{"id":"https://openalex.org/W2052814528","doi":"https://doi.org/10.1080/00401706.1969.10490705","title":"Results on Factorial Designs of Resolution IV for the 2 n and 2 n 3 m Series","display_name":"Results on Factorial Designs of Resolution IV for the 2 n and 2 n 3 m Series","publication_year":1969,"publication_date":"1969-08-01","ids":{"openalex":"https://openalex.org/W2052814528","doi":"https://doi.org/10.1080/00401706.1969.10490705","mag":"2052814528"},"language":"he","primary_location":{"id":"doi:10.1080/00401706.1969.10490705","doi":"https://doi.org/10.1080/00401706.1969.10490705","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.1969.10490705","pdf_url":null,"source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029146792","display_name":"Barry H. Margolin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Barry H. Margolin","raw_affiliation_strings":["Yale University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yale University","institution_ids":["https://openalex.org/I32971472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029146792"],"corresponding_institution_ids":["https://openalex.org/I32971472"],"apc_list":null,"apc_paid":null,"fwci":4.2456,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.94301994,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"11","issue":"3","first_page":"431","last_page":"444"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":1.0,"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":1.0,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/factorial-design","display_name":"factorial design","score":0.906000018119812},{"id":"https://openalex.org/keywords/two-level-factors","display_name":"two-level factors","score":0.6669999957084656},{"id":"https://openalex.org/keywords/three-level-factors","display_name":"three-level factors","score":0.8029999732971191},{"id":"https://openalex.org/keywords/block-designs","display_name":"block designs","score":0.6610000133514404}],"concepts":[{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.8506464958190918},{"id":"https://openalex.org/C169222746","wikidata":"https://www.wikidata.org/wiki/Q4116558","display_name":"Factorial experiment","level":2,"score":0.6400641202926636},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6030938625335693},{"id":"https://openalex.org/C16469947","wikidata":"https://www.wikidata.org/wiki/Q2400745","display_name":"Fractional factorial design","level":3,"score":0.5795186758041382},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5440236330032349},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47663912177085876},{"id":"https://openalex.org/C183763347","wikidata":"https://www.wikidata.org/wiki/Q120976","display_name":"Factorial","level":2,"score":0.44922155141830444},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44207707047462463},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3265824019908905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26552265882492065},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24241992831230164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0776408314704895},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07741960883140564},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00401706.1969.10490705","doi":"https://doi.org/10.1080/00401706.1969.10490705","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.1969.10490705","pdf_url":null,"source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1557521658","https://openalex.org/W1564406183","https://openalex.org/W1608290281","https://openalex.org/W1981397726","https://openalex.org/W1986830650","https://openalex.org/W1992047397","https://openalex.org/W2000455043","https://openalex.org/W2006901874","https://openalex.org/W2024478595","https://openalex.org/W2030810530","https://openalex.org/W2036794320","https://openalex.org/W2041083023","https://openalex.org/W2065448160","https://openalex.org/W2132163900","https://openalex.org/W2237440835","https://openalex.org/W2322327754","https://openalex.org/W2904432740","https://openalex.org/W4205295188","https://openalex.org/W4229983099","https://openalex.org/W4240244213","https://openalex.org/W4241572235","https://openalex.org/W4242186041"],"related_works":["https://openalex.org/W2025719737","https://openalex.org/W2000455043","https://openalex.org/W2903874560","https://openalex.org/W2903981645","https://openalex.org/W2090981736","https://openalex.org/W28248511","https://openalex.org/W2001151996","https://openalex.org/W2029153510","https://openalex.org/W2030755327","https://openalex.org/W1567854676"],"abstract_inverted_index":{"Factorial":[0],"designs":[1,51,72,160,170],"of":[2,22,52,59,166,177],"resolution":[3,23,53,70,88,102,136,158],"III":[4],"are":[5,11,25,31,161],"such":[6,26],"that":[7,27,98,129],"all":[8,17,28,40],"main":[9,29],"effects":[10,30],"estimable,":[12],"ignoring":[13,39],"two-factor":[14,35],"interactions":[15,36],"and":[16,78,116],"higher":[18,41],"order":[19,42],"interactions.":[20,43],"Designs":[21],"IV":[24,54,71,89,103,137,159],"estimable":[32],"with":[33],"no":[34],"as":[37],"aliases,":[38],"The":[44,80],"general":[45],"technique":[46],"for":[47,73,84,134,163],"producing":[48],"2":[49,86,92,104,138,156,179],"n":[50,87,93,105,139,157,175],"is":[55,76,91,96,146,153],"a":[56,85,100,124,135],"specific":[57],"application":[58],"the":[60,120,130],"Box-Wilson":[61],"\u201cfold-over\u201d":[62],"theorem.":[63],"Recent":[64],"work":[65],"by":[66],"Steve":[67],"Webb":[68],"on":[69],"two-level":[74],"factors":[75],"discussed":[77],"extended.":[79],"miniium":[81],"run":[82,132,173],"requirement":[83,133],"design":[90,106,121],".":[94],"It":[95],"proved":[97],"if":[99],"minimal":[101],"has":[107],"each":[108],"factor":[109],"occurring":[110],"equally":[111],"often":[112],"at":[113],"its":[114],"high":[115],"low":[117],"levels,":[118],"then":[119],"must":[122],"be":[123,172],"fold-over":[125],"design.":[126],"A":[127],"proof":[128],"minimum":[131],"3":[140],"m":[141,143],"design,":[142],">":[144],"0,":[145],"3(n":[147],"+":[148],"2m":[149],"\u2212":[150],"1)":[151],"also":[152],"included.":[154],"Minimal":[155],"presented":[162],"various":[164],"values":[165],"n.":[167],"All":[168],"these":[169],"can":[171],"in":[174],"blocks":[176],"size":[178],"each.":[180]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}