{"id":"https://openalex.org/W1960540381","doi":"https://doi.org/10.3390/e17085333","title":"Statistical Evidence Measured on a Properly Calibrated Scale across Nested and Non-nested Hypothesis Comparisons","display_name":"Statistical Evidence Measured on a Properly Calibrated Scale across Nested and Non-nested Hypothesis Comparisons","publication_year":2015,"publication_date":"2015-07-29","ids":{"openalex":"https://openalex.org/W1960540381","doi":"https://doi.org/10.3390/e17085333","mag":"1960540381"},"language":"en","primary_location":{"id":"doi:10.3390/e17085333","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17085333","pdf_url":"https://www.mdpi.com/1099-4300/17/8/5333/pdf?version=1438161263","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/17/8/5333/pdf?version=1438161263","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007970056","display_name":"Veronica J. Vieland","orcid":"https://orcid.org/0000-0002-3004-3840"},"institutions":[{"id":"https://openalex.org/I1314135232","display_name":"Nationwide Children's Hospital","ror":"https://ror.org/003rfsp33","country_code":"US","type":"funder","lineage":["https://openalex.org/I1314135232"]},{"id":"https://openalex.org/I1325736334","display_name":"Battelle","ror":"https://ror.org/01h5tnr73","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1325736334"]},{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Veronica Vieland","raw_affiliation_strings":["Battelle Center for Mathematical Medicine, The Research Institute at Nationwide Children's Hospital, 575 Children's Crossroad, Columbus, OH 43215, USA","Departments of Pediatrics and Statistics, The Ohio State University, Columbus, OH 43215, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Battelle Center for Mathematical Medicine, The Research Institute at Nationwide Children's Hospital, 575 Children's Crossroad, Columbus, OH 43215, USA","institution_ids":["https://openalex.org/I1314135232","https://openalex.org/I1325736334"]},{"raw_affiliation_string":"Departments of Pediatrics and Statistics, The Ohio State University, Columbus, OH 43215, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028035164","display_name":"Sang-Cheol Seok","orcid":"https://orcid.org/0000-0003-3955-9891"},"institutions":[{"id":"https://openalex.org/I1314135232","display_name":"Nationwide Children's Hospital","ror":"https://ror.org/003rfsp33","country_code":"US","type":"funder","lineage":["https://openalex.org/I1314135232"]},{"id":"https://openalex.org/I1325736334","display_name":"Battelle","ror":"https://ror.org/01h5tnr73","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1325736334"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sang-Cheol Seok","raw_affiliation_strings":["Battelle Center for Mathematical Medicine, The Research Institute at Nationwide Children's Hospital, 575 Children's Crossroad, Columbus, OH 43215, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Battelle Center for Mathematical Medicine, The Research Institute at Nationwide Children's Hospital, 575 Children's Crossroad, Columbus, OH 43215, USA","institution_ids":["https://openalex.org/I1314135232","https://openalex.org/I1325736334"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007970056"],"corresponding_institution_ids":["https://openalex.org/I1314135232","https://openalex.org/I1325736334","https://openalex.org/I52357470"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4765,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6495428,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"8","first_page":"5333","last_page":"5352"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9828000068664551,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9613000154495239,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6884849667549133},{"id":"https://openalex.org/keywords/statistical-model","display_name":"Statistical model","score":0.556144654750824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5328636169433594},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5240433812141418},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5027003288269043},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5025269985198975},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.48613497614860535},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.4703621566295624},{"id":"https://openalex.org/keywords/binomial-distribution","display_name":"Binomial distribution","score":0.46116867661476135},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.4389869272708893},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4255000948905945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4009518623352051},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36700260639190674},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.36391305923461914},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20599037408828735},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.19497424364089966},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1379203498363495}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6884849667549133},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.556144654750824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5328636169433594},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5240433812141418},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5027003288269043},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5025269985198975},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.48613497614860535},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.4703621566295624},{"id":"https://openalex.org/C41054675","wikidata":"https://www.wikidata.org/wiki/Q185547","display_name":"Binomial distribution","level":2,"score":0.46116867661476135},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4389869272708893},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4255000948905945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4009518623352051},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36700260639190674},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.36391305923461914},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20599037408828735},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.19497424364089966},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1379203498363495},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e17085333","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17085333","pdf_url":"https://www.mdpi.com/1099-4300/17/8/5333/pdf?version=1438161263","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1506.04989","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.04989","pdf_url":"https://arxiv.org/pdf/1506.04989","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:oai:doaj.org/article:88e0404130fd45c3b93e5e327c694d6b","is_oa":true,"landing_page_url":"https://doaj.org/article/88e0404130fd45c3b93e5e327c694d6b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 17, Iss 8, Pp 5333-5352 (2015)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/17/8/5333/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e17085333","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e17085333","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17085333","pdf_url":"https://www.mdpi.com/1099-4300/17/8/5333/pdf?version=1438161263","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7699999809265137,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306159","display_name":"W. M. Keck Foundation","ror":"https://ror.org/000dswa46"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1960540381.pdf","grobid_xml":"https://content.openalex.org/works/W1960540381.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W601462460","https://openalex.org/W1515170136","https://openalex.org/W1633719812","https://openalex.org/W1972330742","https://openalex.org/W1986450204","https://openalex.org/W2001805608","https://openalex.org/W2002027016","https://openalex.org/W2020387451","https://openalex.org/W2021803007","https://openalex.org/W2023395353","https://openalex.org/W2039326703","https://openalex.org/W2057384912","https://openalex.org/W2101926378","https://openalex.org/W2123838014","https://openalex.org/W2162788228","https://openalex.org/W2170504163","https://openalex.org/W2414826318","https://openalex.org/W2476485050","https://openalex.org/W3104287767","https://openalex.org/W4211177544","https://openalex.org/W4233898239","https://openalex.org/W4235212579","https://openalex.org/W4248010808"],"related_works":["https://openalex.org/W2590472383","https://openalex.org/W2383873009","https://openalex.org/W2393580911","https://openalex.org/W2951020105","https://openalex.org/W1995243476","https://openalex.org/W2212184297","https://openalex.org/W3156456913","https://openalex.org/W4300013288","https://openalex.org/W4387527746","https://openalex.org/W4256548255"],"abstract_inverted_index":{"Statistical":[0],"modeling":[1],"is":[2,67,71],"often":[3],"used":[4,56],"to":[5,57,106,140,145,153,164,167,185],"measure":[6,58,194],"the":[7,48,84,93,96,102,119,130,133,142,155,168,186],"strength":[8],"of":[9,27,47,52,95,104,109,132,172,174,188,195],"evidence":[10,59,197],"for":[11,33,60,198],"or":[12],"against":[13],"hypotheses":[14],"about":[15],"given":[16],"data.":[17],"We":[18],"have":[19],"previously":[20],"proposed":[21],"an":[22,44],"information-dynamic":[23,181],"framework":[24,85],"in":[25,82,92,200],"support":[26],"a":[28,61,147,190],"properly":[29,192],"calibrated":[30,193],"measurement":[31,156],"scale":[32,157],"statistical":[34,170,196],"evidence,":[35],"borrowing":[36],"some":[37],"mathematics":[38],"from":[39],"thermodynamics,":[40],"and":[41,160],"showing":[42],"how":[43],"evidential":[45],"analogue":[46],"ideal":[49,121],"gas":[50,122],"equation":[51,123],"state":[53],"could":[54],"be":[55,165],"one-sided":[62],"binomial":[63,97],"hypothesis":[64,110],"comparison":[65],"(\u201ccoin":[66],"fair\u201d":[68],"vs.":[69],"\u201ccoin":[70],"biased":[72],"towards":[73],"heads\u201d).":[74],"Here":[75],"we":[76,162],"take":[77],"three":[78],"important":[79],"steps":[80],"forward":[81],"generalizing":[83],"beyond":[86],"this":[87],"simple":[88,126],"example,":[89],"albeit":[90],"still":[91],"context":[94],"model.":[98],"We:":[99],"(1)":[100],"extend":[101],"scope":[103],"application":[105],"other":[107],"forms":[108],"comparison;":[111],"(2)":[112],"show":[113],"that":[114],"doing":[115],"so":[116],"requires":[117],"only":[118],"original":[120],"plus":[124],"one":[125],"extension,":[127],"which":[128,150,161],"has":[129],"form":[131],"Van":[134],"der":[135],"Waals":[136],"equation;":[137],"(3)":[138],"begin":[139],"develop":[141],"principles":[143],"required":[144],"resolve":[146],"key":[148],"constant,":[149],"enables":[151],"us":[152],"calibrate":[154],"across":[158],"applications,":[159],"find":[163],"related":[166],"familiar":[169],"concept":[171],"degrees":[173],"freedom.":[175],"This":[176],"paper":[177],"thus":[178],"moves":[179],"our":[180],"theory":[182],"substantially":[183],"closer":[184],"goal":[187],"producing":[189],"practical,":[191],"use":[199],"general":[201],"applications.":[202]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}
