{"id":"https://openalex.org/W134835453","doi":"https://doi.org/10.1080/00224065.1998.11979821","title":"The Harmonic Rule for Process Setup Adjustment with Quadratic Loss","display_name":"The Harmonic Rule for Process Setup Adjustment with Quadratic Loss","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W134835453","doi":"https://doi.org/10.1080/00224065.1998.11979821","mag":"134835453"},"language":"en","primary_location":{"id":"doi:10.1080/00224065.1998.11979821","doi":"https://doi.org/10.1080/00224065.1998.11979821","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00224065.1998.11979821","pdf_url":null,"source":{"id":"https://openalex.org/S166831694","display_name":"Journal of Quality Technology","issn_l":"0022-4065","issn":["0022-4065","2575-6230"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","fnege-3","jufo-1","norway-1","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":"Journal of Quality Technology","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/A5079109848","display_name":"Dan Trietsch","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Dan Trietsch","raw_affiliation_strings":["University of Auckland, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079109848"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":0.6464,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.66666667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"30","issue":"1","first_page":"75","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.002099999925121665,"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/T13706","display_name":"Management and Optimization Techniques","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/squared-error-loss","display_name":"squared error loss","score":0.8709999918937683},{"id":"https://openalex.org/keywords/sample-size-optimization","display_name":"sample size optimization","score":0.9660000205039978}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6624747514724731},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6343539953231812},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5910705924034119},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5256379842758179},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.49642664194107056},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48908358812332153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45751944184303284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45237526297569275},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.43730223178863525},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.422384113073349},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.347173273563385},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32540977001190186},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21621382236480713},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12672019004821777},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10949662327766418},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08128622174263},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00224065.1998.11979821","doi":"https://doi.org/10.1080/00224065.1998.11979821","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00224065.1998.11979821","pdf_url":null,"source":{"id":"https://openalex.org/S166831694","display_name":"Journal of Quality Technology","issn_l":"0022-4065","issn":["0022-4065","2575-6230"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","fnege-3","jufo-1","norway-1","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":"Journal of Quality Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W24265012","https://openalex.org/W580915168","https://openalex.org/W1976474629","https://openalex.org/W2021301777","https://openalex.org/W2091311817","https://openalex.org/W2164377579","https://openalex.org/W2993740710"],"related_works":["https://openalex.org/W3208081556","https://openalex.org/W4247282239","https://openalex.org/W1994317809","https://openalex.org/W40122205","https://openalex.org/W2083220447","https://openalex.org/W311987242","https://openalex.org/W2171575034","https://openalex.org/W2021301777","https://openalex.org/W2035444038","https://openalex.org/W2086514580"],"abstract_inverted_index":{"We":[0,42,55],"consider":[1],"a":[2,21,44,83],"classic":[3],"adjustment":[4,17],"method,":[5],"introduced":[6],"by":[7],"Frank":[8],"Grubbs,":[9],"to":[10,59,85,98],"which":[11],"we":[12,65],"refer":[13],"as":[14],"the":[15,29,32,40,61,68,89,102],"harmonic":[16,69],"rule.":[18],"Grubbs":[19],"gave":[20],"constructive":[22],"proof":[23],"of":[24,39],"continuous":[25],"optimality,":[26],"that":[27,47,67,80],"is":[28,71,82,92],"rule":[30,70],"minimizes":[31],"expected":[33],"quadratic":[34],"loss":[35],"(EQL)":[36],"every":[37],"step":[38],"way.":[41],"introduce":[43],"generalized":[45],"procedure":[46],"allows":[48],"skipping":[49,105],"some":[50],"adjustments":[51,75,95,107],"without":[52],"losing":[53],"information.":[54],"also":[56],"show":[57,66],"how":[58],"optimize":[60],"sample":[62,90],"size.":[63],"Finally,":[64],"especially":[72],"advantageous":[73],"when":[74,88],"can":[76],"be":[77],"biased,":[78],"but":[79],"there":[81],"limit":[84],"its":[86],"usefulness":[87],"size":[91],"large":[93],"and":[94],"are":[96],"subject":[97],"random":[99],"error.":[100],"In":[101],"latter":[103],"case,":[104],"small":[106],"becomes":[108],"particularly":[109],"attractive.":[110]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2016-06-24T00:00:00"}