{"id":"https://openalex.org/W2972033759","doi":"https://doi.org/10.1016/j.asej.2019.08.002","title":"Multivariable power least squares method: Complementary tool for Response Surface Methodology","display_name":"Multivariable power least squares method: Complementary tool for Response Surface Methodology","publication_year":2019,"publication_date":"2019-09-04","ids":{"openalex":"https://openalex.org/W2972033759","doi":"https://doi.org/10.1016/j.asej.2019.08.002","mag":"2972033759"},"language":"en","primary_location":{"id":"doi:10.1016/j.asej.2019.08.002","doi":"https://doi.org/10.1016/j.asej.2019.08.002","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.asej.2019.08.002","pdf_url":null,"source":{"id":"https://openalex.org/S2764993483","display_name":"Ain Shams Engineering Journal","issn_l":"2090-4479","issn":["2090-4479","2090-4495"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","norway-1","poland-100"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ain Shams Engineering Journal","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1016/j.asej.2019.08.002","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062326591","display_name":"Wah Yen Tey","orcid":"https://orcid.org/0000-0002-1865-9212","observed_orcids":["https://orcid.org/0000-0002-1865-9212"]},"institutions":[{"id":"https://openalex.org/I4576418","display_name":"University of Technology Malaysia","ror":"https://ror.org/026w31v75","country_code":"MY","type":"education","lineage":["https://openalex.org/I4576418"]},{"id":"https://openalex.org/I55285296","display_name":"UCSI University","ror":"https://ror.org/019787q29","country_code":"MY","type":"education","lineage":["https://openalex.org/I55285296"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Wah Yen Tey","raw_affiliation_strings":["Department of Mechanical Engineering, Faculty of Engineering, UCSI University, Kuala Lumpur, Malaysia","Takasago Thermal Engineering i-Kohza, Department of Mechanical Precision Engineering, Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia, Kuala Lumpur, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Faculty of Engineering, UCSI University, Kuala Lumpur, Malaysia","institution_ids":["https://openalex.org/I55285296"]},{"raw_affiliation_string":"Takasago Thermal Engineering i-Kohza, Department of Mechanical Precision Engineering, Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia, Kuala Lumpur, Malaysia","institution_ids":["https://openalex.org/I4576418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059035763","display_name":"Kiat Moon Lee","orcid":"https://orcid.org/0000-0003-1126-9657","observed_orcids":["https://orcid.org/0000-0003-1126-9657"]},"institutions":[{"id":"https://openalex.org/I55285296","display_name":"UCSI University","ror":"https://ror.org/019787q29","country_code":"MY","type":"education","lineage":["https://openalex.org/I55285296"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Kiat Moon Lee","raw_affiliation_strings":["Department of Chemical and Petroleum Engineering, Faculty of Engineering, UCSI University, Kuala Lumpur, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical and Petroleum Engineering, Faculty of Engineering, UCSI University, Kuala Lumpur, Malaysia","institution_ids":["https://openalex.org/I55285296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055978230","display_name":"Yutaka Asako","orcid":"https://orcid.org/0000-0001-6970-7950","observed_orcids":["https://orcid.org/0000-0001-6970-7950"]},"institutions":[{"id":"https://openalex.org/I4576418","display_name":"University of Technology Malaysia","ror":"https://ror.org/026w31v75","country_code":"MY","type":"education","lineage":["https://openalex.org/I4576418"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Yutaka Asako","raw_affiliation_strings":["Takasago Thermal Engineering i-Kohza, Department of Mechanical Precision Engineering, Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia, Kuala Lumpur, Malaysia"],"raw_orcid":"https://orcid.org/0000-0001-6970-7950","affiliations":[{"raw_affiliation_string":"Takasago Thermal Engineering i-Kohza, Department of Mechanical Precision Engineering, Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia, Kuala Lumpur, Malaysia","institution_ids":["https://openalex.org/I4576418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102379914","display_name":"Lit Ken Tan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4576418","display_name":"University of Technology Malaysia","ror":"https://ror.org/026w31v75","country_code":"MY","type":"education","lineage":["https://openalex.org/I4576418"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Lit Ken Tan","raw_affiliation_strings":["Takasago Thermal Engineering i-Kohza, Department of Mechanical Precision Engineering, Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia, Kuala Lumpur, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Takasago Thermal Engineering i-Kohza, Department of Mechanical Precision Engineering, Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia, Kuala Lumpur, Malaysia","institution_ids":["https://openalex.org/I4576418"]}]},{"author_position":"last","author":{"id":null,"display_name":"Norio Arai","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4576418","display_name":"University of Technology Malaysia","ror":"https://ror.org/026w31v75","country_code":"MY","type":"education","lineage":["https://openalex.org/I4576418"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Norio Arai","raw_affiliation_strings":["Takasago Thermal Engineering i-Kohza, Department of Mechanical Precision Engineering, Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia, Kuala Lumpur, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Takasago Thermal Engineering i-Kohza, Department of Mechanical Precision Engineering, Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia, Kuala Lumpur, Malaysia","institution_ids":["https://openalex.org/I4576418"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062326591"],"corresponding_institution_ids":["https://openalex.org/I4576418","https://openalex.org/I55285296"],"apc_list":{"value":650,"currency":"USD","value_usd":650},"apc_paid":{"value":650,"currency":"USD","value_usd":650},"fwci":1.7029,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84704078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"11","issue":"1","first_page":"161","last_page":"169"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9413999915122986,"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":0.9413999915122986,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.02419999986886978,"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"}},{"id":"https://openalex.org/T13141","display_name":"Statistical Methods and Applications","score":0.007600000128149986,"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/response-surface-methodology","display_name":"response surface methodology","score":0.9729999899864197},{"id":"https://openalex.org/keywords/power-function","display_name":"power function","score":0.8240000009536743},{"id":"https://openalex.org/keywords/correlation-between-variables","display_name":"variable correlation","score":0.45100000500679016},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.6800000071525574},{"id":"https://openalex.org/keywords/big-data-analytics","display_name":"big data analytics","score":0.7300000190734863}],"concepts":[{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.8840099573135376},{"id":"https://openalex.org/C150077022","wikidata":"https://www.wikidata.org/wiki/Q3136137","display_name":"Response surface methodology","level":2,"score":0.6205443739891052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5909693837165833},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.476553738117218},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.46575814485549927},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.42497238516807556},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3987521231174469},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39759141206741333},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2349030077457428},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1971789300441742},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.07116606831550598},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.asej.2019.08.002","doi":"https://doi.org/10.1016/j.asej.2019.08.002","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.asej.2019.08.002","pdf_url":null,"source":{"id":"https://openalex.org/S2764993483","display_name":"Ain Shams Engineering Journal","issn_l":"2090-4479","issn":["2090-4479","2090-4495"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","norway-1","poland-100"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ain Shams Engineering Journal","raw_type":"journal-article"},{"id":"pmh:oai:generic.eprints.org:86385","doi":null,"is_oa":false,"landing_page_url":"http://eprints.utm.my/86385/1/YutakaAsako2020_MultivariablePowerLeastSquaresMethod.pdf","pdf_url":"http://eprints.utm.my/86385/1/YutakaAsako2020_MultivariablePowerLeastSquaresMethod.pdf","source":{"id":"https://openalex.org/S4406922759","display_name":"UTM Institutional Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1016/j.asej.2019.08.002","doi":"https://doi.org/10.1016/j.asej.2019.08.002","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.asej.2019.08.002","pdf_url":null,"source":{"id":"https://openalex.org/S2764993483","display_name":"Ain Shams Engineering Journal","issn_l":"2090-4479","issn":["2090-4479","2090-4495"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","norway-1","poland-100"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ain Shams Engineering Journal","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W385143445","https://openalex.org/W962762362","https://openalex.org/W1142697294","https://openalex.org/W1179171804","https://openalex.org/W1518160170","https://openalex.org/W1706356300","https://openalex.org/W1975607977","https://openalex.org/W1981457167","https://openalex.org/W1984738028","https://openalex.org/W1985284033","https://openalex.org/W1988744163","https://openalex.org/W2002282680","https://openalex.org/W2015475217","https://openalex.org/W2029445284","https://openalex.org/W2033509028","https://openalex.org/W2087091755","https://openalex.org/W2107845890","https://openalex.org/W2107967023","https://openalex.org/W2122822577","https://openalex.org/W2142136198","https://openalex.org/W2147016712","https://openalex.org/W2169886917","https://openalex.org/W2199701940","https://openalex.org/W2268960776","https://openalex.org/W2292924061","https://openalex.org/W2341822376","https://openalex.org/W2343978244","https://openalex.org/W2471569727","https://openalex.org/W2481385715","https://openalex.org/W2519196489","https://openalex.org/W2525839382","https://openalex.org/W2531952195","https://openalex.org/W2546836695","https://openalex.org/W2551484657","https://openalex.org/W2555608321","https://openalex.org/W2560382578","https://openalex.org/W2562522515","https://openalex.org/W2568640397","https://openalex.org/W2595439526","https://openalex.org/W2597348797","https://openalex.org/W2605026551","https://openalex.org/W2606352137","https://openalex.org/W2606495170","https://openalex.org/W2611322153","https://openalex.org/W2611738837","https://openalex.org/W2611867789","https://openalex.org/W2621406380","https://openalex.org/W2626033946","https://openalex.org/W2744476735","https://openalex.org/W2755378466","https://openalex.org/W2992573501","https://openalex.org/W3148284042","https://openalex.org/W4244779605"],"related_works":["https://openalex.org/W4224440665","https://openalex.org/W2368769057","https://openalex.org/W2390771000","https://openalex.org/W2096462449","https://openalex.org/W3164611391","https://openalex.org/W4224288656","https://openalex.org/W4317815082","https://openalex.org/W3129207670","https://openalex.org/W4238336292","https://openalex.org/W3116197642"],"abstract_inverted_index":{"In":[0],"Response":[1],"Surface":[2],"Methodology":[3],"(RSM),":[4],"variables":[5,81,106],"are":[6,112],"correlated":[7],"through":[8],"polynomial":[9],"functions":[10,44],"based":[11],"on":[12],"Stone-Weierstrass":[13],"theorem.":[14],"However,":[15],"such":[16],"formulation":[17],"inherits":[18],"four":[19],"weaknesses:":[20],"possible":[21],"misleading":[22],"approximation,":[23],"incapability":[24],"to":[25,34,46,53,58,75,100,114],"accurately":[26],"determine":[27],"the":[28,62,86,102,105,117,121],"ranking":[29],"of":[30,42,64,79,88,104,110],"factors'":[31],"dominance,":[32],"failure":[33],"analyse":[35],"factors":[36],"in":[37,85,134,147],"random":[38],"value":[39],"and":[40,60,98,124,138],"proliferation":[41],"guess":[43],"due":[45],"Pascal":[47],"Triangle.":[48],"Therefore,":[49],"this":[50],"article":[51],"aims":[52],"develop":[54],"an":[55,144],"improvised":[56],"method":[57,129],"rectify":[59],"complement":[61],"weaknesses":[63],"RSM.":[65],"Multivariable":[66],"Power":[67],"Least":[68],"Squares":[69],"Method":[70],"(MPLSM)":[71],"has":[72],"been":[73],"developed":[74],"correlate":[76],"various":[77],"sets":[78],"independent":[80],"with":[82],"dependent":[83],"variable":[84],"form":[87],"power":[89],"functions.":[90],"MPLSM":[91,111,123],"is":[92,130],"built":[93],"upon":[94],"least":[95],"squares":[96],"method,":[97],"able":[99],"approximate":[101],"indices":[103],"easily.":[107],"Two":[108],"variants":[109],"suggested":[113],"further":[115],"ensure":[116],"numerical":[118],"stability":[119],":":[120],"Normalised":[122],"Iterative":[125],"MPLSM.":[126],"The":[127],"proposed":[128],"not":[131],"only":[132],"substantial":[133],"big":[135],"data":[136],"analysis":[137],"multivariable":[139],"problems,":[140],"but":[141],"also":[142],"providing":[143],"alternative":[145],"approach":[146],"engineering":[148],"optimisation.":[149]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2019-09-12T00:00:00"}