{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,21]],"date-time":"2026-01-21T09:07:45Z","timestamp":1768986465695,"version":"3.49.0"},"reference-count":28,"publisher":"Elsevier BV","issue":"7","license":[{"start":{"date-parts":[[2008,3,1]],"date-time":"2008-03-01T00:00:00Z","timestamp":1204329600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Statistics &amp; Data Analysis"],"published-print":{"date-parts":[[2008,3]]},"DOI":"10.1016\/j.csda.2007.10.022","type":"journal-article","created":{"date-parts":[[2007,11,26]],"date-time":"2007-11-26T21:27:10Z","timestamp":1196112430000},"page":"3283-3299","source":"Crossref","is-referenced-by-count":264,"title":["Size and power of tests for a zero random effect variance or polynomial regression in additive and linear mixed models"],"prefix":"10.1016","volume":"52","author":[{"given":"Fabian","family":"Scheipl","sequence":"first","affiliation":[]},{"given":"Sonja","family":"Greven","sequence":"additional","affiliation":[]},{"given":"Helmut","family":"K\u00fcchenhoff","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.csda.2007.10.022_b1","unstructured":"Bates, D., Sarkar, D., lme4: Linear mixed-effects models using S4 classes. R package version 0.995-2"},{"key":"10.1016\/j.csda.2007.10.022_b2","doi-asserted-by":"crossref","first-page":"794","DOI":"10.2307\/2669991","article-title":"Comment on Variable selection and function estimation in additive nonparametric regression using a data-based prior","volume":"94","author":"Brumback","year":"1999","journal-title":"J. Amer. Statist. Assoc."},{"issue":"2","key":"10.1016\/j.csda.2007.10.022_b3","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1093\/biomet\/89.2.251","article-title":"Degrees-of-freedom tests for smoothing splines","volume":"89","author":"Cantoni","year":"2002","journal-title":"Biometrika"},{"issue":"1","key":"10.1016\/j.csda.2007.10.022_b4","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1111\/j.1467-9868.2004.00438.x","article-title":"Likelihood ratio tests in linear mixed models with one variance component","volume":"66","author":"Crainiceanu","year":"2004","journal-title":"JRSS-B"},{"key":"10.1016\/j.csda.2007.10.022_b5","unstructured":"Crainiceanu, C., Ruppert, D., Claeskens, G., Wand, M., 2002. Likelihood ratio tests of polynomial regression against a general nonparametric alternative. Technical report, Department of Statistical Science, Cornell University. URL: http:\/\/www.orie.cornell.edu\/\u00a0davidr\/papers\/CRCW.ps"},{"issue":"1","key":"10.1016\/j.csda.2007.10.022_b6","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1093\/biomet\/92.1.91","article-title":"Exact likelihood ratio tests for penalised splines","volume":"92","author":"Crainiceanu","year":"2005","journal-title":"Biometrika"},{"issue":"2","key":"10.1016\/j.csda.2007.10.022_b7","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1214\/ss\/1038425655","article-title":"Flexible smoothing with B-splines and penalties","volume":"11","author":"Eilers","year":"1996","journal-title":"Statist. Sci."},{"key":"10.1016\/j.csda.2007.10.022_b8","first-page":"731","article-title":"Penalized structured additive regression for space\u2013time data: A Bayesian perspective","volume":"14","author":"Fahrmeir","year":"2004","journal-title":"Statist. Sinica"},{"issue":"4","key":"10.1016\/j.csda.2007.10.022_b9","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1080\/00949659608811740","article-title":"Approximate F-tests of multiple degree of freedom hypotheses in generalized least squares analyses of unbalanced split-plot experiments","volume":"54","author":"Fai","year":"1996","journal-title":"J. Stat. Comput. Simul."},{"issue":"4","key":"10.1016\/j.csda.2007.10.022_b10","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1214\/aos\/1176345526","article-title":"Pseudo maximum likelihood estimation: Theory and applications","volume":"9","author":"Gong","year":"1981","journal-title":"Ann. Statist."},{"key":"10.1016\/j.csda.2007.10.022_b11","doi-asserted-by":"crossref","unstructured":"Greven, S., Crainiceanu, C.M., K\u00fcchenhoff, H., Peters, A., 2007. Restricted likelihood ratio testing for zero variance components in linear mixed models, J. Comp. Graph. Statist. (in press)","DOI":"10.1198\/106186008X386599"},{"key":"10.1016\/j.csda.2007.10.022_b12","series-title":"Generalized Additive Models","author":"Hastie","year":"1990"},{"issue":"1","key":"10.1016\/j.csda.2007.10.022_b13","first-page":"1","article-title":"Geoadditive models","volume":"52","author":"Kammann","year":"2003","journal-title":"JRSS-C"},{"issue":"3","key":"10.1016\/j.csda.2007.10.022_b14","doi-asserted-by":"crossref","first-page":"983","DOI":"10.2307\/2533558","article-title":"Small sample inference for fixed effects from restricted maximum likelihood","volume":"53","author":"Kenward","year":"1997","journal-title":"Biometrics"},{"issue":"1","key":"10.1016\/j.csda.2007.10.022_b15","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1198\/1061860043010","article-title":"Bayesian P-splines","volume":"13","author":"Lang","year":"2004","journal-title":"J. Comp. Graph. Statist."},{"issue":"413","key":"10.1016\/j.csda.2007.10.022_b16","doi-asserted-by":"crossref","first-page":"179","DOI":"10.2307\/2289729","article-title":"Some alternatives to Wald\u2019s confidence interval and test","volume":"86","author":"Lin","year":"1991","journal-title":"J. Amer. Statist. Assoc."},{"issue":"1","key":"10.1016\/j.csda.2007.10.022_b17","doi-asserted-by":"crossref","first-page":"54","DOI":"10.2307\/2685241","article-title":"A unified approach to mixed linear models","volume":"45","author":"McLean","year":"1991","journal-title":"Amer. Statist."},{"issue":"4","key":"10.1016\/j.csda.2007.10.022_b18","doi-asserted-by":"crossref","first-page":"1560","DOI":"10.2307\/2533680","article-title":"Likelihood ratio testing of variance components in the linear mixed-effects model using restricted maximum likelihood","volume":"54","author":"Morrell","year":"1998","journal-title":"Biometrics"},{"key":"10.1016\/j.csda.2007.10.022_b19","series-title":"Mixed-Effects Models in S and S-Plus","author":"Pinheiro","year":"2000"},{"key":"10.1016\/j.csda.2007.10.022_b20","unstructured":"R Development Core Team, 2006. R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria. URL: http:\/\/www.R-project.org"},{"key":"10.1016\/j.csda.2007.10.022_b21","series-title":"Semiparametric Regression","author":"Ruppert","year":"2003"},{"key":"10.1016\/j.csda.2007.10.022_b22","series-title":"SAS\/STAT User\u2019s Guide, Version 9.1","year":"2003"},{"issue":"1","key":"10.1016\/j.csda.2007.10.022_b23","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1214\/aos\/1176346069","article-title":"Applying Wald\u2019s variance component test","volume":"11","author":"Seely","year":"1983","journal-title":"Ann. Statist."},{"issue":"398","key":"10.1016\/j.csda.2007.10.022_b24","doi-asserted-by":"crossref","first-page":"605","DOI":"10.2307\/2289471","article-title":"Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions","volume":"82","author":"Self","year":"1987","journal-title":"J. Amer. Statist. Assoc."},{"issue":"3","key":"10.1016\/j.csda.2007.10.022_b25","doi-asserted-by":"crossref","first-page":"1171","DOI":"10.2307\/2533455","article-title":"Variance components testing in the longitudinal mixed effects model","volume":"50","author":"Stram","year":"1994","journal-title":"Biometrics"},{"issue":"2","key":"10.1016\/j.csda.2007.10.022_b26","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1111\/1541-0420.00032","article-title":"The use of score tests for inference on variance components","volume":"59","author":"Verbeke","year":"2003","journal-title":"Biometrics"},{"issue":"4","key":"10.1016\/j.csda.2007.10.022_b27","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1214\/aoms\/1177730350","article-title":"A note on regression analysis","volume":"18","author":"Wald","year":"1947","journal-title":"Ann. Math. Stat."},{"key":"10.1016\/j.csda.2007.10.022_b28","series-title":"Generalized Additive Models","author":"Wood","year":"2006"}],"container-title":["Computational Statistics &amp; Data Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167947307004306?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167947307004306?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,8,29]],"date-time":"2021-08-29T02:44:07Z","timestamp":1630205047000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167947307004306"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,3]]},"references-count":28,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2008,3]]}},"alternative-id":["S0167947307004306"],"URL":"https:\/\/doi.org\/10.1016\/j.csda.2007.10.022","relation":{},"ISSN":["0167-9473"],"issn-type":[{"value":"0167-9473","type":"print"}],"subject":[],"published":{"date-parts":[[2008,3]]}}}