Blocked factor aliased effect-number pattern and column rank of blocked regular designs
| Autor: | Shili Ye, Runchu Zhang, Dongying Wang, Qi Zhou |
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| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Rank (linear algebra) Fractional factorial design 010103 numerical & computational mathematics 01 natural sciences Combinatorics 010104 statistics & probability Factor (programming language) 0101 mathematics Statistics Probability and Uncertainty computer Column (data store) Mathematics computer.programming_language |
| Zdroj: | Metrika. 80:133-152 |
| ISSN: | 1435-926X 0026-1335 |
| DOI: | 10.1007/s00184-016-0595-7 |
| Popis: | In factorial experiments, estimation precision of specific factor effects depends not only on design selection but also on factor assignments to columns of selected designs. Usually, different columns in a design play different roles when estimating factor effects. Zhou et al. (Can J Stat 41:540-555, 2013) introduced a factor aliased effect-number pattern (F-AENP) and proposed a column ranking scheme for all the GMC \(2^{n-m}\) designs with \(5N/16+1\le n\le N-1\), where \(N=2^{n-m}\). In this paper, we first introduce a blocked factor aliased effect-number pattern (B-F-AENP) for blocked regular designs as an extension of the F-AENP. Then, by using the B-F-AENP, we propose a column ranking scheme for all the B\(^1\)-GMC \(2^{n-m}:2^s\) designs with \(5N/16+1\le n\le N-1\), as well as an assignment strategy for important factors. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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