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Score and deviance residuals based on the full likelihood approach in survival analysis.

Publication ,  Journal Article
Halabi, S; Dutta, S; Wu, Y; Liu, A
Published in: Pharm Stat
November 2020

Assuming the proportional hazards model and non-informative censoring, the full likelihood approach is used to obtain two new residuals. The first residual is based on the ideas used in obtaining score-type residuals similar to the partial likelihood approach. The second type of residual is based on the concept of deviance residuals. Extensive simulations are conducted to compare the performance of the residuals from the full likelihood-based approach with those of the partial likelihood method. We demonstrate through simulation studies that the full likelihood-based residuals are more efficient than their partial likelihood counterpart in identifying potential outliers when the censoring proportion is high. The graphical techniques are used to illustrate the applications of these residuals using some examples.

Duke Scholars

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Published In

Pharm Stat

DOI

EISSN

1539-1612

Publication Date

November 2020

Volume

19

Issue

6

Start / End Page

940 / 954

Location

England

Related Subject Headings

  • Time Factors
  • Survival Analysis
  • Statistics & Probability
  • Research Design
  • Proportional Hazards Models
  • Models, Statistical
  • Male
  • Liver Cirrhosis, Biliary
  • Likelihood Functions
  • Humans
 

Citation

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Halabi, S., Dutta, S., Wu, Y., & Liu, A. (2020). Score and deviance residuals based on the full likelihood approach in survival analysis. Pharm Stat, 19(6), 940–954. https://doi.org/10.1002/pst.2047
Halabi, Susan, Sandipan Dutta, Yuan Wu, and Aiyi Liu. “Score and deviance residuals based on the full likelihood approach in survival analysis.Pharm Stat 19, no. 6 (November 2020): 940–54. https://doi.org/10.1002/pst.2047.
Halabi S, Dutta S, Wu Y, Liu A. Score and deviance residuals based on the full likelihood approach in survival analysis. Pharm Stat. 2020 Nov;19(6):940–54.
Halabi, Susan, et al. “Score and deviance residuals based on the full likelihood approach in survival analysis.Pharm Stat, vol. 19, no. 6, Nov. 2020, pp. 940–54. Pubmed, doi:10.1002/pst.2047.
Halabi S, Dutta S, Wu Y, Liu A. Score and deviance residuals based on the full likelihood approach in survival analysis. Pharm Stat. 2020 Nov;19(6):940–954.
Journal cover image

Published In

Pharm Stat

DOI

EISSN

1539-1612

Publication Date

November 2020

Volume

19

Issue

6

Start / End Page

940 / 954

Location

England

Related Subject Headings

  • Time Factors
  • Survival Analysis
  • Statistics & Probability
  • Research Design
  • Proportional Hazards Models
  • Models, Statistical
  • Male
  • Liver Cirrhosis, Biliary
  • Likelihood Functions
  • Humans