{"id":"https://openalex.org/W2257974059","doi":"https://doi.org/10.1007/3-540-28397-8_14","title":"ANOVA Models with Generalized Inverses","display_name":"ANOVA Models with Generalized Inverses","publication_year":2005,"publication_date":"2005-11-24","ids":{"openalex":"https://openalex.org/W2257974059","doi":"https://doi.org/10.1007/3-540-28397-8_14","mag":"2257974059"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-28397-8_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-28397-8_14","pdf_url":null,"source":{"id":"https://openalex.org/S4210194094","display_name":"Studies in classification, data analysis, and knowledge organization","issn_l":"1431-8814","issn":["1431-8814","2198-3321"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Classification, Data Analysis, and Knowledge Organization","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"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/A5035260271","display_name":"Wolfgang Polasek","orcid":null},"institutions":[{"id":"https://openalex.org/I4210156362","display_name":"Institut f\u00fcr H\u00f6here Studien - Institute for Advanced Studies (IHS)","ror":"https://ror.org/05ag62t55","country_code":"AT","type":"nonprofit","lineage":["https://openalex.org/I4210156362"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Wolfgang Polasek","raw_affiliation_strings":["Institute of Advanced Studies, Stumpergasse 56, A-1060, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Advanced Studies, Stumpergasse 56, A-1060, Vienna, Austria","institution_ids":["https://openalex.org/I4210156362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035954014","display_name":"Shuangzhe Liu","orcid":"https://orcid.org/0000-0002-4858-2789"},"institutions":[{"id":"https://openalex.org/I2802631561","display_name":"Australian Mathematical Sciences Institute","ror":"https://ror.org/00yn60108","country_code":"AU","type":"other","lineage":["https://openalex.org/I2802631561"]},{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Shuangzhe Liu","raw_affiliation_strings":["Centre for Mathematics and its Applications, Mathematical Sciences Institute, Australian National University, Canberra, ACT, 0200, Australia"],"affiliations":[{"raw_affiliation_string":"Centre for Mathematics and its Applications, Mathematical Sciences Institute, Australian National University, Canberra, ACT, 0200, Australia","institution_ids":["https://openalex.org/I2802631561","https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035260271"],"corresponding_institution_ids":["https://openalex.org/I4210156362"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11646952,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"113","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9958999752998352,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9958999752998352,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.992900013923645,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/mathematics","display_name":"Mathematics","score":0.7378125190734863},{"id":"https://openalex.org/keywords/analysis-of-variance","display_name":"Analysis of variance","score":0.6706658005714417},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6277686953544617},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5582020878791809},{"id":"https://openalex.org/keywords/mixed-design-analysis-of-variance","display_name":"Mixed-design analysis of variance","score":0.549363911151886},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.48849618434906006},{"id":"https://openalex.org/keywords/one-way-analysis-of-variance","display_name":"One-way analysis of variance","score":0.46469494700431824},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4449465274810791},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.43725576996803284},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18825969099998474},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.054708272218704224}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7378125190734863},{"id":"https://openalex.org/C99476002","wikidata":"https://www.wikidata.org/wiki/Q42297","display_name":"Analysis of variance","level":2,"score":0.6706658005714417},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6277686953544617},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5582020878791809},{"id":"https://openalex.org/C11545786","wikidata":"https://www.wikidata.org/wiki/Q6883841","display_name":"Mixed-design analysis of variance","level":3,"score":0.549363911151886},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.48849618434906006},{"id":"https://openalex.org/C152587130","wikidata":"https://www.wikidata.org/wiki/Q7092351","display_name":"One-way analysis of variance","level":3,"score":0.46469494700431824},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4449465274810791},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.43725576996803284},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18825969099998474},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.054708272218704224},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-28397-8_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-28397-8_14","pdf_url":null,"source":{"id":"https://openalex.org/S4210194094","display_name":"Studies in classification, data analysis, and knowledge organization","issn_l":"1431-8814","issn":["1431-8814","2198-3321"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Classification, Data Analysis, and Knowledge Organization","raw_type":"book-chapter"},{"id":"pmh:tle:ede75461-2af2-6311-d466-2c3527cb8e33:1f071524-0ffb-45dd-b0fd-e2ac8222ffc2:1","is_oa":false,"landing_page_url":"http://www.canberra.edu.au/researchrepository/items/ede75461-2af2-6311-d466-2c3527cb8e33/1/","pdf_url":null,"source":{"id":"https://openalex.org/S7407050591","display_name":"University of Canberra Research Portal","issn_l":null,"issn":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W47747078","https://openalex.org/W1548083578","https://openalex.org/W2008662004","https://openalex.org/W2021142183","https://openalex.org/W2034789352","https://openalex.org/W2083109962","https://openalex.org/W2319794630","https://openalex.org/W2403035479","https://openalex.org/W2797638056","https://openalex.org/W2797772566","https://openalex.org/W3137970571","https://openalex.org/W4206653471","https://openalex.org/W4233110100","https://openalex.org/W4235611253","https://openalex.org/W4236093976","https://openalex.org/W4302078450"],"related_works":["https://openalex.org/W4249348583","https://openalex.org/W4240415380","https://openalex.org/W4244747050","https://openalex.org/W606661842","https://openalex.org/W2042351583","https://openalex.org/W4385980904","https://openalex.org/W2580962661","https://openalex.org/W1981365936","https://openalex.org/W4387918109","https://openalex.org/W1606954773"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
