{"id":"https://openalex.org/W2955366155","doi":"https://doi.org/10.1088/1757-899x/546/5/052024","title":"Comparison of Curve Estimation of the Smoothing Spline Nonparametric Function Path Based on PLS and PWLS In Various Levels of Heteroscedasticity","display_name":"Comparison of Curve Estimation of the Smoothing Spline Nonparametric Function Path Based on PLS and PWLS In Various Levels of Heteroscedasticity","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2955366155","doi":"https://doi.org/10.1088/1757-899x/546/5/052024","mag":"2955366155"},"language":"en","primary_location":{"id":"doi:10.1088/1757-899x/546/5/052024","doi":"https://doi.org/10.1088/1757-899x/546/5/052024","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1757-899x/546/5/052024","pdf_url":"https://iopscience.iop.org/article/10.1088/1757-899X/546/5/052024/pdf","source":{"id":"https://openalex.org/S4210189194","display_name":"IOP Conference Series Materials Science and Engineering","issn_l":"1757-8981","issn":["1757-8981","1757-899X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IOP Conference Series: Materials Science and Engineering","raw_type":"journal-article"},"volume":null,"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://iopscience.iop.org/article/10.1088/1757-899X/546/5/052024/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058566646","display_name":"Adji Achmad Rinaldo Fernandes","orcid":"https://orcid.org/0000-0003-4961-2641","observed_orcids":["https://orcid.org/0000-0003-4961-2641","https://orcid.org/0000-0002-5957-6528"]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":true,"raw_author_name":"Adji Achmad Rinaldo Fernandes","raw_affiliation_strings":["Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]},{"raw_affiliation_string":"Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031662562","display_name":"Benny Hutahayan","orcid":"https://orcid.org/0000-0001-6904-7817","observed_orcids":["https://orcid.org/0000-0001-6904-7817","https://orcid.org/0000-0003-1162-4428","https://orcid.org/0000-0001-9608-9721"]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Benny Hutahayan","raw_affiliation_strings":["Department of Bussiness Administrative, Faculty of Administrative Sciences, University of Brawijaya, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Bussiness Administrative, Faculty of Administrative Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068559381","display_name":"Solimun Solimun","orcid":"https://orcid.org/0000-0003-4510-1932","observed_orcids":["https://orcid.org/0000-0003-4510-1932","https://orcid.org/0000-0003-3326-5315"]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Solimun","raw_affiliation_strings":["Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]},{"raw_affiliation_string":"Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031181402","display_name":"Endang Arisoesilaningsih","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Endang Arisoesilaningsih","raw_affiliation_strings":["Department of Biology, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biology, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070284607","display_name":"Indah Yanti","orcid":"https://orcid.org/0000-0001-9384-2749","observed_orcids":["https://orcid.org/0000-0001-9384-2749"]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Indah Yanti","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]},{"raw_affiliation_string":"Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031715634","display_name":"Ani Budi Astuti","orcid":"https://orcid.org/0000-0003-4326-6901","observed_orcids":["https://orcid.org/0000-0003-4326-6901","https://orcid.org/0000-0002-4476-1202"]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Ani Budi Astuti","raw_affiliation_strings":["Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]},{"raw_affiliation_string":"Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017113390","display_name":"Nurjannah Nurjannah","orcid":"https://orcid.org/0000-0001-5615-017X","observed_orcids":["https://orcid.org/0000-0001-5615-017X"]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Nurjannah","raw_affiliation_strings":["Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]},{"raw_affiliation_string":"Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090461932","display_name":"Luthfatul Amaliana","orcid":"https://orcid.org/0000-0002-6624-891X","observed_orcids":["https://orcid.org/0000-0002-6624-891X"]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Luthfatul Amaliana","raw_affiliation_strings":["Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]},{"raw_affiliation_string":"Kelompok Kajian Unggulan Pemodelan Statistika di Bidang Manajemen, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058566646"],"corresponding_institution_ids":["https://openalex.org/I177055848"],"apc_list":null,"apc_paid":null,"fwci":9.9395,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.98501873,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"546","issue":"5","first_page":"052024","last_page":"052024"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9429000020027161,"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"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9429000020027161,"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":0.03620000183582306,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.008299999870359898,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/smoothing-splines","display_name":"smoothing splines","score":0.6159999966621399},{"id":"https://openalex.org/keywords/heteroscedasticity","display_name":"heteroscedasticity","score":0.8420000076293945},{"id":"https://openalex.org/keywords/partial-least-squares","display_name":"partial least squares","score":0.6830000281333923},{"id":"https://openalex.org/keywords/curve-estimation","display_name":"curve estimation","score":0.8970000147819519},{"id":"https://openalex.org/keywords/relative-efficiency","display_name":"relative efficiency","score":0.703000009059906},{"id":"https://openalex.org/keywords/nonparametric-regression","display_name":"nonparametric regression","score":0.4429999887943268}],"concepts":[{"id":"https://openalex.org/C101104100","wikidata":"https://www.wikidata.org/wiki/Q1063540","display_name":"Heteroscedasticity","level":2,"score":0.9416310787200928},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.8030848503112793},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.7120007276535034},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6993464231491089},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6197994351387024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6192851066589355},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5876556634902954},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5579713582992554},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5066081285476685},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09746256470680237},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.07935157418251038},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/1757-899x/546/5/052024","doi":"https://doi.org/10.1088/1757-899x/546/5/052024","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1757-899x/546/5/052024","pdf_url":"https://iopscience.iop.org/article/10.1088/1757-899X/546/5/052024/pdf","source":{"id":"https://openalex.org/S4210189194","display_name":"IOP Conference Series Materials Science and Engineering","issn_l":"1757-8981","issn":["1757-8981","1757-899X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IOP Conference Series: Materials Science and Engineering","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/1757-899x/546/5/052024","doi":"https://doi.org/10.1088/1757-899x/546/5/052024","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1757-899x/546/5/052024","pdf_url":"https://iopscience.iop.org/article/10.1088/1757-899X/546/5/052024/pdf","source":{"id":"https://openalex.org/S4210189194","display_name":"IOP Conference Series Materials Science and Engineering","issn_l":"1757-8981","issn":["1757-8981","1757-899X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IOP Conference Series: Materials Science and Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2955366155.pdf","grobid_xml":"https://content.openalex.org/works/W2955366155.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W90674409","https://openalex.org/W612158250","https://openalex.org/W1947555724","https://openalex.org/W1999486090","https://openalex.org/W2029520384","https://openalex.org/W2030351330","https://openalex.org/W2034562813","https://openalex.org/W2104455572","https://openalex.org/W2510088525","https://openalex.org/W2517944104","https://openalex.org/W2761955128","https://openalex.org/W2954529863"],"related_works":["https://openalex.org/W2772537434","https://openalex.org/W4315874288","https://openalex.org/W2954100629","https://openalex.org/W7099055366","https://openalex.org/W3123978576","https://openalex.org/W2114412497","https://openalex.org/W183621956","https://openalex.org/W4406879795","https://openalex.org/W4408707361","https://openalex.org/W7081993972"],"abstract_inverted_index":{"Abstract":[0],"Linearity":[1],"assumption":[2],"that":[3,99,110],"has":[4],"not":[5],"been":[6],"fulfilled":[7],"in":[8],"the":[9,28,41,71,92],"path":[10,22,80],"analysis":[11,23],"should":[12],"use":[13],"nonparametric":[14,21,79],"approach.":[15],"This":[16],"research":[17,67,96],"uses":[18],"smoothing":[19,78],"spline":[20,77],"with":[24,107],"generated":[25],"data":[26],"where":[27],"condition":[29],"of":[30,65,73,76,85,103],"heteroscedasticity":[31,86,93,118],"level":[32,84,119],"measured":[33],"through":[34],"MAPD":[35,46],"statistic":[36],"will":[37],"be":[38],"applied":[39],"to":[40,69,134],"data.":[42],"The":[43,63,95],"conditions":[44],"are":[45],"0.01":[47],"\u2013":[48,51,54,57,61],"0.20;":[49],"0.21":[50],"0.40;":[52],"0.41":[53],"0.60;":[55],"0.61":[56],"0.80;":[58],"and":[59,89,120],"0.81":[60],"1.00.":[62],"purpose":[64],"this":[66],"is":[68,111],"determine":[70],"comparison":[72],"curve":[74],"estimation":[75],"function":[81],"on":[82],"every":[83,117,121],"category":[87],"(DM)":[88],"without":[90],"considering":[91],"(TM).":[94],"results":[97],"found":[98],"relative":[100],"efficiency":[101],"value":[102],"DM":[104,129],"(PWLS)":[105],"estimator":[106,130],"TM":[108,135],"(PLS)":[109],"always":[112],"more":[113],"than":[114],"1":[115],"for":[116],"observation":[122],"size.":[123],"Thus,":[124],"it":[125],"was":[126],"obtained":[127],"better":[128],"(PWLS":[131],"approach)":[132],"comparing":[133],"(PLS).":[136]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":11},{"year":2020,"cited_by_count":5}],"updated_date":"2026-10-22T09:42:04.148104","created_date":"2019-07-12T00:00:00"}