{"id":"https://openalex.org/W2577660449","doi":"https://doi.org/10.1080/00207543.2017.1282644","title":"A novel approach to deriving the lower confidence limit of indices <i>C</i> <sub> <i>pu</i> </sub> , <i>C</i> <sub> <i>pl</i> </sub> , and <i>C</i> <sub> <i>pk</i> </sub> in assessing process capability","display_name":"A novel approach to deriving the lower confidence limit of indices <i>C</i> <sub> <i>pu</i> </sub> , <i>C</i> <sub> <i>pl</i> </sub> , and <i>C</i> <sub> <i>pk</i> </sub> in assessing process capability","publication_year":2017,"publication_date":"2017-01-20","ids":{"openalex":"https://openalex.org/W2577660449","doi":"https://doi.org/10.1080/00207543.2017.1282644","mag":"2577660449"},"language":"en","primary_location":{"id":"doi:10.1080/00207543.2017.1282644","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2017.1282644","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Production Research","raw_type":"journal-article"},"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/A5082024932","display_name":"Kuen\u2010Suan Chen","orcid":"https://orcid.org/0000-0002-1091-6392"},"institutions":[{"id":"https://openalex.org/I65446980","display_name":"National Chin-Yi University of Technology","ror":"https://ror.org/040bs6h16","country_code":"TW","type":"education","lineage":["https://openalex.org/I65446980"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Kuen-Suan Chen","raw_affiliation_strings":[",","Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung, Taiwan, ROC"],"affiliations":[{"raw_affiliation_string":",","institution_ids":[]},{"raw_affiliation_string":"Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung, Taiwan, ROC","institution_ids":["https://openalex.org/I65446980"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044906607","display_name":"Kung\u2010Jeng Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I154864474","display_name":"National Taiwan University of Science and Technology","ror":"https://ror.org/00q09pe49","country_code":"TW","type":"education","lineage":["https://openalex.org/I154864474"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Kung-Jeng Wang","raw_affiliation_strings":[",","Department of Industrial Management, National Taiwan University of Science and Technology, Taipei, Taiwan, ROC"],"affiliations":[{"raw_affiliation_string":",","institution_ids":[]},{"raw_affiliation_string":"Department of Industrial Management, National Taiwan University of Science and Technology, Taipei, Taiwan, ROC","institution_ids":["https://openalex.org/I154864474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026327115","display_name":"Tsang-Chuan Chang","orcid":"https://orcid.org/0000-0001-8159-3538"},"institutions":[{"id":"https://openalex.org/I65446980","display_name":"National Chin-Yi University of Technology","ror":"https://ror.org/040bs6h16","country_code":"TW","type":"education","lineage":["https://openalex.org/I65446980"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Tsang-Chuan Chang","raw_affiliation_strings":[",","Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung, Taiwan, ROC"],"affiliations":[{"raw_affiliation_string":",","institution_ids":[]},{"raw_affiliation_string":"Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung, Taiwan, ROC","institution_ids":["https://openalex.org/I65446980"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026327115"],"corresponding_institution_ids":["https://openalex.org/I65446980"],"apc_list":null,"apc_paid":null,"fwci":6.0898,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.96968788,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"55","issue":"17","first_page":"4963","last_page":"4981"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9998000264167786,"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":0.9998000264167786,"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/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.9897000193595886,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5817767381668091},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.43512430787086487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42710080742836},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.37747591733932495},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35067588090896606},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3060733675956726},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19704174995422363}],"concepts":[{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5817767381668091},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.43512430787086487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42710080742836},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37747591733932495},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35067588090896606},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3060733675956726},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19704174995422363}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207543.2017.1282644","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2017.1282644","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Production Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tprsxx:v:55:y:2017:i:17:p:4963-4981","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207543.2017.1282644","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.41999998688697815}],"awards":[{"id":"https://openalex.org/G751697745","display_name":null,"funder_award_id":"MOST 103-2221-E-167-029","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G898891788","display_name":null,"funder_award_id":"Grant No. MOST 103-2221-E-167-029","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W21580928","https://openalex.org/W26215208","https://openalex.org/W85556546","https://openalex.org/W123448071","https://openalex.org/W152569421","https://openalex.org/W1488261855","https://openalex.org/W1567132479","https://openalex.org/W1596067371","https://openalex.org/W1857318115","https://openalex.org/W1967553135","https://openalex.org/W1969923126","https://openalex.org/W1973181121","https://openalex.org/W1982740929","https://openalex.org/W1987583939","https://openalex.org/W1988343386","https://openalex.org/W1998852501","https://openalex.org/W2002134349","https://openalex.org/W2007636595","https://openalex.org/W2015320669","https://openalex.org/W2019776800","https://openalex.org/W2020669017","https://openalex.org/W2031255662","https://openalex.org/W2033742075","https://openalex.org/W2037606315","https://openalex.org/W2058647379","https://openalex.org/W2059754095","https://openalex.org/W2060900651","https://openalex.org/W2062123845","https://openalex.org/W2062562676","https://openalex.org/W2078343942","https://openalex.org/W2084443752","https://openalex.org/W2086287851","https://openalex.org/W2092433731","https://openalex.org/W2120505141","https://openalex.org/W2128701490","https://openalex.org/W2155701011","https://openalex.org/W2157202423","https://openalex.org/W2280687644","https://openalex.org/W2319624198","https://openalex.org/W2342186346","https://openalex.org/W2346381118","https://openalex.org/W2463848819","https://openalex.org/W3149026993","https://openalex.org/W4230917442","https://openalex.org/W4235581671","https://openalex.org/W4243078471","https://openalex.org/W4245521939","https://openalex.org/W4247766988","https://openalex.org/W4249009120","https://openalex.org/W4254095651","https://openalex.org/W4254810052"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2995364151","https://openalex.org/W797163146","https://openalex.org/W2068023914","https://openalex.org/W1899429405","https://openalex.org/W2401903608","https://openalex.org/W4221078923","https://openalex.org/W2066458123","https://openalex.org/W3005777437","https://openalex.org/W1578234703"],"abstract_inverted_index":{"Process":[0],"capability":[1,148],"indices":[2,94],"(PCIs)":[3],"are":[4],"widely":[5],"used":[6,121],"as":[7],"a":[8,86,114],"measure":[9],"of":[10,19,39,46,55,62,65,93,129,134,141,157,164],"process":[11,14,40,57,126],"potential":[12],"and":[13,97,102,150],"performance.":[15],"Unfortunately,":[16],"the":[17,30,37,44,47,53,60,66,91,125,131,138,142,162,165],"use":[18,45],"sample":[20,151],"data":[21,111],"to":[22,89,122,160],"estimate":[23],"PCIs":[24,67,143],"means":[25],"that":[26,73],"any":[27],"error":[28],"in":[29,52],"sampling":[31,63],"can":[32,80],"introduce":[33],"considerable":[34],"uncertainty":[35],"into":[36],"assessment":[38],"capability.":[41,58],"This":[42,83,105],"necessitates":[43],"lower":[48],"confidence":[49],"limit":[50],"(LCL)":[51],"estimation":[54],"minimum":[56],"Furthermore,":[59],"complexity":[61],"distributions":[64],"greatly":[68],"hinders":[69],"interval":[70],"estimation,":[71],"such":[72],"only":[74],"an":[75],"approximate":[76],"or":[77],"asymptotic":[78],"LCL":[79,92],"be":[81],"achieved.":[82],"paper":[84],"proposes":[85],"novel":[87],"approach":[88,106],"deriving":[90],"Cpu,":[95],"Cpl":[96],"Cpk":[98],"using":[99],"Boole\u2019s":[100],"inequality":[101],"DeMorgan\u2019s":[103],"theorem.":[104],"is":[107,119,127],"based":[108],"on":[109],"subsample":[110],"collected":[112],"from":[113],"stable":[115],"process.":[116],"Hypothesis":[117],"testing":[118],"also":[120],"determine":[123],"whether":[124],"capable":[128],"satisfying":[130],"quality":[132],"requirements":[133,149],"customers.":[135],"We":[136],"calculated":[137],"critical":[139],"values":[140],"for":[144],"various":[145],"significance":[146],"levels,":[147],"sizes.":[152],"Finally,":[153],"we":[154],"present":[155],"analysis":[156],"two":[158],"cases":[159],"demonstrate":[161],"applicability":[163],"proposed":[166],"approach.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":3}],"updated_date":"2026-02-08T09:19:03.324500","created_date":"2017-01-26T00:00:00"}