指標函數之簡介

An Introduction to Indicator Function

彭健育(Chien-Yu Peng) ； 鄭少爲(Shao-Wei Cheng)

《中國統計學報》 42卷4期 (2004/12) Pp. 329-348

https://doi.org/10.29973/JCSA.200412.0001

摘要

本徧文章回顧近來針對非正規設計所發展一強而有力的工具—指標函數(indicator function)。就像在正規設計中的定義對比子群的角色，指標函數態定義出設計矩陣，瞭解模型中效應別名的型態，進而態訂定評斷設計的凖則，找出最佳設計。文章就此分章斷節，並籍由與定義對比子群在正規設計上的角色互相對照，來一介紹指標函數的定義、性質以及在實驗設計上的應用。

關鍵字

指標函數 ； 非正規設計 ； 定義對比子群 ； 別名 ； 廣義字長 ； 廣義字長型態

並列摘要

This article reviews a powerful tool for nonregular designs-indicator function. It plays a similar role like defining contrast subgroup in regular designs. Through indicator function, we can define design matrix, derive aliasing relations, and develop criteria to find optimal designs on nonregular designs. In this article, with contrast to defining contrast subgroup, the definition, properties and applications of indicator function are introduced.

並列關鍵字

Indicator function ； nonregular design ； defining contrast subgroup ； aliasing ； generalized word length ； extended word length pattern

參考文獻

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