A Bayesian Adjustment for Multiplicative Measurement Errors for a Calibration Problem with Application to a Stem Cell Study

Peng Zhang, Juxin Liu, Jianghu Dong, Jelena L. Holovati, Brenda Letcher, Locksley E. Mcgann

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We develop a Bayesian approach to a calibration problem with one interested covariate subject to multiplicative measurement errors. Our work is motivated by a stem cell study with the objective of establishing the recommended minimum doses for stem cell engraftment after a blood transplant. When determining a safe stem cell dose based on the prefreeze samples, the postcryopreservation recovery rate enters in the model as a multiplicative measurement error term, as shown in the model (2). We examine the impact of ignoring measurement errors in terms of asymptotic bias in the regression coefficient. According to the general structure of data available in practice, we propose a two-stage Bayesian method to perform model estimation via R2WinBUGS (Sturtz, Ligges, and Gelman, 2005,Journal of Statistical Software12, 1-16). We illustrate this method by the aforementioned motivating example. The results of this study allow routine peripheral blood stem cell processing laboratories to establish recommended minimum stem cell doses for transplant and develop a systematic approach for further deciding whether the postthaw analysis is warranted.

Original languageEnglish (US)
Pages (from-to)268-274
Number of pages7
JournalBiometrics
Volume68
Issue number1
DOIs
StatePublished - Mar 2012
Externally publishedYes

Keywords

  • Bias in regression coefficients
  • Calibration
  • Engraftment time
  • Hematopoietic stem cell
  • Minimum recommended dose
  • Multiplicative measurement error models
  • Transplantation

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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