{"id":"https://openalex.org/W2301534016","doi":null,"title":"Mathematical reflection approach to instrumental variable estimation method for simple regression model","display_name":"Mathematical reflection approach to instrumental variable estimation method for simple regression model","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2301534016","mag":"2301534016"},"language":"en","primary_location":{"id":"pmh:oai:eprints.usq.edu.au:28442","doi":null,"is_oa":true,"landing_page_url":"http://eprints.usq.edu.au/28442/1/Saqr_Khan_PJS_v32n1_AV.pdf","pdf_url":"http://eprints.usq.edu.au/28442/1/Saqr_Khan_PJS_v32n1_AV.pdf","source":{"id":"https://openalex.org/S4306400692","display_name":"University of Southern Queensland ePrints (University of Southern Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I185523456","host_organization_name":"University of Southern Queensland","host_organization_lineage":["https://openalex.org/I185523456"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article (Commonwealth Reporting Category C)"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://eprints.usq.edu.au/28442/1/Saqr_Khan_PJS_v32n1_AV.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078437955","display_name":"Anwar Saqr","orcid":"https://orcid.org/0000-0002-4965-3841","observed_orcids":["https://orcid.org/0000-0002-4965-3841"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anwar Saqr","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4965-3841","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5078659661","display_name":"Shahjahan Khan","orcid":"https://orcid.org/0000-0002-0446-086X","observed_orcids":["https://orcid.org/0000-0002-0446-086X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shahjahan Khan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.36010000109672546,"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":0.36010000109672546,"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":0.34769999980926514,"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/T10845","display_name":"Advanced Causal Inference Techniques","score":0.11599999666213989,"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/instrumental-variables-estimation","display_name":"instrumental variable estimation","score":0.8949999809265137},{"id":"https://openalex.org/keywords/measurement-error","display_name":"measurement error","score":0.9359999895095825},{"id":"https://openalex.org/keywords/simple-linear-regression","display_name":"simple linear regression","score":0.7310000061988831},{"id":"https://openalex.org/keywords/estimator-efficiency","display_name":"estimator efficiency","score":0.5189999938011169}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.8409320116043091},{"id":"https://openalex.org/C162144332","wikidata":"https://www.wikidata.org/wiki/Q1665305","display_name":"Instrumental variable","level":2,"score":0.8104903697967529},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6609624624252319},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6388953328132629},{"id":"https://openalex.org/C179024874","wikidata":"https://www.wikidata.org/wiki/Q5395728","display_name":"Errors-in-variables models","level":2,"score":0.5572994947433472},{"id":"https://openalex.org/C27574286","wikidata":"https://www.wikidata.org/wiki/Q320723","display_name":"Variables","level":2,"score":0.5470361709594727},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5274078249931335},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.5159595608711243},{"id":"https://openalex.org/C19619285","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Observational error","level":2,"score":0.4893600344657898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.470714271068573},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4664461314678192},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.45590656995773315},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.37483203411102295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3448197543621063},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:eprints.usq.edu.au:28442","doi":null,"is_oa":true,"landing_page_url":"http://eprints.usq.edu.au/28442/1/Saqr_Khan_PJS_v32n1_AV.pdf","pdf_url":"http://eprints.usq.edu.au/28442/1/Saqr_Khan_PJS_v32n1_AV.pdf","source":{"id":"https://openalex.org/S4306400692","display_name":"University of Southern Queensland ePrints (University of Southern Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I185523456","host_organization_name":"University of Southern Queensland","host_organization_lineage":["https://openalex.org/I185523456"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article (Commonwealth Reporting Category C)"},{"id":"mag:2301534016","doi":null,"is_oa":false,"landing_page_url":"http://eprints.usq.edu.au/28442/","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:eprints.usq.edu.au:28442","doi":null,"is_oa":true,"landing_page_url":"http://eprints.usq.edu.au/28442/1/Saqr_Khan_PJS_v32n1_AV.pdf","pdf_url":"http://eprints.usq.edu.au/28442/1/Saqr_Khan_PJS_v32n1_AV.pdf","source":{"id":"https://openalex.org/S4306400692","display_name":"University of Southern Queensland ePrints (University of Southern Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I185523456","host_organization_name":"University of Southern Queensland","host_organization_lineage":["https://openalex.org/I185523456"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article (Commonwealth Reporting Category C)"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2301534016.pdf","grobid_xml":"https://content.openalex.org/works/W2301534016.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1532665441","https://openalex.org/W1964567371","https://openalex.org/W1979830180","https://openalex.org/W2018074858","https://openalex.org/W2042754429","https://openalex.org/W2045357062","https://openalex.org/W2080040321","https://openalex.org/W2087964979","https://openalex.org/W2124758339","https://openalex.org/W2126963755","https://openalex.org/W2127065386","https://openalex.org/W2147039585","https://openalex.org/W2159261718","https://openalex.org/W2164406114","https://openalex.org/W2321428642","https://openalex.org/W2611591252","https://openalex.org/W2895270050","https://openalex.org/W2955788202","https://openalex.org/W3042168128","https://openalex.org/W3125570299","https://openalex.org/W3141341243"],"related_works":["https://openalex.org/W1575927313","https://openalex.org/W2006204042","https://openalex.org/W277479243","https://openalex.org/W3202431787","https://openalex.org/W1981204440","https://openalex.org/W1984640257","https://openalex.org/W2948051546","https://openalex.org/W3121508783","https://openalex.org/W4253016758","https://openalex.org/W1557646986"],"abstract_inverted_index":{"The":[0,63,79,88],"measurement":[1,61],"errors":[2],"problem":[3],"is":[4,22,66,82,110],"endemic":[5],"in":[6,35],"many":[7],"econometric":[8,38],"studies,":[9],"and":[10,37,84,107,115],"one":[11,23],"of":[12,24,50,72,91,122],"the":[13,25,32,48,51,73,92,96,123],"oldest":[14],"known":[15],"statistical":[16,36],"problems.":[17],"Instrumental":[18],"variable":[19,76],"(IV)":[20],"method":[21,81],"popular":[26],"solutions":[27],"adopted":[28],"to":[29,47,60,86,102],"deal":[30],"with":[31,126],"mismeasured":[33],"variables":[34,57],"analyses.":[39],"This":[40],"paper":[41],"proposes":[42],"an":[43],"efficient":[44],"IV":[45,65,98],"estimator":[46,94,125],"parameters":[49],"simple":[52,69],"regression":[53],"model":[54],"where":[55],"both":[56],"are":[58,131],"subject":[59],"errors.":[62],"proposed":[64,80,93,124],"defined":[67],"using":[68],"mathematical":[70],"transformation":[71],"manifest":[74],"independent":[75],"(mismeasured":[77],"variable).":[78],"straightforward,":[83],"easy":[85],"implement.":[87],"theoretical":[89],"superiority":[90],"over":[95],"existing":[97,129],"based":[99,119],"estimators":[100,130],"due":[101],"Wald":[103],"(1940),":[104],"Bartlett":[105],"(1949),":[106],"Durbin":[108],"(1954)":[109],"established":[111],"by":[112],"analytical":[113],"comparison":[114],"geometric":[116],"expositions.":[117],"Simulation":[118],"numerical":[120],"comparisons":[121],"four":[127],"different":[128],"also":[132],"included.":[133]},"counts_by_year":[],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2016-06-24T00:00:00"}