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 journalArticlepeer-review

2 Scopus citations


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
Issue number2
StatePublished - Mar 2009


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


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