{"id":"https://openalex.org/W4392394846","doi":"https://doi.org/10.4236/apm.2024.142005","title":"Adjustments for Kurtosis and Continuity on the Prentice Test","display_name":"Adjustments for Kurtosis and Continuity on the Prentice Test","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4392394846","doi":"https://doi.org/10.4236/apm.2024.142005"},"language":"en","primary_location":{"id":"doi:10.4236/apm.2024.142005","doi":"https://doi.org/10.4236/apm.2024.142005","is_oa":true,"landing_page_url":"https://doi.org/10.4236/apm.2024.142005","pdf_url":"https://www.scirp.org/pdf/apm_2024030115335192.pdf","source":{"id":"https://openalex.org/S2764560593","display_name":"Advances in Pure Mathematics","issn_l":"2160-0368","issn":["2160-0368","2160-0384"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Pure Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.scirp.org/pdf/apm_2024030115335192.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5094054205","display_name":"Lily C. Gebhart","orcid":"https://orcid.org/0009-0007-1280-2464","observed_orcids":["https://orcid.org/0009-0007-1280-2464"]},"institutions":[{"id":"https://openalex.org/I72903472","display_name":"Occidental College","ror":"https://ror.org/01mxmpy39","country_code":"US","type":"education","lineage":["https://openalex.org/I72903472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lily Gebhart","raw_affiliation_strings":["Math Department, Occidental College, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Math Department, Occidental College, Los Angeles, USA","institution_ids":["https://openalex.org/I72903472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002910231","display_name":"John E. Kolassa","orcid":"https://orcid.org/0000-0002-8246-4276","observed_orcids":["https://orcid.org/0000-0002-8246-4276"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John Kolassa","raw_affiliation_strings":["Department of Statistics, University of New Jersey, Piscataway, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of New Jersey, Piscataway, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3435,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51266389,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"14","issue":"02","first_page":"101","last_page":"117"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.9731000065803528,"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/T13500","display_name":"Probability and Statistical Research","score":0.9731000065803528,"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":0.007499999832361937,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.004800000227987766,"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/two-way-analysis-of-variance","display_name":"two-way analysis of variance","score":0.7599999904632568},{"id":"https://openalex.org/keywords/rank-tests","display_name":"rank tests","score":0.6650000214576721},{"id":"https://openalex.org/keywords/null-distribution","display_name":"null distribution","score":0.6819999814033508},{"id":"https://openalex.org/keywords/chi-square-approximation","display_name":"chi-square approximation","score":0.8169999718666077},{"id":"https://openalex.org/keywords/continuity-correction","display_name":"continuity correction","score":0.8190000057220459},{"id":"https://openalex.org/keywords/multivariate-skewness","display_name":"multivariate skewness","score":0.7929999828338623},{"id":"https://openalex.org/keywords/multivariate-kurtosis","display_name":"multivariate kurtosis","score":0.996999979019165},{"id":"https://openalex.org/keywords/rank-sums","display_name":"rank sums","score":0.6460000276565552}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.884064793586731},{"id":"https://openalex.org/C166963901","wikidata":"https://www.wikidata.org/wiki/Q287251","display_name":"Kurtosis","level":2,"score":0.8192752599716187},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.5378289818763733},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5221489071846008},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.41452500224113464},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3579781651496887},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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":1,"locations":[{"id":"doi:10.4236/apm.2024.142005","doi":"https://doi.org/10.4236/apm.2024.142005","is_oa":true,"landing_page_url":"https://doi.org/10.4236/apm.2024.142005","pdf_url":"https://www.scirp.org/pdf/apm_2024030115335192.pdf","source":{"id":"https://openalex.org/S2764560593","display_name":"Advances in Pure Mathematics","issn_l":"2160-0368","issn":["2160-0368","2160-0384"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Pure Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.4236/apm.2024.142005","doi":"https://doi.org/10.4236/apm.2024.142005","is_oa":true,"landing_page_url":"https://doi.org/10.4236/apm.2024.142005","pdf_url":"https://www.scirp.org/pdf/apm_2024030115335192.pdf","source":{"id":"https://openalex.org/S2764560593","display_name":"Advances in Pure Mathematics","issn_l":"2160-0368","issn":["2160-0368","2160-0384"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Pure Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392394846.pdf","grobid_xml":"https://content.openalex.org/works/W4392394846.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1516900628","https://openalex.org/W2000950277","https://openalex.org/W2008543002","https://openalex.org/W2028136296","https://openalex.org/W2037834516","https://openalex.org/W2041282815","https://openalex.org/W2076102067","https://openalex.org/W2082470186","https://openalex.org/W2963490363","https://openalex.org/W3076094014","https://openalex.org/W3208952255","https://openalex.org/W4241727697"],"related_works":["https://openalex.org/W2914407908","https://openalex.org/W3123629671","https://openalex.org/W2772151983","https://openalex.org/W2150232632","https://openalex.org/W2119746384","https://openalex.org/W4290802677","https://openalex.org/W4404707395","https://openalex.org/W2025188201","https://openalex.org/W2780711825","https://openalex.org/W2124061652"],"abstract_inverted_index":{"The":[0,18,72],"test":[1,9,23],"of":[2,14,21,48,74,81,91],"Prentice":[3],"[1]":[4],"is":[5,25],"a":[6,88],"non-parametric":[7],"statistical":[8],"for":[10,65],"the":[11,28,32,38,49,54,92],"two-way":[12],"analysis":[13],"variance":[15],"using":[16,27],"ranks.":[17],"null":[19,34,62],"distribution":[20,35,63],"this":[22,61],"typically":[24],"approximated":[26],"Chi-square":[29,39],"distribution.":[30,55],"However,":[31],"exact":[33],"deviates":[36],"from":[37],"approximation":[40],"in":[41,46],"certain":[42],"cases":[43],"commonly":[44],"found":[45],"applications":[47],"test,":[50],"motivating":[51],"adjustments":[52,59],"to":[53,60],"This":[56],"manuscript":[57],"presents":[58],"correcting":[64],"continuity,":[66],"multivariate":[67,70],"skewness,":[68],"and":[69],"kurtosis.":[71],"effects":[73],"alternative":[75],"scoring":[76],"methods":[77],"as":[78,87],"non-polynomial":[79],"functions":[80],"rank":[82],"sums":[83],"are":[84],"also":[85],"presented":[86],"broader":[89],"application":[90],"approximation.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2024-03-05T00:00:00"}