{"id":"https://openalex.org/W2134384386","doi":"https://doi.org/10.1093/bioinformatics/btl109","title":"Construction of null statistics in permutation-based multiple testing for multi-factorial microarray experiments","display_name":"Construction of null statistics in permutation-based multiple testing for multi-factorial microarray experiments","publication_year":2006,"publication_date":"2006-03-30","ids":{"openalex":"https://openalex.org/W2134384386","doi":"https://doi.org/10.1093/bioinformatics/btl109","mag":"2134384386","pmid":"https://pubmed.ncbi.nlm.nih.gov/16574697"},"language":"en","primary_location":{"id":"doi:10.1093/bioinformatics/btl109","is_oa":true,"landing_page_url":"https://doi.org/10.1093/bioinformatics/btl109","pdf_url":"https://academic.oup.com/bioinformatics/article-pdf/22/12/1486/48838111/bioinformatics_22_12_1486.pdf","source":{"id":"https://openalex.org/S52395412","display_name":"Bioinformatics","issn_l":"1367-4803","issn":["1367-4803","1367-4811"],"is_oa":false,"is_in_doaj":true,"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":"Bioinformatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://academic.oup.com/bioinformatics/article-pdf/22/12/1486/48838111/bioinformatics_22_12_1486.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004008569","display_name":"Xin Gao","orcid":"https://orcid.org/0000-0001-8057-5100"},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Xin Gao","raw_affiliation_strings":["Department of Mathematics and Statistics, York University \u00a0 4700 Keele Street, Toronto, ON M3J 1P3, Canada","Department of Mathematics and Statistics , York University , 4700 Keele Street, Toronto , ON , M3J 1P3 , Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, York University \u00a0 4700 Keele Street, Toronto, ON M3J 1P3, Canada","institution_ids":["https://openalex.org/I192455969"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , York University , 4700 Keele Street, Toronto , ON , M3J 1P3 , Canada","institution_ids":["https://openalex.org/I192455969"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004008569"],"corresponding_institution_ids":["https://openalex.org/I192455969"],"apc_list":{"value":3618,"currency":"USD","value_usd":3618},"apc_paid":null,"fwci":0.9535,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.73591003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"22","issue":"12","first_page":"1486","last_page":"1494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.9983999729156494,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/null-distribution","display_name":"Null distribution","score":0.8092162013053894},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6837404370307922},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6354590654373169},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.6021909117698669},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5953583717346191},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.5931410193443298},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.5715181231498718},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.5207874178886414},{"id":"https://openalex.org/keywords/false-discovery-rate","display_name":"False discovery rate","score":0.4771415889263153},{"id":"https://openalex.org/keywords/null-hypothesis","display_name":"Null hypothesis","score":0.47415560483932495},{"id":"https://openalex.org/keywords/asymptotic-distribution","display_name":"Asymptotic distribution","score":0.4550025463104248},{"id":"https://openalex.org/keywords/ancillary-statistic","display_name":"Ancillary statistic","score":0.4366445541381836},{"id":"https://openalex.org/keywords/p-value","display_name":"p-value","score":0.4327279031276703},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2734084129333496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2480809986591339},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.10022035241127014},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.07545483112335205}],"concepts":[{"id":"https://openalex.org/C120639","wikidata":"https://www.wikidata.org/wiki/Q7068958","display_name":"Null distribution","level":4,"score":0.8092162013053894},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6837404370307922},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6354590654373169},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.6021909117698669},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5953583717346191},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.5931410193443298},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.5715181231498718},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5207874178886414},{"id":"https://openalex.org/C193244246","wikidata":"https://www.wikidata.org/wiki/Q5432696","display_name":"False discovery rate","level":3,"score":0.4771415889263153},{"id":"https://openalex.org/C191988596","wikidata":"https://www.wikidata.org/wiki/Q628374","display_name":"Null hypothesis","level":2,"score":0.47415560483932495},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.4550025463104248},{"id":"https://openalex.org/C141286372","wikidata":"https://www.wikidata.org/wiki/Q4753046","display_name":"Ancillary statistic","level":4,"score":0.4366445541381836},{"id":"https://openalex.org/C44036329","wikidata":"https://www.wikidata.org/wiki/Q253255","display_name":"p-value","level":3,"score":0.4327279031276703},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2734084129333496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2480809986591339},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.10022035241127014},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.07545483112335205},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003627","descriptor_name":"Data Interpretation, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003627","descriptor_name":"Data Interpretation, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003627","descriptor_name":"Data Interpretation, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004331","descriptor_name":"Drosophila melanogaster","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004331","descriptor_name":"Drosophila melanogaster","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004331","descriptor_name":"Drosophila melanogaster","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005189","descriptor_name":"False Positive Reactions","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005189","descriptor_name":"False Positive Reactions","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005189","descriptor_name":"False Positive Reactions","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D020411","descriptor_name":"Oligonucleotide Array Sequence Analysis","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D020411","descriptor_name":"Oligonucleotide Array Sequence Analysis","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D020411","descriptor_name":"Oligonucleotide Array Sequence Analysis","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D020869","descriptor_name":"Gene Expression Profiling","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D020869","descriptor_name":"Gene Expression Profiling","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D020869","descriptor_name":"Gene Expression Profiling","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1093/bioinformatics/btl109","is_oa":true,"landing_page_url":"https://doi.org/10.1093/bioinformatics/btl109","pdf_url":"https://academic.oup.com/bioinformatics/article-pdf/22/12/1486/48838111/bioinformatics_22_12_1486.pdf","source":{"id":"https://openalex.org/S52395412","display_name":"Bioinformatics","issn_l":"1367-4803","issn":["1367-4803","1367-4811"],"is_oa":false,"is_in_doaj":true,"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":"Bioinformatics","raw_type":"journal-article"},{"id":"pmid:16574697","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/16574697","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":"Bioinformatics (Oxford, England)","raw_type":null}],"best_oa_location":{"id":"doi:10.1093/bioinformatics/btl109","is_oa":true,"landing_page_url":"https://doi.org/10.1093/bioinformatics/btl109","pdf_url":"https://academic.oup.com/bioinformatics/article-pdf/22/12/1486/48838111/bioinformatics_22_12_1486.pdf","source":{"id":"https://openalex.org/S52395412","display_name":"Bioinformatics","issn_l":"1367-4803","issn":["1367-4803","1367-4811"],"is_oa":false,"is_in_doaj":true,"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":"Bioinformatics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Quality Education","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/4"}],"awards":[{"id":"https://openalex.org/G2862252062","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2134384386.pdf","grobid_xml":"https://content.openalex.org/works/W2134384386.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1497310156","https://openalex.org/W1964895626","https://openalex.org/W2018490949","https://openalex.org/W2024728905","https://openalex.org/W2074089196","https://openalex.org/W2077843346","https://openalex.org/W2093017030","https://openalex.org/W2099101879","https://openalex.org/W2103129584","https://openalex.org/W2104695131","https://openalex.org/W2105896055","https://openalex.org/W2108819945","https://openalex.org/W2110065044","https://openalex.org/W2115217121","https://openalex.org/W2120488121","https://openalex.org/W2122323371","https://openalex.org/W2130530904","https://openalex.org/W2133525788","https://openalex.org/W2137845876","https://openalex.org/W2140954822","https://openalex.org/W2147193948","https://openalex.org/W2157795344","https://openalex.org/W2159851582","https://openalex.org/W2169320928","https://openalex.org/W2798142305","https://openalex.org/W4294107304","https://openalex.org/W6629850505"],"related_works":["https://openalex.org/W4294642869","https://openalex.org/W2950531074","https://openalex.org/W1869275789","https://openalex.org/W163194900","https://openalex.org/W2017112131","https://openalex.org/W2127561481","https://openalex.org/W2373347001","https://openalex.org/W3121684444","https://openalex.org/W2160933524","https://openalex.org/W2134384386"],"abstract_inverted_index":{"In":[0,81],"this":[1],"paper,":[2],"we":[3],"extend":[4],"the":[5,17,21,26,50,54,66,73,82,90,96,102,111,115,130,137,148],"ideas":[6],"of":[7,53,92,101,110,114,129,147],"constructing":[8],"null":[9,34,51,58,104],"statistics":[10],"based":[11,36],"on":[12,37],"pairwise":[13],"differences":[14],"to":[15,25,48,62,141],"neglect":[16],"treatment":[18],"effects":[19],"from":[20],"two-sample":[22],"comparison":[23],"problem":[24],"multifactorial":[27],"balanced":[28],"or":[29],"unbalanced":[30],"microarray":[31],"experiments.":[32],"A":[33],"statistic":[35,59,105],"a":[38,126,133],"subpartition":[39],"method":[40,124,140],"is":[41,46,60,69],"proposed":[42,57,103,123],"and":[43,68,79,85,95,132],"its":[44,77],"distribution":[45,52],"employed":[47],"approximate":[49],"F-statistic.":[55,116],"The":[56],"able":[61],"accommodate":[63],"unbalance":[64],"in":[65],"design":[67],"also":[70],"corrected":[71],"for":[72],"undue":[74],"correlation":[75],"between":[76],"numerator":[78],"denominator.":[80],"simulation":[83],"studies":[84],"real":[86],"biological":[87],"data":[88],"analysis,":[89],"number":[91],"true":[93],"positives":[94],"false":[97],"discovery":[98],"rate":[99],"(FDR)":[100],"are":[106],"compared":[107],"with":[108],"those":[109],"permutated":[112],"version":[113],"It":[117],"has":[118,125],"been":[119],"shown":[120],"that":[121],"our":[122],"better":[127,149],"control":[128],"FDRs":[131],"higher":[134],"power":[135],"than":[136],"standard":[138],"permutation":[139],"detect":[142],"differentially":[143],"expressed":[144],"genes":[145],"because":[146],"approximated":[150],"tail":[151],"probabilities.":[152]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
