二水平正规设计中主效应的混杂性质

米乃瓦尔·亚森; 李智明

doi:10.13568/j.cnki.651094.651316.2022.03.18.0001

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二水平正规设计中主效应的混杂性质

数理科学 | 更新时间：2026-01-21

- 二水平正规设计中主效应的混杂性质
- 二水平正规设计中主效应的混杂性质
- 新疆大学学报（自然科学版中英文） 2023年40卷第2期页码：175-183
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  国家自然科学基金“S水平正规及非正规设计的一般最小低阶混杂理论”（12061070）;新疆维吾尔自治区自然科学基金“因析设计的一般最小低阶混杂准则及性质”（2021D01E13）,“多水平一般最小混杂设计的研究及应用”（2018Q011）
- DOI：10.13568/j.cnki.651094.651316.2022.03.18.0001
  中图分类号： O212.6
- 纸质出版：2023
- 稿件说明：
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[1]米乃瓦尔·亚森,李智明.二水平正规设计中主效应的混杂性质[J].新疆大学学报(自然科学版)(中英文),2023,40(02):175-183.
[1]米乃瓦尔·亚森,李智明.二水平正规设计中主效应的混杂性质[J].新疆大学学报(自然科学版)(中英文),2023,40(02):175-183. DOI： 10.13568/j.cnki.651094.651316.2022.03.18.0001.

DOI：10.13568/j.cnki.651094.651316.2022.03.18.0001.

摘要

研究了二水平正规设计中主效应与其它各阶因子之间混杂指标集的计算公式，讨论它与别名矩阵、别名效应数型之间的关系，根据别名效应数型得到混杂指标集中重要元素的计算公式．通过表格列出在不同条件下的最优设计并进行比较．

Abstract

The paper aims to study the formulas of the confounding index pattern between main effects and other-order effects in two-level regular designs. The relationship between the alias matrix and aliased effect-number pattern is investigated with the index pattern. Through the aliased effect-number pattern

we provide the formula of the important elements in the confounding index pattern. The optimal designs are listed and compared under different conditions in tables.

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references

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