{"id":"https://openalex.org/W1997100120","doi":"https://doi.org/10.1080/00401706.1978.10489695","title":"Slope-Rotatable Central Composite Designs","display_name":"Slope-Rotatable Central Composite Designs","publication_year":1978,"publication_date":"1978-11-01","ids":{"openalex":"https://openalex.org/W1997100120","doi":"https://doi.org/10.1080/00401706.1978.10489695","mag":"1997100120"},"language":"en","primary_location":{"id":"doi:10.1080/00401706.1978.10489695","doi":"https://doi.org/10.1080/00401706.1978.10489695","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.1978.10489695","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/A5019960657","display_name":"Robert J. Hader","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. J. Hader","raw_affiliation_strings":["North Carolina State University","Department of Statistics , North Carolina State University , Raleigh , NC , 27650"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North Carolina State University","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Department of Statistics , North Carolina State University , Raleigh , NC , 27650","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066216894","display_name":"Sung H. Park","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Sung H. Park","raw_affiliation_strings":["Seoul National University","Department of Computer Science and Statistics , Seoul National University , Seoul 151, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Seoul National University","institution_ids":["https://openalex.org/I139264467"]},{"raw_affiliation_string":"Department of Computer Science and Statistics , Seoul National University , Seoul 151, Korea","institution_ids":["https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7147,"has_fulltext":false,"cited_by_count":93,"citation_normalized_percentile":{"value":0.67287234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"4","first_page":"413","last_page":"413"},"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.0,"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"}},{"id":"https://openalex.org/T13141","display_name":"Statistical Methods and Applications","score":0.0,"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/central-composite-design","display_name":"central composite design","score":0.9549999833106995},{"id":"https://openalex.org/keywords/rotatability","display_name":"rotatability","score":0.8299999833106995}],"concepts":[{"id":"https://openalex.org/C158245278","wikidata":"https://www.wikidata.org/wiki/Q4386982","display_name":"Equidistant","level":2,"score":0.8817349672317505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6923574209213257},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.6193905472755432},{"id":"https://openalex.org/C92397422","wikidata":"https://www.wikidata.org/wiki/Q5062082","display_name":"Central composite design","level":3,"score":0.5763452053070068},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5734416246414185},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5608544945716858},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5126820802688599},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5056416988372803},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.49073779582977295},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4300307035446167},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4206516742706299},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.41434749960899353},{"id":"https://openalex.org/C12590798","wikidata":"https://www.wikidata.org/wiki/Q3933199","display_name":"Replication (statistics)","level":2,"score":0.41342997550964355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3823065161705017},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.353579044342041},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2894415259361267},{"id":"https://openalex.org/C150077022","wikidata":"https://www.wikidata.org/wiki/Q3136137","display_name":"Response surface methodology","level":2,"score":0.16448146104812622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1578998565673828},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1534527838230133},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00401706.1978.10489695","doi":"https://doi.org/10.1080/00401706.1978.10489695","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.1978.10489695","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"},{"id":"doi:10.2307/1267641","doi":"https://doi.org/10.2307/1267641","is_oa":false,"landing_page_url":"https://doi.org/10.2307/1267641","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.44999998807907104}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2001617455","https://openalex.org/W2037207111","https://openalex.org/W2063241545","https://openalex.org/W2068901010","https://openalex.org/W2072715125"],"related_works":["https://openalex.org/W242500459","https://openalex.org/W3155515728","https://openalex.org/W4408136474","https://openalex.org/W7220030945","https://openalex.org/W2100828852","https://openalex.org/W823955599","https://openalex.org/W2037041275","https://openalex.org/W4293313360","https://openalex.org/W2915116170","https://openalex.org/W7219940586"],"abstract_inverted_index":{"An":[0],"analogue":[1],"of":[2,37,44,47,61,66,98,123,132,142],"the":[3,26,35,38,45,48,52,62,81,92,96,99,114,121,124,130,133,185],"Box-Hunter":[4],"rotatability":[5],"property":[6,85,94],"for":[7,76,95,147],"second":[8,135],"order":[9,136],"response":[10],"surface":[11],"designs":[12,21,106,161],"in":[13],"k":[14,150,156],"independent":[15,33],"variables":[16],"is":[17,41,54,57,69,86,128,168,174],"presented.":[18],"When":[19],"such":[20],"are":[22,165],"used":[23],"to":[24,31,71,184],"estimate":[25],"first":[27],"derivatives":[28],"with":[29,91],"respect":[30],"each":[32],"variable":[34],"variance":[36,74,97,122,131],"estimated":[39,100],"derivative":[40,53],"a":[42,59],"function":[43,60],"coordinates":[46],"point":[49,116,187],"at":[50],"which":[51],"evaluated":[55],"and":[56],"also":[58,169],"design.":[63],"By":[64],"choice":[65],"design":[67,82],"it":[68],"possible":[70],"make":[72],"this":[73],"constant":[75],"all":[77],"points":[78,179],"equidistant":[79],"from":[80],"origin.":[83],"This":[84],"called":[87],"slope-rotatability":[88,107],"by":[89,112,176],"analogy":[90],"corresponding":[93],"response,":[101],"\u0177.":[102],"For":[103,153],"central":[104,159],"composite":[105,160],"can":[108],"be":[109],"achieved":[110],"simply":[111],"adjusting":[113],"axial":[115,178],"distances":[117],"(\u03b1),":[118],"so":[119],"that":[120,171],"pure":[125],"quadratic":[126],"coefficients":[127],"one-fourth":[129],"mixed":[134],"coefficients.":[137],"Tables":[138],"giving":[139],"appropriate":[140],"values":[141],"\u03b1":[143],"have":[144],"been":[145],"constructed":[146],"2":[148],"\u2264":[149,151,155,157],"8.":[152],"5":[154],"8":[158],"involving":[162],"fractional":[163],"factorials":[164],"used.":[166],"It":[167],"shown":[170],"appreciable":[172],"advantage":[173],"gained":[175],"replicating":[177],"rather":[180],"than":[181],"confining":[182],"replication":[183],"center":[186],"only.":[188]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-10-22T09:42:04.148104","created_date":"2016-06-24T00:00:00"}
