{"id":"https://openalex.org/W2767953584","doi":"https://doi.org/10.1093/jigpal/jzx024","title":"Logically-consistent hypothesis testing and the hexagon of oppositions","display_name":"Logically-consistent hypothesis testing and the hexagon of oppositions","publication_year":2017,"publication_date":"2017-06-15","ids":{"openalex":"https://openalex.org/W2767953584","doi":"https://doi.org/10.1093/jigpal/jzx024","mag":"2767953584"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzx024","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzx024","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1905.07662","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016387967","display_name":"Julio Michael Stern","orcid":"https://orcid.org/0000-0003-2720-3871"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Julio Michael Stern","raw_affiliation_strings":["University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, USP, S\u00e3o Paulo, SP, BR, 05508-090"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, USP, S\u00e3o Paulo, SP, BR, 05508-090","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041145702","display_name":"Rafael Izbicki","orcid":"https://orcid.org/0000-0003-0379-9690"},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Rafael Izbicki","raw_affiliation_strings":["Departamento de Estat\u00edstica, Federal University of S\u00e3o Carlos, UFSCar, Rodovia Washington Luis, km 235, S\u00e3o Carlos, SP, BR, 13565-905"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estat\u00edstica, Federal University of S\u00e3o Carlos, UFSCar, Rodovia Washington Luis, km 235, S\u00e3o Carlos, SP, BR, 13565-905","institution_ids":["https://openalex.org/I177909021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080001315","display_name":"Lu\u00eds Gustavo Esteves","orcid":null},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Luis Gustavo Esteves","raw_affiliation_strings":["University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, USP, S\u00e3o Paulo, SP, BR, 05508-090"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, USP, S\u00e3o Paulo, SP, BR, 05508-090","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103282886","display_name":"Rafael B. Stern","orcid":"https://orcid.org/0000-0002-4323-4515"},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Rafael Bassi Stern","raw_affiliation_strings":["Departamento de Estat\u00edstica, Federal University of S\u00e3o Carlos, UFSCar, Rodovia Washington Luis, km 235, S\u00e3o Carlos, SP, BR, 13565-905"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estat\u00edstica, Federal University of S\u00e3o Carlos, UFSCar, Rodovia Washington Luis, km 235, S\u00e3o Carlos, SP, BR, 13565-905","institution_ids":["https://openalex.org/I177909021"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5016387967","https://openalex.org/A5041145702","https://openalex.org/A5080001315","https://openalex.org/A5103282886"],"corresponding_institution_ids":["https://openalex.org/I177909021","https://openalex.org/I17974374"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":1.8727,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.8953293,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"25","issue":"5","first_page":"741","last_page":"757"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10211","display_name":"Computational Drug Discovery Methods","score":0.9835000038146973,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9775000214576721,"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/modalities","display_name":"Modalities","score":0.8545533418655396},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6777567267417908},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.6206009387969971},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5149939656257629},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.4280599355697632},{"id":"https://openalex.org/keywords/logical-conjunction","display_name":"Logical conjunction","score":0.4273003339767456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36695146560668945},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24086979031562805},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1533677577972412},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.11608892679214478},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.0832696259021759},{"id":"https://openalex.org/keywords/social-science","display_name":"Social science","score":0.06355732679367065}],"concepts":[{"id":"https://openalex.org/C2779903281","wikidata":"https://www.wikidata.org/wiki/Q6888026","display_name":"Modalities","level":2,"score":0.8545533418655396},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6777567267417908},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.6206009387969971},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5149939656257629},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.4280599355697632},{"id":"https://openalex.org/C21847791","wikidata":"https://www.wikidata.org/wiki/Q191081","display_name":"Logical conjunction","level":2,"score":0.4273003339767456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36695146560668945},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24086979031562805},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1533677577972412},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.11608892679214478},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0832696259021759},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.06355732679367065},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1093/jigpal/jzx024","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzx024","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},{"id":"pmh:oai:philsci-archive.pitt.edu:21929","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401282","display_name":"PhilSci-Archive (University of Pittsburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I170201317","host_organization_name":"University of Pittsburgh","host_organization_lineage":["https://openalex.org/I170201317"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"NonPeerReviewed"},{"id":"pmh:oai:arXiv.org:1905.07662","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.07662","pdf_url":"https://arxiv.org/pdf/1905.07662","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:002842655","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1093/jigpal/jzx024","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:philarchive.org/rec/STELHT-2","is_oa":false,"landing_page_url":"https://philarchive.org/rec/STELHT-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306402130","display_name":"PhilPapers (PhilPapers Foundation)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:philpapers.org/rec/STELHT-2","is_oa":false,"landing_page_url":"https://philpapers.org/rec/STELHT-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306402131","display_name":"PhilPapers (PhilPapers Foundation)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1905.07662","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.07662","pdf_url":"https://arxiv.org/pdf/1905.07662","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W206347215","https://openalex.org/W1481398220","https://openalex.org/W1495481456","https://openalex.org/W1498746581","https://openalex.org/W1533381840","https://openalex.org/W1535330173","https://openalex.org/W1905426918","https://openalex.org/W1966710300","https://openalex.org/W1967293369","https://openalex.org/W1977323698","https://openalex.org/W1982720433","https://openalex.org/W2006258746","https://openalex.org/W2037383462","https://openalex.org/W2087225678","https://openalex.org/W2089907006","https://openalex.org/W2120052484","https://openalex.org/W2120906154","https://openalex.org/W2122986822","https://openalex.org/W2128895892","https://openalex.org/W2133551789","https://openalex.org/W2159036726","https://openalex.org/W2264275978","https://openalex.org/W2272570181","https://openalex.org/W2473463956","https://openalex.org/W2484571116","https://openalex.org/W2493240959","https://openalex.org/W2526014580","https://openalex.org/W2706775073","https://openalex.org/W2789132423","https://openalex.org/W4233341359","https://openalex.org/W4233799529","https://openalex.org/W4240809722","https://openalex.org/W4247964384","https://openalex.org/W4366363341","https://openalex.org/W6608396915","https://openalex.org/W6631989370","https://openalex.org/W6739751621","https://openalex.org/W6816238802","https://openalex.org/W6851351757"],"related_works":["https://openalex.org/W2185469136","https://openalex.org/W2011264131","https://openalex.org/W4306353150","https://openalex.org/W2026860389","https://openalex.org/W8219677","https://openalex.org/W3216879894","https://openalex.org/W2890132085","https://openalex.org/W2168054807","https://openalex.org/W2058990474","https://openalex.org/W3010844921"],"abstract_inverted_index":{"Abstract":[0],"Although":[1],"logical":[2,59,110],"consistency":[3],"is":[4],"desirable":[5],"in":[6,46,116],"scientific":[7],"research,":[8],"standard":[9],"statistical":[10,37],"hypothesis":[11,25,48],"tests":[12,26,49,98,118],"are":[13,67],"typically":[14],"logically":[15,33,81],"inconsistent.":[16],"To":[17],"address":[18],"this":[19],"issue,":[20],"previous":[21],"work":[22],"introduced":[23],"agnostic":[24,47,97],"and":[27,50,119],"proved":[28],"that":[29,66],"they":[30],"can":[31],"be":[32,80],"consistent":[34],"while":[35],"retaining":[36],"optimality":[38],"properties.":[39],"This":[40],"article":[41],"characterizes":[42],"the":[43,52,58,74,91,113],"credal":[44,92,114],"modalities":[45,78,93,115],"uses":[51],"hexagon":[53],"of":[54,69,71,85,87,107],"oppositions":[55,72,88,108],"to":[56,79,101],"explain":[57],"relations":[60,111],"between":[61,112],"these":[62,77,117],"modalities.":[63],"Geometric":[64],"solids":[65],"composed":[68,84],"hexagons":[70,86,106],"illustrate":[73],"conditions":[75],"for":[76],"consistent.":[82],"Prisms":[83],"show":[89],"how":[90],"obtained":[94],"from":[95],"two":[96],"vary":[99],"according":[100],"their":[102],"threshold":[103],"values.":[104],"Nested":[105],"summarize":[109],"prove":[120],"new":[121],"relations.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2017-11-17T00:00:00"}
