Skip to main content

Predictive Influence in the Log Normal Survival Model

  • Chapter
Modelling and Prediction Honoring Seymour Geisser

Abstract

We discuss case deletion diagnostics for prediction of future observations in the log normal survival analysis model. The point of view taken is that prediction is the primary inferential goal in a survival analysis setting and that particular observations in the sample may be influential with regard to that goal. We thus consider the Kullback-Leibler divergence as a measure of the discrepancy between predictive densities based on full and case deleted samples. A large Kullback-Leibler number for a particular case is an indication that deletion of that case may result in substantially different predictive inferences.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bedrick, EJ, Christensen, RR and Johnson, WO (1995). A new perspective on priors for generalized linear models, preprint

    Google Scholar 

  • Carlin, B.P. and Poison, N.G. (1991). An expected utility approach to influence diagnostics. J.Amer. Statist. Assoc.86, 1013–21

    Article  Google Scholar 

  • Clogg, C.C., Rubin, D.B., Schenker, N., Schultz, B. and Weidman, L. (1991). Multiple imputation of industry and occupation codes in census public-use samples using Bayesian logistic regression. J. Amer. Statist. Assoc.86, 68–78

    Article  Google Scholar 

  • Collett, D. (1994). Modelling Survival Data in Medical Research. Chapman and Hall, London

    Book  Google Scholar 

  • Cook, R.D. (1977). Detection of influential observations in linear regression. Technometrics19, 15–18

    Article  MATH  MathSciNet  Google Scholar 

  • Cook, R.D. (1979). Influential observations in linear regression. J. Amer. Statist. Assoc.74, 169–74

    Article  MATH  MathSciNet  Google Scholar 

  • Gelfand, A.E. and Smith, A.F.M. (1990). Sampling based approaches to calculating marginal densities. J. Amer. Statist. Assoc.85, 398–409

    Article  MATH  MathSciNet  Google Scholar 

  • Johnson, W.O. (1985). Influence measures for logistic regression: Another point of view. Biometrika72, 59–65

    Article  Google Scholar 

  • Johnson, W.O. and Geisser, S. (1982). Assessing the predictive influence of observations. In Statistics and Probability: Essays in Honor of CM. Rao, Eds. G. Kallianpur, PR. Krishnaiah and J.K. Gosh pp. 343–58. Amsterdam: North Holland

    Google Scholar 

  • Johnson, W.O. and Geisser, S. (1983). A predictive view of the detection and characterization of influential observations in regression. J. Amer. Statist. Assoc.78, 137–44

    Article  MATH  MathSciNet  Google Scholar 

  • Pregibon,D. (1981). Logistic regression diagnostics. Ann. Statist.9, 705–24

    Article  MathSciNet  Google Scholar 

  • Tanner, M.A. (1994) Tools for Statistical Inference. Springer-Verlag, New York.

    Google Scholar 

  • Tanner, M.A. and Wong, W.H. (1987). The calculation of posterior distributions by data augmentation. J. Amer. Statist. Assoc.82, 528–40

    Article  MATH  MathSciNet  Google Scholar 

  • Thomas, W. and Cook, R.D. (1990). Assessing influence on predictions from generalized linear models. Technometrics32, 59–65

    Article  MathSciNet  Google Scholar 

  • Weissfeld, L.A. and Schneider, H. (1990). Influence diagnostics for the normal linear model with censored data. Austrl. J. Statist.32, 11–20

    Article  MATH  Google Scholar 

  • Zellner, A and Rossi, P (1984). Bayesian analysis of dichotomous quantal response models. Journal of Econometrics, J. Econometrics25, 365–93

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer Science+Business Media New York

About this chapter

Cite this chapter

Johnson, W.O. (1996). Predictive Influence in the Log Normal Survival Model. In: Lee, J.C., Johnson, W.O., Zellner, A. (eds) Modelling and Prediction Honoring Seymour Geisser. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2414-3_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-2414-3_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7529-9

  • Online ISBN: 978-1-4612-2414-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics