응용통계연구 (The Korean Journal of Applied Statistics)

  • 제19권3호
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  • Pages.587-598
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  • 2006
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
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직교요인을 이용한 국소선형 로지스틱 마이크로어레이 자료의 판별분석

Local Linear Logistic Classification of Microarray Data Using Orthogonal Components

  • 백장선 (전남대학교 자연과학대학 통계학과) ;
  • 손영숙 (전남대학교 자연과학대학 통계학과)
  • Baek, Jang-Sun (Department of Statistics, Chonnam National University) ;
  • Son, Young-Sook (Department of Statistics, Chonnam National University)
  • 발행 : 2006.11.30
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⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 마이크로어레이 (microarray) 자료에 판별분석을 적용 시 나타나는 고차원 및 소표본 문제의 해결방법으로서 직교요인을 새로운 특징변수로 사용한 비모수적 국소선형 로지스틱 판별분석을 제안한다. 제안된 방법은 국소우도에 기반한 것으로서 다범주 판별분석에 적용될 수 있으며, 고려된 직교인자는 주성분 요인, 부분최소제곱 요인, 인자분석 요인 등이다. 대표적인 두 가지 실제 마이크로어레이 자료에 적용한 결과 직교요인들 중에서 부분최소제곱 요인을 특징변수로 사용한 경우 고전적인 통계적 판별분석보다 향상된 분류 능력을 나타내고 있음을 확인하였다.

The number of variables exceeds the number of samples in microarray data. We propose a nonparametric local linear logistic classification procedure using orthogonal components for classifying high-dimensional microarray data. The proposed method is based on the local likelihood and can be applied to multi-class classification. We applied the local linear logistic classification method using PCA, PLS, and factor analysis components as new features to Leukemia data and colon data, and compare the performance of the proposed method with the conventional statistical classification procedures. The proposed method outperforms the conventional ones for each component, and PLS has shown best performance when it is embedded in the proposed method among the three orthogonal components.

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