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1 December 2007 Confidence Interval Construction for Relative Toxicity Endpoints such as LD50 or LD90 Ratios
Matthew Wheeler, William Fadel, Jacqueline Robertson, A. John Bailer
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Abstract

A common measure of the relative toxicity is the ratio of median lethal doses for responses estimated in two bioassays. Robertson and Preisler previously proposed a method for constructing a confidence interval for the ratio. The applicability of this technique in common experimental situations, especially those involving small samples, may be questionable because the sampling distribution of this ratio estimator may be highly skewed. To examine this possibility, we did a computer simulation experiment to evaluate the coverage properties of the Robertson and Preisler method. The simulation showed that the method provided confidence intervals that performed at the nominal confidence level for the range of responses often observed in pesticide bioassays. Results of this study provide empirical support for the continued use this technique.

Matthew Wheeler, William Fadel, Jacqueline Robertson, and A. John Bailer "Confidence Interval Construction for Relative Toxicity Endpoints such as LD50 or LD90 Ratios," Journal of Economic Entomology 100(6), 1945-1949, (1 December 2007). https://doi.org/10.1603/0022-0493(2007)100[1945:CICFRT]2.0.CO;2
Received: 1 May 2007; Accepted: 7 August 2007; Published: 1 December 2007
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KEYWORDS
coverage probabilities
delta method
probit regression
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