binary classification. In the numerical study, we compare the principal differential analysis based classification methods with functional principal component analysis based classification. Various scenarios are considered in a simulation study, and principal differential analysis based classification methods classify the functional data well. Gene expression data is considered for real data analysis. We observe that the PDA score based method also performs well.

• Journal of the Korean Statistical Society
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• 제20권2호
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• pp.177-190
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• 1991

In this paper, we discuss and review various measures which have been presented for studying outliers. high-leverage points, and influential observations when principal component regression is adopted. We suggest several diagnostics measures when principal component regression is used. A numerical example is illustrated. Some individual data points may be flagged as outliers, high-leverage point, or influential points.

• Communications for Statistical Applications and Methods
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• 제4권3호
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• pp.637-644
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• 1997

Sometimes, the first principal component may come logically from the established knowledge and premises. For example, for the high school students' test scores of Korean, English, Mathematics, Social Study, and Science, it is natural to define the first principal component as the average of all subject scores. In such cases, we need to respect both the background knowledge and the data exploration. The aim of this study is to find the remaining components in principal component analysis of multivariate data when the first principal component is defined a priori by the researcher. Moreover, we study related matrix decomposition and their application to the graphical display.

• 한국안전학회지
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• 제34권5호
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• pp.95-102
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• 2019

Non-destructive methods such as rebound hardness method and ultrasonic method are widely studied for evaluating the physical properties, condition and damage of concrete, but are not suitable for detecting delamination and cracks near the surface due to various constraints of the site as well as the accuracy. Therefore, in this study, the impact resonance method was applied to detect the separation cracks occurring near the surface of the concrete slab and bridge deck. As a next step, the principal component analysis were performed by extracting various features using the FFT data. As a result of principal component analysis, it was analyzed that the reliability was high in distinguishing defects in concrete. This feature extraction and application of principal component analysis can be used as basic data for future use of machine learning technique for the better accuracy.