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A Study on Decision Tree for Multiple Binary Responses

  • Published : 2003.12.01

Abstract

The tree method can be extended to multivariate responses, such as repeated measure and longitudinal data, by modifying the split function so as to accommodate multiple responses. Recently, some decision trees for multiple responses have been constructed by Segal (1992) and Zhang (1998). Segal suggested a tree can analyze continuous longitudinal response using Mahalanobis distance for within node homogeneity measures and Zhang suggested a tree can analyze multiple binary responses using generalized entropy criterion which is proportional to maximum likelihood of joint distribution of multiple binary responses. In this paper, we will modify CART procedure and suggest a new tree-based method that can analyze multiple binary responses using similarity measures.

Keywords

References

  1. Classification and Regression Trees Breiman,L.;Friedman,J.H.;Olshen,R.A.;Stone,C.J.
  2. Applied Statistics v.21 The Analysis of Multivariate Binary Data Cox,D.R. https://doi.org/10.2307/2346482
  3. Analysis of Longitudinal Data Diggle,P.J.;Liang,K.Y.;Zeger,S.L.
  4. Biometrika v.80 A Likelihood-Based Method for analyzing Longitudinal Binary Responses Fizmaurice,G.;Laird,N.M. https://doi.org/10.1093/biomet/80.1.141
  5. Topics in Applied Multivariate Analysis Automatic Interaction Detection Hawkins,D.M.;Kass,G.V.;Hawkins,D.H.(ed.)
  6. C4.5 Programs for Machine Learning Quinlan,J.R.
  7. Journal of the American Statistical Association v.87 Tree-Structured for Longitudinal Data Segal,M.R. https://doi.org/10.2307/2290271
  8. Statistics in Medicine v.15 A Tree-Based Method of analysis for Prospective Studies Zhang,H.P.;Holford,T.;Bracken,M.B. https://doi.org/10.1002/(SICI)1097-0258(19960115)15:1<37::AID-SIM144>3.0.CO;2-0
  9. Journal of the American Statistical Association v.93 Classification Trees for Multiple Binary Responses Zhang,H.P. https://doi.org/10.2307/2669615
  10. Biometrika v.77 Correlated Binary Regression Using a Quadratic Exponential Model Zhao,L.P.;Prentice,R.L. https://doi.org/10.1093/biomet/77.3.642