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정준대응분석에서 붓스트랩 방법 활용

Applications of Bootstrap Methods for Canonical Correspondence Analysis

  • 투고 : 2015.03.10
  • 심사 : 2015.05.07
  • 발행 : 2015.06.30

초록

정준대응분석은 생태학에서 장소, 종 그리고 환경변수의 관계를 시각적으로 보기 위해 가장 많이 사용되는 서열화 방법 중의 하나이다. 그런데 이 방법은 표본이 바뀔 때마다 분석결과가 달라지기 때문에 종 간의 생태학적 유사성에 대한 일관된 해석을 어렵게 한다. 본 연구에서는 이러한 문제점을 해결하기 위해 정준대응분석에 붓스트랩 방법을 활용하였다. 이를 통해 전체 관찰 자료수에 반비례하여 좌표점의 변이가 나타나고, 붓스트랩 신뢰구간을 사용한 포함확률이 명목확률에 근사함을 확인하였다.

Canonical correspondence analysis is an ordination method used to visualize the relationships among sites, species and environmental variables. However, projection results are fluctuations if the samples slightly change and consistent interpretation on ecological similarity among species tends to be difficult. We use the bootstrap methods for canonical correspondence analysis to solve this problem. The bootstrap method results show that the variations of coordinate points are inversely proportional to the number of observations and coverage rates with bootstrap confidence interval approximates to nominal probabilities.

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참고문헌

  1. Balbi, S. (1992). On stability in nonsymmetrical correspondence analysis using bootstrap, Statistica Applicata, 4, 543-552.
  2. Efron, B. (1979). Bootstrap methods: Another look at the Jackknife, Annals of Statistics, 7, 1-26. https://doi.org/10.1214/aos/1176344552
  3. Efron, B. (1982). The Jackknife, the Bootstrap and Other Resampling Plans, SIAM Monograph.
  4. Gabriel, K. R. (1971). The biplot display of matrices with the application to principal component analysis, Biometrika, 58, 453-467. https://doi.org/10.1093/biomet/58.3.453
  5. Greenacre, M. (1984). Theory and Application of Correspondence Analysis, Academic Press, London.
  6. Jhun, M., Jeong, H. C. and Jin, S. H. (1997). The Understanding of Bootstrap Method, Freeacademy.
  7. Kang, C. W., Kim, D. and Jhun, M. (2001). The application of bootstrap methods for correspondence analysis, The Korean Journal of Applied Statistics, 14, 401-413.
  8. Ko, H. S., Jhun, M. and Jeong, H. C. (2015). A comparison study for ordination methods in ecology, The Korean Journal of Applied Statistics, 28, 49-60. https://doi.org/10.5351/KJAS.2015.28.1.049
  9. Lebart, L., Morineau, A. and Warwick, K. (1984). Multivariate Descriptive Statistical Analysis: Correspondence Analysis and Related Techniques for Large Matrices, Wiley, New York.
  10. Ter Braak, C. J. F. (1986). Canonical correspondence analysis: A new eigenvector technique for multivariate direct gradient analysis, Ecology, 67, 1167-1179. https://doi.org/10.2307/1938672
  11. Woodroofe, M. and Jhun, M. (1988). Singh's theorem in the lattice case, Statistics and Probability Letters, 7, 201-205. https://doi.org/10.1016/0167-7152(88)90051-X