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We propose and study a score-type local test and an orthogonal series-based, omnibus goodness-of-fit test in this context, where no likelihood function is available or calculated\u2014i.e. all the tests are proposed in the semiparametric model framework. We demonstrate that our tests have optimality properties and computational advantages that are similar to those of the classical score tests in the parametric model framework. The test procedures are applicable to several semiparametric extensions of measurement error models, including when the measurement error distribution is estimated non-parametrically as well as for generalized partially linear models. The performance of the local score-type and omnibus goodness-of-fit tests is demonstrated through simulation studies and analysis of a nutrition data set.<\/jats:p>","DOI":"10.1111\/j.1467-9868.2010.00751.x","type":"journal-article","created":{"date-parts":[[2010,9,14]],"date-time":"2010-09-14T19:29:02Z","timestamp":1284492542000},"page":"81-98","source":"Crossref","is-referenced-by-count":21,"title":["Local and Omnibus Goodness-of-Fit Tests in Classical Measurement Error Models"],"prefix":"10.1093","volume":"73","author":[{"given":"Yanyuan","family":"Ma","sequence":"first","affiliation":[{"name":"Texas A&M University , College Station , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jeffrey D.","family":"Hart","sequence":"additional","affiliation":[{"name":"Texas A&M University , College Station , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ryan","family":"Janicki","sequence":"additional","affiliation":[{"name":"US Census Bureau , Suitland , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Raymond J.","family":"Carroll","sequence":"additional","affiliation":[{"name":"Texas A&M University , College Station , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2010,9,14]]},"reference":[{"key":"2023021401014637900_b1","doi-asserted-by":"crossref","DOI":"10.1201\/9781420010138","volume-title":"Measurement Error in Nonlinear Models: a Modern Perspective","author":"Carroll","year":"2006"},{"key":"2023021401014637900_b2","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1007\/s11253-005-0009-x","article-title":"A goodness-of-fit test in a polynomial errors-in-variables model","volume":"56","author":"Cheng","year":"2004","journal-title":"Ukr. 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