Calibration confidence regions for asbestos fibers with heteroscedasticity and interlaboratory variability

References

• Baron, P. A. 2017. Measure of fibers. In NIOSH manual of analytical methods, ed. K. Ashley, and P. F. O’Connor, 5th ed. Atlanta, GA: NIOSH Centers for Disease Control and Prevention.
   Google Scholar
• Bhaumik, D. K., and R. D. Gibbons. 2005. Confidence regions for random-effects calibration curves with heteroscedastic errors. Technometrics 47:223–31. doi:10.1198/004017005000000021.
   Web of Science ®Google Scholar
• Camus, M., J. Siemiatycki, and B. Meek. 1998. Nonoccupational exposure to chrysotile asbestos and the risk of lung cancer. New England Journal of Medicine 338:1565–71. doi:10.1056/NEJM199805283382201.
   PubMed Web of Science ®Google Scholar
• Carroll, R. J., and D. Ruppert. 1988. Transformation and weighting in regression. New York, NY: Champman & Hall/CRC.
   Google Scholar
• Christensen, B. C., J. J. Godleski, C. R. Roelofs, et al. 2008. Asbestos burden predicts survival in pleural mesothelioma. Environmental Health Perspectives 116:723–26. doi:10.1289/ehp.11151.
   PubMed Web of Science ®Google Scholar
• Fitzmaurice, G. M., N. M. Laird, and J. H. Ware. 2004. Applied longitudinal analysis. Wiley series in probability and statistics. Hoboken, NJ: Wiley-Interscience.
   Google Scholar
• Gibbons, R. D., and D. K. Bhaumik. 2001. Weighted random-effects regression models with application to interlaboratory calibration. Technometrics 43:192–98. doi:10.1198/004017001750386305.
   Web of Science ®Google Scholar
• Hedeker, D., and R. D. Gibbons. 2006. Longitudinal data analysis. Hoboken, NJ: Wiley.
   Google Scholar
• International Agency for Research on Cancer, World Health Organization. 1998. Asbestos. IARC Monographs on the Evaluation of Carcinogenic Risks to Humans 14. Lyon, France: IARC.
   Google Scholar
• Krishnamoorthy, K., T. Mathew, and S. Mukherjee. 2008. Normal-based methods for a gamma distribution: Prediction and tolerance intervals and stress-strength reliability. Technometrics 50:69–78. doi:10.1198/004017007000000353.
   Web of Science ®Google Scholar
• Lessaffre, E., and B. Spiessens. 2001. On the effects of the number of quadrature points in a logistic random-effects model: An example. Applied Statistics 50:325–35.
   Web of Science ®Google Scholar
• Loomis, D., J. Dement, D. Richardson, and S. Wolf. 2010. Asbestos fibre dimensions and lung cancer mortality among workers exposed to chrysotile. Occupational and Environmental Medicine 67:580–84. doi:10.1136/oem.2009.050120.
   PubMed Web of Science ®Google Scholar
• McCullagh, P., and J. A. Nelder. 1989. Generalized linear models, 2nd ed. New York, NY: Champman & Hall/CRC.
   Google Scholar
• Pinheiro, J. C., and D. M. Bates. 1995. Approximations to the log-likelihood function in the nonlinear mixed-effects model. Journal of Computational and Graphical Statistics 4:12–35.
   Google Scholar
• Rocke, D. M., B. Durbin, M. Wilson, and H. D. Kahn. 2003. Modeling uncertainty in the measurement of low-level analytes in environmental analysis. Ecotoxicology and Environmental Safety 56:78–92. doi:10.1016/S0147-6513(03)00052-6.
   PubMed Web of Science ®Google Scholar
• Rocke, D. M., and S. Lorenzato. 1995. A two-component model for measurement error in analytical chemistry. Technometrics 37:176–84. doi:10.1080/00401706.1995.10484302.
   Web of Science ®Google Scholar
• Rooker, S. J., N. P. Vaughan, and J. M. Le Guen. 1982. On the visibility of fibers by phase contrast microscopy. American Industrial Hygiene Association Journal 43:505–15. doi:10.1080/15298668291410125.
   Web of Science ®Google Scholar
• Stayner, L., E. Kuempel, S. Gilbert, M. Hein, and J. Dement. 2008. An epidemiological study of the role of chrysotile asbestos fibre dimensions in determining respiratory disease risk in exposed workers. Occupational and Environmental Medicine 65:613–19. doi:10.1136/oem.2007.035584.
   PubMed Web of Science ®Google Scholar
• Stayner, L. T., D. A. Dankovic, and R. A. Lemen. 1996. Occupational exposure to Chrysotile asbestos and cancer risk: A review of the amphibole hypothesis. American Journal of Public Health 86:179–86. doi:10.2105/AJPH.86.2.179.
   PubMed Web of Science ®Google Scholar
• Wilson, E. B., and M. M. Hilferty. 1931. The Distribution of Chi-Squares. Proceedings of the National Academy of Sciences 17:684–688.
   PubMed Web of Science ®Google Scholar