{"id":"https://openalex.org/W7139040289","doi":"https://doi.org/10.3390/e28030340","title":"Blocked Two-Level Regular Designs with Individual Aliased Effect Number Pattern","display_name":"Blocked Two-Level Regular Designs with Individual Aliased Effect Number Pattern","publication_year":2026,"publication_date":"2026-03-18","ids":{"openalex":"https://openalex.org/W7139040289","doi":"https://doi.org/10.3390/e28030340","pmid":"https://pubmed.ncbi.nlm.nih.gov/41899992"},"language":"en","primary_location":{"id":"doi:10.3390/e28030340","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28030340","pdf_url":"https://www.mdpi.com/1099-4300/28/3/340/pdf?version=1773833478","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/28/3/340/pdf?version=1773833478","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053924398","display_name":"Min Cheol Han","orcid":"https://orcid.org/0000-0002-1465-5636"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Han","raw_affiliation_strings":["School of Statistics and Data Science, Qufu Normal University, Qufu 273165, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Data Science, Qufu Normal University, Qufu 273165, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shengli Zhao","orcid":"https://orcid.org/0000-0002-1581-9727"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengli Zhao","raw_affiliation_strings":["School of Statistics and Data Science, Qufu Normal University, Qufu 273165, China"],"raw_orcid":"https://orcid.org/0000-0002-1581-9727","affiliations":[{"raw_affiliation_string":"School of Statistics and Data Science, Qufu Normal University, Qufu 273165, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001857593","display_name":"Tao Sun","orcid":"https://orcid.org/0000-0002-3816-1964"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tao Sun","raw_affiliation_strings":["School of Statistics and Data Science, Qufu Normal University, Qufu 273165, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Data Science, Qufu Normal University, Qufu 273165, China","institution_ids":["https://openalex.org/I202126657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001857593"],"corresponding_institution_ids":["https://openalex.org/I202126657"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.29428626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"3","first_page":"340","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9722999930381775,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9722999930381775,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.008999999612569809,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.007600000128149986,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.5145999789237976},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.2930999994277954},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.28279998898506165},{"id":"https://openalex.org/keywords/window","display_name":"Window (computing)","score":0.2802000045776367},{"id":"https://openalex.org/keywords/design-of-experiments","display_name":"Design of experiments","score":0.2590999901294708}],"concepts":[{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.5145999789237976},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5097000002861023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5055999755859375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4352000057697296},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.33009999990463257},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.328000009059906},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2897000014781952},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.28279998898506165},{"id":"https://openalex.org/C2778751112","wikidata":"https://www.wikidata.org/wiki/Q835016","display_name":"Window (computing)","level":2,"score":0.2802000045776367},{"id":"https://openalex.org/C34559072","wikidata":"https://www.wikidata.org/wiki/Q2334061","display_name":"Design of experiments","level":2,"score":0.2590999901294708},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2554999887943268},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.2540000081062317}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e28030340","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28030340","pdf_url":"https://www.mdpi.com/1099-4300/28/3/340/pdf?version=1773833478","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:41899992","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41899992","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:13025214","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC13025214/","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC13025214/pdf/entropy-28-00340.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:904c1a1c17234283b591e46d912617d4","is_oa":true,"landing_page_url":"https://doaj.org/article/904c1a1c17234283b591e46d912617d4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 28, Iss 3, p 340 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e28030340","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28030340","pdf_url":"https://www.mdpi.com/1099-4300/28/3/340/pdf?version=1773833478","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6739201649","display_name":null,"funder_award_id":"12401326","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7139040289.pdf","grobid_xml":"https://content.openalex.org/works/W7139040289.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1970194710","https://openalex.org/W2034218799","https://openalex.org/W2034351518","https://openalex.org/W2045026939","https://openalex.org/W2050298777","https://openalex.org/W4249150173","https://openalex.org/W4412076686"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3],"blocked":[4,13],"individual":[5],"aliased":[6],"effect":[7],"number":[8],"pattern":[9],"(BI-AENP)":[10],"for":[11],"regular":[12],"designs":[14,45],"and":[15,41,55],"establishes":[16],"its":[17],"relationships":[18],"with":[19,49,51],"the":[20,34,52],"core":[21],"patterns":[22],"of":[23,38],"several":[24],"existing":[25],"optimality":[26],"criteria.":[27,58],"We":[28],"develop":[29],"an":[30],"algorithm":[31],"to":[32],"compute":[33],"BI-AENP.":[35],"A":[36],"catalogue":[37],"16-,":[39],"32-,":[40],"64-run":[42],"BI-AENP":[43],"2n-k:2r":[44],"is":[46],"presented,":[47],"together":[48],"comparisons":[50],"minimum":[53],"aberration":[54],"clear":[56],"effects":[57]},"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2026-03-20T00:00:00"}
