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

Abstract

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Aug 09, 2020
Source ID
10.1002/pst.2047

Entities

People

  • Aiyi Liu
  • Sandipan Dutta
  • Susan Halabi
  • Yuan Wu

Organizations

  • Duke University
  • Eunice Kennedy Shriver National Institute of Child Health and Human Development
  • National Institutes of Health
  • Old Dominion University
  • United States Army Medical Research Institute of Infectious Diseases

Tags

Fields of Study

  • Mathematics

Readers

  • Statistical inference.