摘 要
本文探討在一元配置（One-way layout）實驗設計中，藥物劑量反應可能不符合常態分布並且各劑量組變異或分散度不盡相同時，藥物最低有效劑量（Minimum effective dose，簡記MED）之鑑別，此處的最低有效劑量為具有療效的最小劑量水準。本文在此一廣義之Behrens-Fisher問題之下，提出兩種Mann-Whitney修正統計量，各自建立封閉性的多重檢定方法進行藥物最低有效劑量（MED）之穩健鑑別。然後利用蒙地卡羅（Monte Carlo）方法模擬本文所提檢定方法及近期文獻中某些方法之實驗誤差率（Experimentwise error rate，簡記EWE）、族誤差率（Familywise error rate，簡記FWE）、檢定力（Power）及偏誤（Bias）。最後進行實例分析說明所提檢定方法之應用。

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