{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T03:51:03Z","timestamp":1770522663414,"version":"3.49.0"},"reference-count":29,"publisher":"Wiley","issue":"28","license":[{"start":{"date-parts":[[2024,10,15]],"date-time":"2024-10-15T00:00:00Z","timestamp":1728950400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/100000062","name":"National Institute of Diabetes and Digestive and Kidney Diseases","doi-asserted-by":"publisher","award":["1R01DK132385\u201001"],"award-info":[{"award-number":["1R01DK132385\u201001"]}],"id":[{"id":"10.13039\/100000062","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Statistics in Medicine"],"published-print":{"date-parts":[[2024,12,10]]},"abstract":"<jats:title>ABSTRACT<\/jats:title><jats:p>Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data that are contaminated with measurement errors arising from imprecise instruments, sampling errors, or other sources. These errors can significantly distort the inherent data structure, resulting in erroneous clustering outcomes. In this article, we propose a simulation\u2010based approach designed to mitigate the impact of measurement errors. Our proposed method estimates the distribution of functional measurement errors through repeated measurements. Subsequently, the clustering algorithm is applied to simulated data generated from the conditional distribution of the unobserved true functional data given the observed contaminated functional data, accounting for the adjustments made to rectify measurement errors. We illustrate through simulations show that the proposed method has improved numerical performance than the naive methods that neglect such errors. Our proposed method was applied to a childhood obesity study, giving more reliable clustering results.<\/jats:p>","DOI":"10.1002\/sim.10238","type":"journal-article","created":{"date-parts":[[2024,10,16]],"date-time":"2024-10-16T05:26:11Z","timestamp":1729056371000},"page":"5344-5352","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Clustering Functional Data With Measurement Errors: A Simulation\u2010Based Approach"],"prefix":"10.1002","volume":"43","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3031-5033","authenticated-orcid":false,"given":"Tingyu","family":"Zhu","sequence":"first","affiliation":[{"name":"Department of Statistics Oregon State University  Corvallis Oregon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7764-8564","authenticated-orcid":false,"given":"Lan","family":"Xue","sequence":"additional","affiliation":[{"name":"Department of Statistics Oregon State University  Corvallis Oregon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1857-2416","authenticated-orcid":false,"given":"Carmen","family":"Tekwe","sequence":"additional","affiliation":[{"name":"Department of Epidemiology and Biostatistics Indiana University  Bloomington Indiana"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Keith","family":"Diaz","sequence":"additional","affiliation":[{"name":"Department of Medicine Columbia University Medical Center  New York New York"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mark","family":"Benden","sequence":"additional","affiliation":[{"name":"Department of Environmental &amp; Occupation Health Texas A&amp;M University  College Station Texas"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8066-1153","authenticated-orcid":false,"given":"Roger","family":"Zoh","sequence":"additional","affiliation":[{"name":"Department of Epidemiology and Biostatistics Indiana University  Bloomington Indiana"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2024,10,15]]},"reference":[{"key":"e_1_2_9_2_1","doi-asserted-by":"publisher","DOI":"10.1249\/MSS.0b013e3182399cf7"},{"key":"e_1_2_9_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00421-006-0307-5"},{"key":"e_1_2_9_4_1","doi-asserted-by":"publisher","DOI":"10.1038\/oby.2007.605"},{"key":"e_1_2_9_5_1","doi-asserted-by":"publisher","DOI":"10.1249\/MSS.0b013e318267b8f1"},{"key":"e_1_2_9_6_1","doi-asserted-by":"publisher","DOI":"10.1038\/oby.2008.279"},{"key":"e_1_2_9_7_1","doi-asserted-by":"publisher","DOI":"10.1198\/jasa.2009.tm08564"},{"key":"e_1_2_9_8_1","unstructured":"A.ChakrabortyandV. M.Panaretos \u201cRegression With Genuinely Functional Errors\u2010in\u2010Covariates \u201darXiv preprint arXiv:1712.04290 (2017)."},{"key":"e_1_2_9_9_1","doi-asserted-by":"publisher","DOI":"10.1111\/biom.12706"},{"key":"e_1_2_9_10_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.8179"},{"key":"e_1_2_9_11_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.9542"},{"key":"e_1_2_9_12_1","doi-asserted-by":"publisher","DOI":"10.1002\/cjs.11529"},{"key":"e_1_2_9_13_1","first-page":"2257","article-title":"Partially Functional Linear Quantile Regression With Measurement Errors","volume":"33","author":"Zhang M.","year":"2023","journal-title":"Statistica Sinica"},{"key":"e_1_2_9_14_1","doi-asserted-by":"publisher","DOI":"10.1198\/016214502760047131"},{"key":"e_1_2_9_15_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9469.00350"},{"key":"e_1_2_9_16_1","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/btg014"},{"key":"e_1_2_9_17_1","doi-asserted-by":"publisher","DOI":"10.1214\/08-AOAS206"},{"key":"e_1_2_9_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2013.04.001"},{"key":"e_1_2_9_19_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1541-0420.2011.01714.x"},{"key":"e_1_2_9_20_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2015.1016225"},{"key":"e_1_2_9_21_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9868.2011.01003.x"},{"key":"e_1_2_9_22_1","doi-asserted-by":"publisher","DOI":"10.1214\/17-EJS1389"},{"key":"e_1_2_9_23_1","doi-asserted-by":"publisher","DOI":"10.1198\/016214503000189"},{"key":"e_1_2_9_24_1","first-page":"2337","article-title":"Clustering in General Measurement Error Models","volume":"4","author":"Su Y.","year":"2018","journal-title":"Statistica Sinica"},{"key":"e_1_2_9_25_1","doi-asserted-by":"publisher","DOI":"10.1201\/9781420010138"},{"key":"e_1_2_9_26_1","doi-asserted-by":"publisher","DOI":"10.1214\/12-AOS1066"},{"key":"e_1_2_9_27_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1971.10482356"},{"key":"e_1_2_9_28_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01908075"},{"key":"e_1_2_9_29_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1469-8137.1912.tb05611.x"},{"key":"e_1_2_9_30_1","doi-asserted-by":"publisher","DOI":"10.3390\/ijerph110909361"}],"container-title":["Statistics in Medicine"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/sim.10238","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,12]],"date-time":"2025-04-12T21:04:30Z","timestamp":1744491870000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/sim.10238"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,15]]},"references-count":29,"journal-issue":{"issue":"28","published-print":{"date-parts":[[2024,12,10]]}},"alternative-id":["10.1002\/sim.10238"],"URL":"https:\/\/doi.org\/10.1002\/sim.10238","archive":["Portico"],"relation":{},"ISSN":["0277-6715","1097-0258"],"issn-type":[{"value":"0277-6715","type":"print"},{"value":"1097-0258","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,10,15]]},"assertion":[{"value":"2023-11-29","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-09-19","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-10-15","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}