由變異數分析來評估化學污染所產生之交互作用

Abstract

將化學物品含量分割成區間水準是探討交互作用常用的做法，但不幸的是透過變異數分析方法並不能告訴我們交互作用在某個特定水準是正(synergistic)還是負(antagonistic)。針對分割成區間水準的問題，我們提出一個分解方法去定義主效應與交互作用。我們導出這些效應的(主效應與交互作用)母體型式。至於交互作用的估計和假設檢定也在此篇有所討論。

The investigation of interactions is popularly done by classifying the chemicals into interval levels and verifying it through the analysis of variance technique which unfortunately can not tell us if an interaction in a specific level is positive (synergistic) or negative (antagonistic). We propose a decomposition method to define main effects and interactions for these interval levels. Population type formulations of these effects are developed. Estimation and hypothesis testing are also discussed.