Adaptive Order-of-Addition Experiments via the Quick-Sort Algorithm Article Swipe
Dennis K. J. Lin
,
Jianbin Chen
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1080/00401706.2023.2174601
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1080/00401706.2023.2174601
The order-of-addition (OofA) experiment has received a great deal of attention in the recent literature. The primary goal of the OofA experiment is to identify the optimal order in a sequence of m components. All the existing methods are model-dependent and are limited to small number of components. The appropriateness of the resulting optimal order heavily depends on (a) the correctness of the underlying assumed model, and (b) the goodness of model fitting. Moreover, these methods are not applicable to deal with large m (e.g., m≥7). With this in mind, this article proposes an efficient adaptive methodology, building upon the quick-sort algorithm, to explore the optimal order without any model specification. Compared to the existing work, the run sizes of the proposed method needed to achieve the optimal order are much smaller. Theoretical supports are given to illustrate the effectiveness of the proposed method. The proposed method is able to obtain the optimal order for large m (e.g., m≥20). Numerical experiments are used to demonstrate the effectiveness of the proposed method.
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Concepts
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1080/00401706.2023.2174601
- OA Status
- green
- Cited By
- 6
- References
- 24
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4321614478
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4321614478Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1080/00401706.2023.2174601Digital Object Identifier
- Title
-
Adaptive Order-of-Addition Experiments via the Quick-Sort AlgorithmWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
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2023-02-23Full publication date if available
- Authors
-
Dennis K. J. Lin, Jianbin ChenList of authors in order
- Landing page
-
https://doi.org/10.1080/00401706.2023.2174601Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://figshare.com/articles/dataset/Adaptive_Order-of-Addition_Experiments_via_the_Quick-Sort_Algorithm/22148130Direct OA link when available
- Concepts
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Correctness, sort, Computer science, Algorithm, Sequence (biology), Order (exchange), Mathematical optimization, Mathematics, Economics, Information retrieval, Genetics, Finance, BiologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
6Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 4, 2024: 2Per-year citation counts (last 5 years)
- References (count)
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24Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.existing | 36, 114 |
| abstract_inverted_index.fitting. | 72 |
| abstract_inverted_index.goodness | 69 |
| abstract_inverted_index.identify | 24 |
| abstract_inverted_index.m≥20). | 158 |
| abstract_inverted_index.proposed | 121, 142, 145, 169 |
| abstract_inverted_index.proposes | 92 |
| abstract_inverted_index.received | 5 |
| abstract_inverted_index.sequence | 30 |
| abstract_inverted_index.smaller. | 131 |
| abstract_inverted_index.supports | 133 |
| abstract_inverted_index.Moreover, | 73 |
| abstract_inverted_index.Numerical | 159 |
| abstract_inverted_index.attention | 10 |
| abstract_inverted_index.efficient | 94 |
| abstract_inverted_index.resulting | 52 |
| abstract_inverted_index.algorithm, | 101 |
| abstract_inverted_index.applicable | 78 |
| abstract_inverted_index.experiment | 3, 21 |
| abstract_inverted_index.illustrate | 137 |
| abstract_inverted_index.quick-sort | 100 |
| abstract_inverted_index.underlying | 63 |
| abstract_inverted_index.Theoretical | 132 |
| abstract_inverted_index.components. | 33, 47 |
| abstract_inverted_index.correctness | 60 |
| abstract_inverted_index.demonstrate | 164 |
| abstract_inverted_index.experiments | 160 |
| abstract_inverted_index.literature. | 14 |
| abstract_inverted_index.methodology, | 96 |
| abstract_inverted_index.effectiveness | 139, 166 |
| abstract_inverted_index.specification. | 110 |
| abstract_inverted_index.appropriateness | 49 |
| abstract_inverted_index.model-dependent | 39 |
| abstract_inverted_index.order-of-addition | 1 |
| cited_by_percentile_year.max | 98 |
| cited_by_percentile_year.min | 94 |
| corresponding_author_ids | https://openalex.org/A5100628517 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 2 |
| corresponding_institution_ids | https://openalex.org/I125839683 |
| citation_normalized_percentile.value | 0.77184885 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |