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題 名 | 用多邊陣研究混合型正交試驗 |
---|---|
作 者 | 張應山; | 書刊名 | 中國統計學報 |
卷 期 | 29:2 1991.09[民80.09] |
頁 次 | 頁197-218 |
分類號 | 319.5 |
關鍵詞 | 正交試驗; 多邊陣; 混合型; |
語 文 | 中文(Chinese) |
中文摘要 | 用多邊矩陣,我們已經構作出了許多混合型正交表,但對多邊矩陣理論所知的人並不多,本文先簡單敍述一下多邊矩陣的概念,以及它與試驗設計的關係,並給出正交設計的意義及優良性,再討論相應於此設計的混合型正交表,論述多邊矩陣的正交與正交表的正交的對應性質,並用此性質構作幾個簡單的混合型正交表。 |
英文摘要 | By using multi-matrix theory, we have constructed many asymmetrical orghogonal arrays. But the multi-matrix theory is not known to many statisticians. In this paper, we introduce the concept of multi-matrix and asymmetrical orthogonal arrays and discusse the orthogonal property of decompositive multi-matrix. We then study the porblems of ANOVA by using the multi-matrix theory and the matrix expression of the decompositive multi-matrix. The equivalent relation between orthogonal matrix and orthogonal array is proved. By using this relation we constructe some orthogonal arrays. |
本系統中英文摘要資訊取自各篇刊載內容。