{"doi":"10.17713/ajs.v44i4.74","title":"Restricted graphical log-linear models","abstract":"<jats:p>We introduce a new type of graphical log-linear model called restricted graphical log-linear model. This model is obtained by imposing equality restrictions on subsets of main effects and of first-order interactions. These restrictions are obtained through partitions of the variable and first-order interaction sets. The vertices or variables in the same class have the same main effects in all their categories and the first-order interactions in the same class are equal. We study its properties and derive its associated likelihood equations and give some applications. A graphical representation is possible through a coloured graph.</jats:p>","journal":"Austrian Journal of Statistics","year":2015,"id":30186,"datarank":0.10397207708399181,"base_score":0.6931471805599453,"endowment":0.6931471805599453,"self_citation_contribution":0.10397207708399181,"citation_network_contribution":0.0,"self_endowment_contribution":0.10397207708399181,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":1,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":164573,"name":"Guillermina Eslava-Gómez","orcid":null,"position":1,"is_corresponding":false},{"id":164572,"name":"Ricardo Ramírez-Aldana","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":0.6931471805599453,"endowment":0.6931471805599453,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"24523987","pmcid":null,"openalex_id":"https://openalex.org/W2215481181","authors":[],"funders":[],"total_grants":0,"fwci":0.4452,"citation_percentile":0.77812201,"influential_citations":0,"citation_trend":[{"year":2016,"count":1}],"oa_status":"gold","license":"cc-by","oa_locations":[{"url":"https://www.ajs.or.at/index.php/ajs/article/download/vol44-4-2/90","host_type":"journal"},{"url":"https://doi.org/10.17713/ajs.v44i4.74","host_type":"GOLD"},{"url":"https://www.ajs.or.at/index.php/ajs/article/download/vol44-4-2/90","host_type":"publisher"},{"url":"https://doaj.org/article/94f76c2a57a04cc382ea7d2d7bace5c3","host_type":"repository"}],"fields_of_study":["Bayesian Modeling and Causal Inference","Data Management and Algorithms","Data Visualization and Analytics","Mathematics"],"mesh_terms":[],"keywords":["Graphical model","Mathematics","Class (philosophy)","Graphical display","Graph","Log-linear model","Representation (politics)","Variable (mathematics)","Order (exchange)","Discrete mathematics","Combinatorics","Linear model","Computer science","Statistics","Artificial intelligence","Mathematical analysis"],"sdg_mappings":[{"sdg_number":0,"sdg_label":"Reduced inequalities"}],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-09T01:58:42.279797Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}