{"id":"https://openalex.org/W3019728459","doi":null,"title":"TESTING A PRECISE HYPOTHESIS INTERPRETING P-VALUES FROM A ROBUST BAYESIAN VIEW POINT (LOWER BOUNDS, POSTERIOR PROBABILITIES)","display_name":"TESTING A PRECISE HYPOTHESIS INTERPRETING P-VALUES FROM A ROBUST BAYESIAN VIEW POINT (LOWER BOUNDS, POSTERIOR PROBABILITIES)","publication_year":1986,"publication_date":"1986-01-01","ids":{"openalex":"https://openalex.org/W3019728459","mag":"3019728459"},"language":"en","primary_location":{"id":"pmh:oai:docs.lib.purdue.edu:dissertations-29137","doi":null,"is_oa":false,"landing_page_url":"https://docs.lib.purdue.edu/dissertations/AAI8700875","pdf_url":null,"source":{"id":"https://openalex.org/S4377196310","display_name":"Purdue e-Pubs (Purdue University System)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801333002","host_organization_name":"Purdue University System","host_organization_lineage":["https://openalex.org/I2801333002"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations Available from ProQuest","raw_type":"text"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037269904","display_name":"Mohan Delampady","orcid":"https://orcid.org/0000-0002-9994-0777","observed_orcids":["https://orcid.org/0000-0002-9994-0777"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mohan Delampady","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9994-0777","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5037269904"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.986299991607666,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.986299991607666,"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/T13500","display_name":"Probability and Statistical Research","score":0.0032999999821186066,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.0020000000949949026,"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/p-value-interpretation","display_name":"p-value interpretation","score":0.7419999837875366},{"id":"https://openalex.org/keywords/robust-bayesian-inference","display_name":"robust Bayesian inference","score":0.8109999895095825},{"id":"https://openalex.org/keywords/two-sided-hypothesis-testing","display_name":"two-sided hypothesis testing","score":0.8669999837875366},{"id":"https://openalex.org/keywords/objective-priors","display_name":"objective priors","score":0.7360000014305115},{"id":"https://openalex.org/keywords/likelihood-ratios","display_name":"likelihood ratios","score":0.5720000267028809},{"id":"https://openalex.org/keywords/multivariate-hypothesis-testing","display_name":"multivariate hypothesis testing","score":0.7239999771118164},{"id":"https://openalex.org/keywords/null-hypothesis","display_name":"null hypothesis","score":0.3490000069141388}],"concepts":[{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.59201580286026},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.5906009674072266},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4956458806991577},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4537794888019562},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.42720791697502136},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.4181886613368988},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.41131800413131714},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3619583249092102},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3523203730583191},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:docs.lib.purdue.edu:dissertations-29137","doi":null,"is_oa":false,"landing_page_url":"https://docs.lib.purdue.edu/dissertations/AAI8700875","pdf_url":null,"source":{"id":"https://openalex.org/S4377196310","display_name":"Purdue e-Pubs (Purdue University System)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801333002","host_organization_name":"Purdue University System","host_organization_lineage":["https://openalex.org/I2801333002"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations Available from ProQuest","raw_type":"text"},{"id":"mag:3019728459","doi":null,"is_oa":false,"landing_page_url":"https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=29137&context=dissertations","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":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2086083509","https://openalex.org/W2128585330","https://openalex.org/W4384698675","https://openalex.org/W1965173775","https://openalex.org/W4200633520","https://openalex.org/W1975642578","https://openalex.org/W2891886352","https://openalex.org/W1993725118","https://openalex.org/W2058440099","https://openalex.org/W2410064688"],"abstract_inverted_index":{"The":[0,12,40,147],"testing":[1],"of":[2,23,47,73,92,134,186,200],"two-sided":[3],"hypotheses":[4],"in":[5,107,149],"univariate":[6],"and":[7,30,58,84,177],"multivariate":[8],"situations":[9],"is":[10,14,105,116,158,172],"considered.":[11],"goal":[13],"to":[15,31,55,64,81,140,145,162],"establish":[16],"lower":[17,34,41,96,151],"bounds":[18,35,42,97,129],"on":[19,98,130],"the":[20,37,71,95,120,123,131,135,167,184,187,194],"posterior":[21,99,178],"probabilities":[22,54,179],"null":[24],"hypotheses,":[25,136],"using":[26],"Robust":[27],"Bayesian":[28,108,156],"techniques,":[29],"compare":[32],"these":[33,150],"with":[36,89,101,110],"corresponding":[38,168],"P-values.":[39,169,201],"are":[43,85,180],"calculated":[44],"over":[45],"classes":[46,91],"prior":[48,75],"distributions":[49,76],"which":[50,77],"(1)":[51],"assign":[52,78],"specified":[53,112],"each":[56,82],"hypotheses;":[57],"(2)":[59],"can":[60,125],"otherwise":[61],"be":[62,65,70,126,163],"considered":[63],"\"objective\".":[66],"An":[67],"example":[68],"would":[69],"class":[72],"all":[74],"probability":[79,100],"1/2":[80],"hypothesis":[83],"suitably":[86],"\"symmetric\".":[87],"Dealing":[88],"such":[90],"priors":[93],"imbues":[94],"an":[102],"objectivity":[103,115],"that":[104,122,159,175,189],"lacking":[106],"analyses":[109],"a":[111,142],"prior.":[113],"This":[114],"also":[117],"indicated":[118],"by":[119],"fact":[121],"results":[124],"interpreted":[127],"as":[128],"likelihood":[132,143],"ratio":[133],"if":[137],"one":[138],"were":[139],"take":[141],"approach":[144],"testing.":[146],"interest":[148],"bounds,":[152],"besides":[153],"their":[154],"intrinsic":[155],"interest,":[157],"they":[160],"tend":[161],"considerably":[164],"larger":[165],"than":[166],"While":[170],"it":[171],"well":[173],"understood":[174],"P-values":[176],"very":[181,197],"different":[182],"quantities":[183],"magnitudes":[185],"differences":[188],"we":[190],"observe":[191],"make":[192],"clear":[193],"need":[195],"for":[196],"careful":[198],"interpretation":[199]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2020-05-01T00:00:00"}