Premium
Confidence interval for random‐effects calibration curves with left‐censored data
Author(s) -
Aryal Subhash,
Bhaumik Dulal K.,
Santra Sourav,
Gibbons Robert D.
Publication year - 2009
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.920
Subject(s) - censoring (clinical trials) , confidence interval , statistics , calibration , mathematics , econometrics , interval estimation , coverage probability , computer science
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. Copyright © 2008 John Wiley & Sons, Ltd.