{"doi":"10.1177/0146621609331961","title":"A Parametric Cumulative Sum Statistic for Person Fit","abstract":"<jats:p>This article develops a new cumulative sum (CUSUM) statistic to detect aberrant item response behavior. Shifts in behavior are modeled with quadratic functions and a series of likelihood ratio tests are used to detect aberrancy. The new CUSUM statistic is compared against another CUSUM approach as well as traditional person-fit statistics. A simulation study demonstrates the advantage of the proposed method. Also, the person-fit methods are applied to real response data from the administration of a high-stakes exam. The use of CUSUM charts to help visually identify types of aberrant behavior is demonstrated.</jats:p>","journal":"Applied Psychological Measurement","year":2009,"id":646292,"datarank":0.5775221402565088,"base_score":3.8501476017100584,"endowment":3.8501476017100584,"self_citation_contribution":0.5775221402565088,"citation_network_contribution":0.0,"self_endowment_contribution":0.5775221402565088,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":46,"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":11427,"name":"Min Shi","orcid":"0000-0001-8265-5307","position":1,"is_corresponding":false},{"id":1683274,"name":"Ronald D. Armstrong","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"A Parametric Cumulative Sum Statistic for Person Fit","abstract":"<jats:p>This article develops a new cumulative sum (CUSUM) statistic to detect aberrant item response behavior. Shifts in behavior are modeled with quadratic functions and a series of likelihood ratio tests are used to detect aberrancy. The new CUSUM statistic is compared against another CUSUM approach as well as traditional person-fit statistics. A simulation study demonstrates the advantage of the proposed method. Also, the person-fit methods are applied to real response data from the administration of a high-stakes exam. The use of CUSUM charts to help visually identify types of aberrant behavior is demonstrated.</jats:p>","is_dataset_classified":null,"base_score":3.8501476017100584,"endowment":3.8501476017100584,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"19767382","pmcid":null,"openalex_id":"https://openalex.org/W2112011896","authors":[],"funders":[],"total_grants":0,"fwci":4.0994,"citation_percentile":0.93759458,"influential_citations":0,"citation_trend":[{"year":2012,"count":4},{"year":2013,"count":3},{"year":2014,"count":2},{"year":2016,"count":8},{"year":2017,"count":3},{"year":2018,"count":2},{"year":2019,"count":4},{"year":2020,"count":3},{"year":2021,"count":4},{"year":2022,"count":3},{"year":2023,"count":1},{"year":2024,"count":2},{"year":2025,"count":1}],"oa_status":"closed","license":"https://journals.sagepub.com/page/policies/text-and-data-mining-license","oa_locations":[{"url":"https://journals.sagepub.com/doi/pdf/10.1177/0146621609331961","host_type":"publisher"},{"url":"https://doi.org/10.1177/0146621609331961","host_type":"journal"}],"fields_of_study":["Psychometric Methodologies and Testing","Optimal Experimental Design Methods","Advanced Statistical Modeling Techniques"],"mesh_terms":[],"keywords":["CUSUM","Statistic","Statistics","Parametric statistics","Sufficient statistic","Goodness of fit","Computer science","Econometrics","Mathematics"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-09T12:29:50.473954Z","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":[]}