A mixture model with detection limits for regression analyses of antibody response to vaccine

Research output: Contribution to journalArticle

Abstract

Antibody concentration values as determined by quantitative assays often are left-censored due to detection limits or limits established for purposes of specificity. Standard analyses which assume the data arise from a single lognormal response distribution may not be appropriate, when more observations are censored than would be expected under such a model. Interference from maternal antibodies due to vaccination at an early age, for example, could result in a high proportion of nonresponders to vaccine. A mixture model consisting of a censored lognormal distribution and a point distribution located below the detection limit is proposed for such situations. Antibody data from a study of measles vaccine are used to illustrate the utility of this approach and the interpretation of the model parameters.

Original languageEnglish (US)
Pages (from-to)1570-1578
Number of pages9
JournalBiometrics
Volume51
Issue number4
DOIs
StatePublished - 1995

Keywords

  • Bioassay
  • Censoring
  • Lognormal distribution
  • Measles

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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