查詢結果分析
相關文獻
- Contingently and Virtually Balanced Incomplete Block Designs and Their Efficiencies under Various Optimality Criteria
- Efficient Semi-Latin Squares
- 均勻設計及其在化學和化工中的應用
- Optimal Designs for Binary Response Experiments with Two Design Variables
- Optimal Designs for Polynomial Regression When the Degree is Not Known
- Optimal Regression Designs under Random Block-effects Models
- Designing for Minimally Dependent Observations
- Optimal, Non-Binary, Variance Balanced Designs
- Optimal Block Designs with Minimal and Nearly Minimal Number of Units
- Approximate Information Matrices for Estimating a Given Set of Contrasts
頁籤選單縮合
題 名 | Contingently and Virtually Balanced Incomplete Block Designs and Their Efficiencies under Various Optimality Criteria |
---|---|
作 者 | Hedayat,A. S.; Stufken,J.; Zhang,W. G.; | 書刊名 | Statistica Sinica |
卷 期 | 5:2 1995.07[民84.07] |
頁 次 | 頁575-591 |
分類號 | 319.16 |
關鍵詞 | 隨機樣本; 最優設計; 區組設計; A-optimality; BIB(22, 33, 12, 8, 4); BIB designs; Block designs; D-optimality; E-optimality; Optimal designs; Simple random sampling; |
語 文 | 英文(English) |
英文摘要 | Even when a parameter set (ν, κ, λ) satisfies the necessary conditions for the existence of a Balanced Incomplete Block (BIB) design, the actual design may not exist or its existence may be unknown. We introduce two classes of designs, Contingently Balanced Incomplete Block (C-BIB) designs and Virtually Balanced Incomplete Block (V-BIB) designs, that may be considered in such cases. Both C-BIB and V-BIB designs are constructed from Unfinished Balanced Incomplete Block (U-BIB) designs, which can be constructed by a sequential search algorithm. Some V-BIB designs are shown to be highly efficient under A-, D-, and E-optimality criteria. Special attention is given to the parameter set (22, 8, 4) for which the existence of a BIB design is unknown. Highly efficient V-BIB designs exist for this parameter set. Also, C-BIB and V-BIB designs for (ν, κ, λ) may be used to construct BIB designs for parameter sets (ν, κ, tλ), where t > 1 is an integer. This generalizes the well-known result that multiple copies of a BIB design form again a BIB design. |
本系統中英文摘要資訊取自各篇刊載內容。