Diagnostics for binomial response models using power divergence statistics

Edward J. Bedrick, Chih Ling Tsai

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The family of power divergence statistics (Cressie and Read, 1984) is used to construct diagnostics for dose-response models. Single case deletion diagnostics based on maximum likelihood, minimum chi-square, and minimum Hellinger distance estimates are included in this class. One-step approximations to outlier tests and influence measures are given. We also discuss method to evaluate the sensitivity of power divergence estimates and diagnostics to the choice of the power divergence parameter. The techniques are illustrated on a data set.

Original languageEnglish (US)
Pages (from-to)381-392
Number of pages12
JournalComputational Statistics and Data Analysis
Issue number4
StatePublished - May 1993
Externally publishedYes


  • Cook's distance
  • Logistic regression
  • Minimum Hellinger distance estimation
  • Minimum chi-square estimation
  • Outlier
  • Residual

ASJC Scopus subject areas

  • Statistics and Probability
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics


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