DOI QR코드

DOI QR Code

MANCOVA Biplot

Choi Yong-Seok;Hyun Gee Hong;Jung Su Mi

  • Published : 2005.12.01

Abstract

Biplot is a graphical display of the rows and columns of an n${\times}$p data matrix. In particular, Gabriel (1995) suggested the MANOVA biplot using singular value decomposition (SVD) with the averages of response variables according to treatment groups. But his biplot may cause wrong results by disregarding them when there exist covariate effects. In this paper, we will provide the MANCOA biplot based on the SVD with the parameter estimates for MANCOVA model when there exist covariate effects.

Keywords

Covariates;Biplot;MANOVA;MANCOVA;SVD

References

  1. 최용석 (999). 행렬도의 이해와 응용, 부산대학교출판부, 부산
  2. 최용석, 현기홍, 정수미 (2005). 다변량 분산분석에서 추정된 모수 행렬의 행렬도, Journal of the Korean Data Analysis Society, 7권 3호, 851-858
  3. 허명회 (1994). SAS 분산분석, 자유아카데미, 서울
  4. Gabriel, K. R. (1995). MANOVA biplots for two-way contingency tables In W. J. Krazanouiski (Ed.), Recent Advances in Descriptive Multivariate Analysis, 227-268. Clarendon Press. Oxford
  5. Smith, W. F. and Cornell, J. A(1993). Biplot displays for looking at multiple response data in maxture experiments, Technometrics, Vol 35, No.4, 337-350 https://doi.org/10.2307/1270268
  6. Timm, N. H. (997). Univariate and Multivariate General Linear Models: Theory and Application using SAS Software, SAS, North Carolina
  7. Timm, N. H. (2002). Applied Multivariate Analysis, Springer, New York
  8. 장대흥 (1996). 다반응값 자료에 대한 Biplot의 활용에 관한 연구, 한국통계학회논문집, 제 3권 1호, 1-9

Cited by

  1. A Study on the Relationship between Physique, Physical Fitness and Basic Skill Factors of Tennis Players in the Korea Tennis Association Using the Generalized Canonical Correlation Biplot and Procrustes Analysis vol.17, pp.6, 2010, https://doi.org/10.5351/CKSS.2010.17.6.917