Confidence bands for logistic regression with restricted predictor variables

W. W. Piegorsch, G. Casella

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

Confidence bands are constructed for the logistic response function when there is an interval restriction on each of the predictor variables. The construction involves application of a general fitting procedure using Scheffe's S-method, described by Casella and Strawderman (1980, Journal of the American Statistical Association 75, 862-868). Specific details are given for the case of one predictor variable, along with details for a fixed-width alternative to the S-method bands. In the one-predictor case, Monte Carlo results suggest that both bands are conservative for small sizes, such as N = 25. By N = 200 the S-method's coverage probabilities are seen to attain their nominal levels while the fixed-width bands remain conservative. The procedures are exemplified with data from a genetic toxicology experiment.

Original languageEnglish (US)
Pages (from-to)739-750
Number of pages12
JournalBiometrics
Volume44
Issue number3
DOIs
StatePublished - 1988
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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