{"id":"https://openalex.org/W2088864649","doi":"https://doi.org/10.1198/00401700152672519","title":"A Profile-Based Approach to Parametric Sensitivity Analysis of Nonlinear Regression Models","display_name":"A Profile-Based Approach to Parametric Sensitivity Analysis of Nonlinear Regression Models","publication_year":2001,"publication_date":"2001-11-01","ids":{"openalex":"https://openalex.org/W2088864649","doi":"https://doi.org/10.1198/00401700152672519","mag":"2088864649"},"language":"en","primary_location":{"id":"doi:10.1198/00401700152672519","is_oa":false,"landing_page_url":"https://doi.org/10.1198/00401700152672519","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,"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":"Technometrics","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/A5066909407","display_name":"Hana Sulieman","orcid":"https://orcid.org/0000-0003-4952-8298"},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"H Sulieman","raw_affiliation_strings":["Department of Chemical Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada","Department of Chemical Engineering, Queen's University, Kingston, Ontario, K7L 3N6, Canada,"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada","institution_ids":["https://openalex.org/I204722609"]},{"raw_affiliation_string":"Department of Chemical Engineering, Queen's University, Kingston, Ontario, K7L 3N6, Canada,","institution_ids":["https://openalex.org/I204722609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009335177","display_name":"P. James McLellan","orcid":"https://orcid.org/0000-0003-0794-4322"},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"P. J McLellan","raw_affiliation_strings":["Department of Chemical Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada","Department of Chemical Engineering, Queen's University, Kingston, Ontario, K7L 3N6, Canada,"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada","institution_ids":["https://openalex.org/I204722609"]},{"raw_affiliation_string":"Department of Chemical Engineering, Queen's University, Kingston, Ontario, K7L 3N6, Canada,","institution_ids":["https://openalex.org/I204722609"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065337563","display_name":"D. W. Bacon","orcid":null},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"D. W Bacon","raw_affiliation_strings":["Department of Chemical Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada","Department of Chemical Engineering, Queen's University, Kingston, Ontario, K7L 3N6, Canada,"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada","institution_ids":["https://openalex.org/I204722609"]},{"raw_affiliation_string":"Department of Chemical Engineering, Queen's University, Kingston, Ontario, K7L 3N6, Canada,","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066909407"],"corresponding_institution_ids":["https://openalex.org/I204722609"],"apc_list":null,"apc_paid":null,"fwci":0.8805,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.80734351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"43","issue":"4","first_page":"425","last_page":"433"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994999766349792,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994999766349792,"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":0.991100013256073,"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":0.9904000163078308,"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/sensitivity","display_name":"Sensitivity (control systems)","score":0.7451339960098267},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6669729351997375},{"id":"https://openalex.org/keywords/nonlinear-regression","display_name":"Nonlinear regression","score":0.5717208385467529},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5655527710914612},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.558966338634491},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.5410003662109375},{"id":"https://openalex.org/keywords/parametric-model","display_name":"Parametric model","score":0.534567654132843},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5136110782623291},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.46639248728752136},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.4469802975654602},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36564648151397705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2810715436935425},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.19244727492332458},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10802158713340759}],"concepts":[{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.7451339960098267},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6669729351997375},{"id":"https://openalex.org/C46889948","wikidata":"https://www.wikidata.org/wiki/Q2755024","display_name":"Nonlinear regression","level":3,"score":0.5717208385467529},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5655527710914612},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.558966338634491},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.5410003662109375},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.534567654132843},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5136110782623291},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.46639248728752136},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.4469802975654602},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36564648151397705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2810715436935425},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.19244727492332458},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10802158713340759},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1198/00401700152672519","is_oa":false,"landing_page_url":"https://doi.org/10.1198/00401700152672519","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,"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":"Technometrics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W19125392","https://openalex.org/W155102939","https://openalex.org/W193425649","https://openalex.org/W199310666","https://openalex.org/W1967049326","https://openalex.org/W1990194476","https://openalex.org/W1994249905","https://openalex.org/W1997082714","https://openalex.org/W2011390945","https://openalex.org/W2021079236","https://openalex.org/W2026585487","https://openalex.org/W2028319144","https://openalex.org/W2038773109","https://openalex.org/W2055591121","https://openalex.org/W2061597384","https://openalex.org/W2070779353","https://openalex.org/W2089520569","https://openalex.org/W2114058028","https://openalex.org/W2145147745","https://openalex.org/W2151868609","https://openalex.org/W2161470484","https://openalex.org/W2168885266","https://openalex.org/W2319885746","https://openalex.org/W2550889550","https://openalex.org/W2903911663","https://openalex.org/W2909178845","https://openalex.org/W4231460846","https://openalex.org/W4238445498","https://openalex.org/W4247811359"],"related_works":["https://openalex.org/W2289718384","https://openalex.org/W1995675544","https://openalex.org/W2509524819","https://openalex.org/W3127866798","https://openalex.org/W2068427817","https://openalex.org/W4294845631","https://openalex.org/W2952090425","https://openalex.org/W2012121796","https://openalex.org/W2538333368","https://openalex.org/W2043546065"],"abstract_inverted_index":{"AbstractPredictions":[0],"from":[1,11],"a":[2,30,36],"nonlinear":[3,62],"regression":[4,63],"model":[5,24,84],"are":[6],"subject":[7],"to":[8],"uncertainties":[9],"propagated":[10],"the":[12,16,20,45,58,81,99],"estimated":[13],"parameters":[14,60,82],"in":[15,61],"model.":[17],"Parameters":[18],"exerting":[19],"strongest":[21],"influence":[22],"on":[23,44],"predictions":[25],"can":[26],"be":[27],"identified":[28],"by":[29,49],"sensitivity":[31,39,69,73,89],"analysis.":[32],"In":[33,65],"this":[34,71],"article,":[35],"new":[37],"parametric":[38],"measure":[40,74],"is":[41,102],"introduced,":[42],"based":[43],"profiling":[46],"algorithm":[47],"developed":[48],"Bates":[50],"and":[51,83],"Watts":[52],"for":[53,57,76],"constructing":[54],"likelihood":[55],"intervals":[56],"individual":[59],"models.":[64],"contrast":[66],"with":[67,104],"traditional":[68],"coefficients,":[70],"profile-based":[72],"accounts":[75],"both":[77],"correlation":[78],"structure":[79],"among":[80],"nonlinearity.":[85],"It":[86],"also":[87],"provides":[88],"information":[90],"over":[91],"wide":[92],"ranges":[93],"of":[94,98],"parameter":[95],"uncertainties.":[96],"Application":[97],"proposed":[100],"approach":[101],"illustrated":[103],"three":[105],"examples.KEY":[106],"WORDS":[107],":":[108],"Marginal":[109],"sensitivityModel":[110],"nonlinearityParameter":[111],"uncertaintiesProfile":[112],"t":[113],"plotsSensitivity":[114],"coefficient":[115]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
