{"doi":"10.5705/ss.202023.0049","title":"Longitudinal Modeling of Rank-based Global Outcome","abstract":"Many chronic diseases exhibit multifaceted symptoms that cannot be comprehensively characterized by one outcome. To address this, researchers often adopt a global outcome to combine information from multiple individual outcomes. The global rank-sum facilitates robust integration of multiple outcomes and has been applied in many clinical studies. We consider longitudinal settings and devise a global percentile outcome for depicting patients' time-varying global disease burden. We develop useful regression strategies for the longitudinal global percentile outcome based on a flexible regression framework of the monotonic index model. Posing minimal restrictions, we propose a maximum rank correlation type estimator and show that it entails desirable asymptotic properties. The methods are also extended to accommodate the common missing at random dropout scenarios. We propose a computationally stable and efficient procedure for parameter estimation, as well as a perturbation scheme for consistent variance estimation. Numerical studies show that our method performs well under realistic settings. We apply the proposed method to data from a Parkinson's disease clinical trial to examine risk factors associated with elevated global disease burden and accelerated disease progression.","journal":"Statistica Sinica","year":2024,"id":495302,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":0.9541,"is_data_producer":false,"deposit_databanks":null,"is_oa":true,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"2024-01-01","fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":232859,"name":"Jing Ning","orcid":"0000-0002-5289-331X","position":1,"is_corresponding":false},{"id":967738,"name":"Xuming He","orcid":"0000-0002-3442-4173","position":2,"is_corresponding":false},{"id":500722,"name":"Anne‐Marie Wills","orcid":"0000-0002-0901-4711","position":3,"is_corresponding":false},{"id":447385,"name":"Ruosha Li","orcid":"0000-0003-3595-4392","position":4,"is_corresponding":false},{"id":568196,"name":"Maomao Ding","orcid":null,"position":0,"is_corresponding":true}],"reference_count":28,"raw_metadata":null,"created_at":"2026-07-19T02:09:15.528853Z","pmid":"41959649","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":[]}