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Assessment of local influence on Cox’s proportional hazards model

Assessment of local influence on Cox’s proportional hazards model The second order approach of local influence (see [15]) is developed and applied to Cox’s proportional hazards model, and compared with Cook's local influence approach (see [6] and [13]) which was used in this model. To study local influence, we perturb not only all cases simultaneously, but also cases individually to obtain “direction curvature” in directionl and “curvature” for single case. Some examples are used to illustrate these methods. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Assessment of local influence on Cox’s proportional hazards model

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Publisher
Springer Journals
Copyright
Copyright © 1998 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02683826
Publisher site
See Article on Publisher Site

Abstract

The second order approach of local influence (see [15]) is developed and applied to Cox’s proportional hazards model, and compared with Cook's local influence approach (see [6] and [13]) which was used in this model. To study local influence, we perturb not only all cases simultaneously, but also cases individually to obtain “direction curvature” in directionl and “curvature” for single case. Some examples are used to illustrate these methods.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Jul 4, 2007

References

  • A Graphical Method for Assessing Goodness of Fit in Cox's Proportional Hazards Model
    Arjas, E.
  • Relative Curvature Measures of Nonlinearity (with discussion)
    Bates, D.M.; Watts, D.G.
  • Nonlinear Regression Analysis and Its Application
    Bates, D.M.; Watts, D.G.
  • Approximate Case Influence for the Proportional Hazards Regression Model with Censored Data
    Cain, K.C.; Lange, N.T.
  • Diagnostic Plots in Cox's Regression Model
    Chen, C.H.; Wang, P.C.
  • Assessment of Local Influence (with discussion)
    Cook, R.D.
  • Partial Likelihood
    Cox, D.R.
  • Efficiency of Cox's Likelihood Function for Censored Data
    Efron, B.
  • Assessing Influence in Regression Analysis with Censored Data
    Escobar, L.A.; Meeker, W.Q.
  • Diagnostics on Cox's Proportional Hazards Model
    Jiang, J.C.
  • Statistical Models and Methods for Lifetime Data
    Lawless, J.F.
  • Discussion on Professor Cox's Paper
    Peto, R.
  • Case-weighted Measures of Influence for Proportional Hazards Regression
    Pettitt, A.N.; Bin, I.; Daud
  • Influence Functions for Proportional Hazards Regression
    Reid, N.; Crépeau, H.
  • Second Order Approach to Local Influence
    Wu, X.Z.; Luo, Z.