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We show that in this special case, the model can be decomposed into two independent sub-models which allow to derive closed-form expressions to evaluate the changes in the maximum likelihood estimates under several perturbation schemes. The performance of the new influence measures is illustrated by simulation studies and the analysis of a real dataset.<\/jats:p>","DOI":"10.1177\/0962280215615597","type":"journal-article","created":{"date-parts":[[2015,11,23]],"date-time":"2015-11-23T20:53:12Z","timestamp":1448311992000},"page":"2938-2950","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Influence diagnostics for count data under AB\u2013BA crossover trials"],"prefix":"10.1177","volume":"26","author":[{"given":"Chengcheng","family":"Hao","sequence":"first","affiliation":[{"name":"Department of Statistics, Stockholm University, Stockholm, Sweden"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dietrich","family":"von Rosen","sequence":"additional","affiliation":[{"name":"Department of Energy and Technology, Swedish University of Agricultural Sciences, Uppsala, Sweden"},{"name":"Department of Mathematics, Link\u00f6ping University, Link\u00f6ping, Sweden"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tatjana","family":"von Rosen","sequence":"additional","affiliation":[{"name":"Department of Statistics, Stockholm University, Stockholm, Sweden"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2015,11,23]]},"reference":[{"key":"bibr1-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1201\/9781420011340"},{"key":"bibr2-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1160-0"},{"key":"bibr3-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmva.2008.01.023"},{"key":"bibr4-0962280215615597","doi-asserted-by":"publisher","DOI":"10.2307\/3316088"},{"key":"bibr5-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.2013.810173"},{"key":"bibr6-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1111\/sjos.12090"},{"key":"bibr7-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1002\/sim.2706"},{"key":"bibr8-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1201\/9781420036091"},{"key":"bibr9-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1177\/0962280212455753"},{"key":"bibr10-0962280215615597","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1111\/j.2517-6161.1986.tb01398.x","volume":"48","author":"Cook RD","year":"1986","journal-title":"J R Stat Soc Ser B Stat Methodol"},{"key":"bibr11-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/76.4.741"},{"key":"bibr12-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1111\/j.0006-341X.2001.01166.x"},{"key":"bibr13-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1111\/j.1541-0420.2008.01179.x"},{"key":"bibr14-0962280215615597","volume-title":"SAS\/STAT\u00ae 13.2 User\u2019s Guide","author":"SAS Institute Inc","year":"2014"},{"key":"bibr15-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345513"},{"key":"bibr16-0962280215615597","doi-asserted-by":"publisher","DOI":"10.2307\/2530604"},{"key":"bibr17-0962280215615597","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9876.00108"}],"container-title":["Statistical Methods in Medical Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0962280215615597","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0962280215615597","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0962280215615597","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T23:48:28Z","timestamp":1777679308000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0962280215615597"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,23]]},"references-count":17,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2017,12]]}},"alternative-id":["10.1177\/0962280215615597"],"URL":"https:\/\/doi.org\/10.1177\/0962280215615597","relation":{},"ISSN":["0962-2802","1477-0334"],"issn-type":[{"value":"0962-2802","type":"print"},{"value":"1477-0334","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,11,23]]}}}