设计包含最多纯净两因子交互效应分量条件

统计研究 ›› 2007, Vol. 24 ›› Issue (4): 23-25.

设计包含最多纯净两因子交互效应分量条件

杨贵军

天津财经大学统计系

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-04-15 发布日期:2007-04-15

A Condition of Multilevel Designs ContainingMaximum Number of Clear Two-Factor Interaction Components

YANG Gui-jun

Received:1900-01-01 Revised:1900-01-01 Online:2007-04-15 Published:2007-04-15

摘要/Abstract

摘要： 对于任意的素数或者素数幂，本文通过分析设计中不纯净两因子交互效应(Two-Factor Interaction, 2FI)分量的个数，推导出某些设计包含最多纯净2FI分量的一个条件。该结论对构造包含最多纯净2FI分量的设计具有重要意义。

关键词: 纯净两因子交互效应分量, 弱最小低阶混杂, 分辨度

Abstract: In this paper, we provide a condition, under which designs contain the maximum number of clear 2FI components, by considering the number of not clear 2FI components in the designs, where is any prime or prime power. The conclusions obtained are very important to construct designs containing maximum number of clear 2FI components.

Key words: Clear 2FI components, Weak minimum aberration, Resolution

杨贵军. 设计包含最多纯净两因子交互效应分量条件[J]. 统计研究, 2007, 24(4): 23-25.

YANG Gui-jun. A Condition of Multilevel Designs ContainingMaximum Number of Clear Two-Factor Interaction Components[J]. Statistical Research, 2007, 24(4): 23-25.