{"id":"https://openalex.org/W4409219743","doi":"https://doi.org/10.1186/s40708-025-00253-2","title":"Breakdown of the compositional data approach in psychometric Likert scale big data analysis: about the loss of statistical power of two-sample t-tests applied to heavy-tailed big data","display_name":"Breakdown of the compositional data approach in psychometric Likert scale big data analysis: about the loss of statistical power of two-sample t-tests applied to heavy-tailed big data","publication_year":2025,"publication_date":"2025-04-07","ids":{"openalex":"https://openalex.org/W4409219743","doi":"https://doi.org/10.1186/s40708-025-00253-2","pmid":"https://pubmed.ncbi.nlm.nih.gov/40195257"},"language":"en","primary_location":{"id":"doi:10.1186/s40708-025-00253-2","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40708-025-00253-2","pdf_url":"https://braininformatics.springeropen.com/counter/pdf/10.1186/s40708-025-00253-2","source":{"id":"https://openalex.org/S2498492389","display_name":"Brain Informatics","issn_l":"2198-4018","issn":["2198-4018","2198-4026"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brain Informatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://braininformatics.springeropen.com/counter/pdf/10.1186/s40708-025-00253-2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005666483","display_name":"Ren\u00e9 Lehmann","orcid":"https://orcid.org/0000-0003-4145-8272"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ren\u00e9 Lehmann","raw_affiliation_strings":["Chair in Business Administration, esp. in Empirical Economics, and Health Economics, Otto von Guericke University, Magdeburg, Germany. rene1.lehmann@ovgu.de","Ifes Institute of Empiricism and Statistics, FOM University of Applied Science, Essen, Germany. rene1.lehmann@ovgu.de"],"affiliations":[{"raw_affiliation_string":"Chair in Business Administration, esp. in Empirical Economics, and Health Economics, Otto von Guericke University, Magdeburg, Germany. rene1.lehmann@ovgu.de","institution_ids":[]},{"raw_affiliation_string":"Ifes Institute of Empiricism and Statistics, FOM University of Applied Science, Essen, Germany. rene1.lehmann@ovgu.de","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079820872","display_name":"Bodo Vogt","orcid":"https://orcid.org/0000-0002-6610-2515"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bodo Vogt","raw_affiliation_strings":["Chair in Business Administration, esp. in Empirical Economics, and Health Economics, Otto von Guericke University, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Chair in Business Administration, esp. in Empirical Economics, and Health Economics, Otto von Guericke University, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005666483"],"corresponding_institution_ids":[],"apc_list":{"value":790,"currency":"GBP","value_usd":969},"apc_paid":{"value":790,"currency":"GBP","value_usd":969},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03058682,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"1","first_page":"9","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.9916999936103821,"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/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.9916999936103821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-power","display_name":"Statistical power","score":0.577862024307251},{"id":"https://openalex.org/keywords/likert-scale","display_name":"Likert scale","score":0.5418449640274048},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.4908784031867981},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4799242615699768},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4612084925174713},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.46098101139068604},{"id":"https://openalex.org/keywords/sample-size-determination","display_name":"Sample size determination","score":0.45232611894607544},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.4482118785381317},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.4205387234687805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4117829203605652},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.41143113374710083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2900591492652893},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.2722198963165283}],"concepts":[{"id":"https://openalex.org/C96608239","wikidata":"https://www.wikidata.org/wiki/Q1199823","display_name":"Statistical power","level":2,"score":0.577862024307251},{"id":"https://openalex.org/C105776082","wikidata":"https://www.wikidata.org/wiki/Q617473","display_name":"Likert scale","level":2,"score":0.5418449640274048},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.4908784031867981},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4799242615699768},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4612084925174713},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.46098101139068604},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.45232611894607544},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.4482118785381317},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4205387234687805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4117829203605652},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.41143113374710083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2900591492652893},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2722198963165283},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1186/s40708-025-00253-2","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40708-025-00253-2","pdf_url":"https://braininformatics.springeropen.com/counter/pdf/10.1186/s40708-025-00253-2","source":{"id":"https://openalex.org/S2498492389","display_name":"Brain Informatics","issn_l":"2198-4018","issn":["2198-4018","2198-4026"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brain Informatics","raw_type":"journal-article"},{"id":"pmid:40195257","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40195257","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brain informatics","raw_type":null},{"id":"pmh:oai:doaj.org/article:92aa3e1695204e7db5e177218f7268c1","is_oa":true,"landing_page_url":"https://doaj.org/article/92aa3e1695204e7db5e177218f7268c1","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Brain Informatics, Vol 12, Iss 1, Pp 1-12 (2025)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:11977074","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11977074","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Brain Inform","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1186/s40708-025-00253-2","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40708-025-00253-2","pdf_url":"https://braininformatics.springeropen.com/counter/pdf/10.1186/s40708-025-00253-2","source":{"id":"https://openalex.org/S2498492389","display_name":"Brain Informatics","issn_l":"2198-4018","issn":["2198-4018","2198-4026"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brain Informatics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320335829","display_name":"Otto von Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409219743.pdf","grobid_xml":"https://content.openalex.org/works/W4409219743.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1493852950","https://openalex.org/W1647616909","https://openalex.org/W1964262399","https://openalex.org/W1988109937","https://openalex.org/W1999296654","https://openalex.org/W2014868782","https://openalex.org/W2018148838","https://openalex.org/W2050453477","https://openalex.org/W2061141931","https://openalex.org/W2068127686","https://openalex.org/W2086465016","https://openalex.org/W2087002810","https://openalex.org/W2113758107","https://openalex.org/W2120323899","https://openalex.org/W2137070227","https://openalex.org/W2149941633","https://openalex.org/W2164595404","https://openalex.org/W2168745915","https://openalex.org/W2171288877","https://openalex.org/W2297094747","https://openalex.org/W2501892441","https://openalex.org/W2915622977","https://openalex.org/W3124726575","https://openalex.org/W4251428492","https://openalex.org/W4299542564","https://openalex.org/W4299627282","https://openalex.org/W4386689497","https://openalex.org/W4391903575","https://openalex.org/W4399635687","https://openalex.org/W4400492626","https://openalex.org/W4407074807","https://openalex.org/W4407074987","https://openalex.org/W4407075735","https://openalex.org/W4407208457","https://openalex.org/W4408359015","https://openalex.org/W4410087327","https://openalex.org/W6804244378","https://openalex.org/W6939913071","https://openalex.org/W6977382960"],"related_works":["https://openalex.org/W4388813866","https://openalex.org/W1989415248","https://openalex.org/W2999104021","https://openalex.org/W977438452","https://openalex.org/W1481656249","https://openalex.org/W2850804095","https://openalex.org/W3041891053","https://openalex.org/W2162280767","https://openalex.org/W4236933217","https://openalex.org/W4386762140"],"abstract_inverted_index":{"Bipolar":[0],"psychometric":[1,68,157],"scale":[2,70,170],"data":[3,56,71,74,136],"play":[4],"a":[5,146,166],"crucial":[6],"role":[7],"in":[8,16,100,113,148,165],"psychological":[9,25],"healthcare":[10],"and":[11,19,36,61,83,90,172],"health":[12,96],"economics,":[13],"such":[14],"as":[15,72],"psychotherapeutic":[17,41],"profiling":[18],"setting":[20],"standards.":[21],"Creating":[22],"an":[23],"accurate":[24],"profile":[26],"not":[27],"only":[28],"benefits":[29],"the":[30,52,62,77,91,106,121,125,131,156,161,168,173,176],"patient":[31],"but":[32],"also":[33],"saves":[34],"time":[35],"costs.":[37],"The":[38,143],"quality":[39],"of":[40,54,65,80,95,123,130,159,163,175],"measures":[42],"directly":[43],"impacts":[44],"grant":[45],"funding":[46],"decisions,":[47],"influencing":[48],"managerial":[49,88],"choices.":[50],"Moreover,":[51],"accuracy":[53],"consumer":[55],"analyses":[57],"affects":[58],"costs,":[59],"profits,":[60],"long-term":[63],"sustainability":[64],"decisions.":[66],"Considering":[67],"bipolar":[69],"compositional":[73],"can":[75],"enhance":[76],"statistical":[78,101,128,149],"power":[79,102,129,150],"well-known":[81],"paired":[82],"unpaired":[84,132],"two-sample":[85],"t-tests,":[86],"supporting":[87],"decision-making":[89],"development":[92],"or":[93],"implementation":[94],"interventions.":[97],"This":[98],"increase":[99],"is":[103],"observed":[104],"when":[105],"central":[107],"limit":[108,158],"theorem":[109],"(CLT)":[110],"holds":[111],"true":[112],"statistics.":[114],"Through":[115],"stochastic":[116],"simulation,":[117],"this":[118],"study":[119],"explores":[120],"impact":[122],"violating":[124],"CLT":[126],"on":[127,152],"t-test":[133],"under":[134],"heavy-tailed":[135],"generating":[137],"processes":[138],"(DGPs)":[139],"with":[140],"finite":[141],"variance.":[142],"findings":[144],"reveal":[145],"reduction":[147],"based":[151],"specific":[153],"parameters":[154],"like":[155],"quantification,":[160],"number":[162],"items":[164],"questionnaire,":[167],"response":[169],"used,":[171],"dispersion":[174],"DGP.":[177]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}