Confidence interval for random-effects calibration curves with left-censored data

Subhash Aryal, Dulal K. Bhaumik, Sourav Santra, Robert D. Gibbons

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

The presence of left censoring in environmental and engineering applications complicates tests of hypotheses and interval estimation. First, we construct a confidence interval (CI) for a true concentration using nonlinear mixed-effects regression models for analysis of interlaboratory calibration data with left censoring. Next, we impute the unobserved left-censored data with randomly simulated value. Finally, we compute the coverage probability via simulation and show that our methodology achieves the nominal level. We illustrate our methodology with a real-life example.

Original languageEnglish
Pages (from-to)181-189
Number of pages9
JournalEnvironmetrics
Volume20
Issue number2
DOIs
StatePublished - 1 Mar 2009

Keywords

  • Censored data
  • Confidence interval
  • Environmental monitoring
  • Interlaboratory testing

Fingerprint Dive into the research topics of 'Confidence interval for random-effects calibration curves with left-censored data'. Together they form a unique fingerprint.

  • Cite this

    Aryal, S., Bhaumik, D. K., Santra, S., & Gibbons, R. D. (2009). Confidence interval for random-effects calibration curves with left-censored data. Environmetrics, 20(2), 181-189. https://doi.org/10.1002/env.920