A general construction method for component orthogonal arrays Article Swipe
Chunyan Wang
,
Caleb King
,
Dennis K. J. Lin
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1002/qre.3438
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1002/qre.3438
Order‐of‐addition (OofA) experiments have gained renewed attention in recent years, especially in regard to their design. For these experiments, the response is determined by the order in which components are added. A particularly useful design introduced in OofA experiments is the component orthogonal array (COA). The COA maintains pairwise balance between any two components while also ensuring each component appears equally often in each position. In this paper, we propose an efficient algorithm for constructing COAs which can be naturally split into blocks of Latin squares. These blocks can be run sequentially in a systematic order, potentially requiring fewer runs to identify optimal orderings, while also preserving good properties should the overall design be needed. We also show how to extend this construction method to create designs for any number of components.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1002/qre.3438
- https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/qre.3438
- OA Status
- bronze
- Cited By
- 3
- References
- 26
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4386561262
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- OpenAlex ID
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https://openalex.org/W4386561262Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1002/qre.3438Digital Object Identifier
- Title
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A general construction method for component orthogonal arraysWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-09-07Full publication date if available
- Authors
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Chunyan Wang, Caleb King, Dennis K. J. LinList of authors in order
- Landing page
-
https://doi.org/10.1002/qre.3438Publisher landing page
- PDF URL
-
https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/qre.3438Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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bronzeOpen access status per OpenAlex
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https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/qre.3438Direct OA link when available
- Concepts
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Component (thermodynamics), Pairwise comparison, Orthogonal array, Computer science, Position (finance), Mathematical optimization, Order (exchange), Algorithm, Mathematics, Artificial intelligence, Machine learning, Physics, Taguchi methods, Economics, Thermodynamics, FinanceTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
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2025: 2, 2024: 1Per-year citation counts (last 5 years)
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26Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.appears | 60 |
| abstract_inverted_index.balance | 50 |
| abstract_inverted_index.between | 51 |
| abstract_inverted_index.design. | 16 |
| abstract_inverted_index.designs | 127 |
| abstract_inverted_index.equally | 61 |
| abstract_inverted_index.needed. | 115 |
| abstract_inverted_index.optimal | 103 |
| abstract_inverted_index.overall | 112 |
| abstract_inverted_index.propose | 70 |
| abstract_inverted_index.renewed | 6 |
| abstract_inverted_index.Abstract | 0 |
| abstract_inverted_index.ensuring | 57 |
| abstract_inverted_index.identify | 102 |
| abstract_inverted_index.pairwise | 49 |
| abstract_inverted_index.response | 21 |
| abstract_inverted_index.squares. | 86 |
| abstract_inverted_index.algorithm | 73 |
| abstract_inverted_index.attention | 7 |
| abstract_inverted_index.component | 42, 59 |
| abstract_inverted_index.efficient | 72 |
| abstract_inverted_index.maintains | 48 |
| abstract_inverted_index.naturally | 80 |
| abstract_inverted_index.position. | 65 |
| abstract_inverted_index.requiring | 98 |
| abstract_inverted_index.components | 29, 54 |
| abstract_inverted_index.determined | 23 |
| abstract_inverted_index.especially | 11 |
| abstract_inverted_index.introduced | 36 |
| abstract_inverted_index.orderings, | 104 |
| abstract_inverted_index.orthogonal | 43 |
| abstract_inverted_index.preserving | 107 |
| abstract_inverted_index.properties | 109 |
| abstract_inverted_index.systematic | 95 |
| abstract_inverted_index.components. | 132 |
| abstract_inverted_index.experiments | 3, 39 |
| abstract_inverted_index.potentially | 97 |
| abstract_inverted_index.constructing | 75 |
| abstract_inverted_index.construction | 123 |
| abstract_inverted_index.experiments, | 19 |
| abstract_inverted_index.particularly | 33 |
| abstract_inverted_index.sequentially | 92 |
| abstract_inverted_index.Order‐of‐addition | 1 |
| cited_by_percentile_year.max | 97 |
| cited_by_percentile_year.min | 90 |
| corresponding_author_ids | https://openalex.org/A5101714048 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 3 |
| corresponding_institution_ids | https://openalex.org/I78988378 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/11 |
| sustainable_development_goals[0].score | 0.7599999904632568 |
| sustainable_development_goals[0].display_name | Sustainable cities and communities |
| citation_normalized_percentile.value | 0.77077759 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |