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Benchmark Analysis: Shopping with Proper Confidence

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  • Walter W. Piegorsch
  • R. Webster West

Abstract

We discuss the issue of using benchmark doses for quantifying (excess) risk associated with exposure to environmental hazards. The paradigm of low‐dose risk estimation in dose‐response modeling is used as the primary application scenario. Emphasis is placed on making simultaneous inferences on benchmark doses when data are in the form of proportions, although the concepts translate easily to other forms of outcome data.

Suggested Citation

  • Walter W. Piegorsch & R. Webster West, 2005. "Benchmark Analysis: Shopping with Proper Confidence," Risk Analysis, John Wiley & Sons, vol. 25(4), pages 913-920, August.
    • Handle: RePEc:wly:riskan:v:25:y:2005:i:4:p:913-920
    DOI: 10.1111/j.1539-6924.2005.00636.x
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    References listed on IDEAS

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    1. Kenny S. Crump, 1995. "Calculation of Benchmark Doses from Continuous Data," Risk Analysis, John Wiley & Sons, vol. 15(1), pages 79-89, February.
    2. Westfall P. H. & Soper K. A., 2001. "Using Priors to Improve Multiple Animal Carcinogenicity Tests," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 827-834, September.
    3. Kevin P. Brand & Paul J. Catalano & James K. Hammitt & Lorenz Rhomberg & John S. Evans, 2001. "Limitations to Empirical Extrapolation Studies: The Case of BMD Ratios," Risk Analysis, John Wiley & Sons, vol. 21(4), pages 625-640, August.
    4. David W. Gaylor & Ralph L. Kodell & James J. Chen & Janet A. Springer & Ronald J. Lorentzen & Robert J. Scheuplein, 1994. "Point Estimates of Cancer Risk at Low Doses," Risk Analysis, John Wiley & Sons, vol. 14(5), pages 843-850, October.
    5. Paul M. Schlosser & Patrick D. Lilly & Rory B. Conolly & Derek B. Janszen & Julie S. Kimbell, 2003. "Benchmark Dose Risk Assessment for Formaldehyde Using Airflow Modeling and a Single‐Compartment, DNA‐Protein Cross‐Link Dosimetry Model to Estimate Human Equivalent Doses," Risk Analysis, John Wiley & Sons, vol. 23(3), pages 473-487, June.
    6. Mirjam Moerbeek & Aldert H. Piersma & Wout Slob, 2004. "A Comparison of Three Methods for Calculating Confidence Intervals for the Benchmark Dose," Risk Analysis, John Wiley & Sons, vol. 24(1), pages 31-40, February.
    7. Daniela K. Nitcheva & Walter W. Piegorsch & R. Webster West & Ralph L. Kodell, 2005. "Multiplicity-Adjusted Inferences in Risk Assessment: Benchmark Analysis with Quantal Response Data," Biometrics, The International Biometric Society, vol. 61(1), pages 277-286, March.
    8. A. John Bailer & Randall J. Smith, 1994. "Estimating Upper Confidence Limits for Extra Risk in Quantal Multistage Models," Risk Analysis, John Wiley & Sons, vol. 14(6), pages 1001-1010, December.
    9. Obaid M. Al-Saidy & Walter W. Piegorsch & R. Webster West & Daniela K. Nitcheva, 2003. "Confidence Bands for Low-Dose Risk Estimation with Quantal Response Data," Biometrics, The International Biometric Society, vol. 59(4), pages 1056-1062, December.
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    Cited by:

    1. Kan Shao & Mitchell J. Small, 2011. "Potential Uncertainty Reduction in Model‐Averaged Benchmark Dose Estimates Informed by an Additional Dose Study," Risk Analysis, John Wiley & Sons, vol. 31(10), pages 1561-1575, October.
    2. Mitchell J. Small, 2008. "Methods for Assessing Uncertainty in Fundamental Assumptions and Associated Models for Cancer Risk Assessment," Risk Analysis, John Wiley & Sons, vol. 28(5), pages 1289-1308, October.
    3. Jingyu Liu & Walter W. Piegorsch & A. Grant Schissler & Susan L. Cutter, 2018. "Autologistic models for benchmark risk or vulnerability assessment of urban terrorism outcomes," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 181(3), pages 803-823, June.
    4. Signe M. Jensen & Christian Ritz, 2015. "Simultaneous Inference for Model Averaging of Derived Parameters," Risk Analysis, John Wiley & Sons, vol. 35(1), pages 68-76, January.
    5. Walter W. Piegorsch & Susan L. Cutter & Frank Hardisty, 2007. "Benchmark Analysis for Quantifying Urban Vulnerability to Terrorist Incidents," Risk Analysis, John Wiley & Sons, vol. 27(6), pages 1411-1425, December.

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