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Full text of this paper is not available in the ETD Center. Copies may be available for inter-library loan from University of Cincinnati or may be available for purchase from Proquest/UMI

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Statistical Approach to Detect and Estimate Hormesis

Deng, Chunqin

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2001, PhD, University of Cincinnati, Medicine : Environmental Health Sciences.
Hormesis is described as a dose response relationship that is stimulatory at low doses, but inhibitory at higher doses in dose-response experiments. In order to be able to incorporate hormesis in quantitative risk assessment and regulatory decision-making activities, hormesis must be quantitatively defined and statistically tested. A non-parametric rank test and a model-based approach are proposed to detect hormesis. In non-parametric rank test, the Mark-Wolfe’s procedure is applied to test the null hypothesis H0 : μ1 =…≤μk vs. the alternative hormesis hypothesis (or umbrella hypothesis) HA2 : there exists an l, 1<l<k, such that μ1 ≤…≤μl ≤…≤μi. In model-based approach, we use the full model to describe the dose-response relationship incorporating the hormetic effect and the reduced model to describe the dose-response relationship without the hormetic effect. The full model has an extra parameter which could measure the amount of increase in response at low doses. A test of significance of this extra parameter is essentially a test for hormesis. Under the model-based approach, the ratio of the area under the hormetic zone (AUCH)and the area under the best-fitted curve from zero to zero equivalent point (AUCZEP) is proposed to estimate the magnitude of the hormetic effect. Finally, to incorporate the hormetic effect into the estimation of no-observed-effect-concentration (NOEC), a Stepwise Practical Equivalence method is proposed. The stepwise practical equivalence test is more powerful and strongly controls the probability of falsely identifying a toxic concentration as the NOEC. It is robust to the hormetic and interrupted dose-response relationships.
Dr. Rakesh Shulkla (Advisor)
1 p.

Recommended Citations

Citations

  • Deng, C. (2001). Statistical Approach to Detect and Estimate Hormesis [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1004369636

    APA Style (7th edition)

  • Deng, Chunqin. Statistical Approach to Detect and Estimate Hormesis. 2001. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1004369636.

    MLA Style (8th edition)

  • Deng, Chunqin. "Statistical Approach to Detect and Estimate Hormesis." Doctoral dissertation, University of Cincinnati, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1004369636

    Chicago Manual of Style (17th edition)