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Balancing type I and type II error probabilities: further comments on proof of safety vs proof of hazard
Authors:Burt Holland  Nasser K Ordoukhani
Institution:1. Department of Statistics , Temple University , Philadelphia, Pennsylvania, 19122;2. Department of Mathematics , East Carolina University , Greenville, North Carolina, 27858
Abstract:This paper elaborates on earlier contributions of Bross (1985) and Millard (1987) who point out that when conducting conventional hypothesis tests in order to “prove” environmental hazard or environmental safety, unrealistically large sample sizes are required to achieve acceptable power with customarily-used values of Type I error probability. These authors also note that “proof of safety” typically requires much larger sample sizes than “proof of hazard”. When the sample has yet to be selected and it is feared that the sample size will be insufficient to conduct a reasonable.
Keywords:environmental testing  joint error probability  power of test  sample size determination
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