{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T10:16:22Z","timestamp":1777889782365,"version":"3.51.4"},"reference-count":7,"publisher":"SAGE Publications","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["MAS"],"published-print":{"date-parts":[[2021,7,2]]},"abstract":"<jats:p>Through simulations, it was shown that either in balanced \u201cone-way\u201d random designs or in unbalanced \u201cone-way\u201d random designs, Sub-D estimates are in general more accurate than those provided by Anova-based estimators. Moreover, the Sub-D estimates exhibit less dispersion magnitude. Such estimates reveal to be also slightly more accurate than those provide by REML-based estimator, although this latter one presented dispersion with slightly less magnitude, which, indeed, is not bigger than 0.0261. In order to have somehow a robust tool which will allow us to infer over Sub-D\u2019s efficiency in \u201cone-way\u201d random designs, this paper aims to deduce and discuss its MSE.<\/jats:p>","DOI":"10.3233\/mas-210524","type":"journal-article","created":{"date-parts":[[2021,7,7]],"date-time":"2021-07-07T05:29:14Z","timestamp":1625635754000},"page":"117-123","source":"Crossref","is-referenced-by-count":0,"title":["On the Sub-D\u2019s mean square error on \u201cone-way\u201d random designs"],"prefix":"10.1177","volume":"16","author":[{"given":"Adilson","family":"Silva","sequence":"first","affiliation":[{"name":", Praia, Cape Verde"}]},{"given":"Miguel","family":"Fonseca","sequence":"additional","affiliation":[{"name":"CMA, FCT, UNL and Departamento de Matem\u00e1tica, FCT, UNL, Lisbon, Portugal"}]}],"member":"179","reference":[{"key":"10.3233\/MAS-210524_ref1","first-page":"1","article-title":"Designs and estimators for variance components","author":"Anderson","year":"1975","journal-title":"Statistical Design and linear Model"},{"key":"10.3233\/MAS-210524_ref2","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1080\/00401706.1967.10490500","article-title":"Comparisons of designs and estimation procedures for estimating parameters in a two-stages nested process","author":"Anderson","year":"1967","journal-title":"Technometrics"},{"key":"10.3233\/MAS-210524_ref3","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/j.jmva.2017.07.002","article-title":"Estimation and incommutativity in mixed models","volume":"161","author":"Ferreira","year":"2017","journal-title":"Journal of Multivariate Analysis"},{"key":"10.3233\/MAS-210524_ref4","doi-asserted-by":"crossref","first-page":"1383","DOI":"10.1080\/01621459.1969.10501064","article-title":"Mean square efficiency of estimators of variance components","volume":"64","author":"Klotz","year":"2012","journal-title":"Journal of the American Statistical Association"},{"key":"10.3233\/MAS-210524_ref5","unstructured":"Schott, J. (1997). Matrix analysis for statistics. John Wiley & Sons, New York."},{"key":"10.3233\/MAS-210524_ref6","doi-asserted-by":"crossref","unstructured":"Silva, A. (2017). Variance components estimation in mixed linear models. Ph.D Thesis.","DOI":"10.1007\/978-3-319-49984-0_21"},{"issue":"4","key":"10.3233\/MAS-210524_ref7","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1504\/IJMDA.2018.096051","article-title":"The method Sub-D for variance componentes estimation in random one-way designs","volume":"1","author":"Silva","year":"2018","journal-title":"International Journal of Multivariate Data Analysis"}],"container-title":["Model Assisted Statistics and Applications"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/MAS-210524","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T05:19:29Z","timestamp":1777612769000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/MAS-210524"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,2]]},"references-count":7,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.3233\/mas-210524","relation":{},"ISSN":["1574-1699","1875-9068"],"issn-type":[{"value":"1574-1699","type":"print"},{"value":"1875-9068","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,7,2]]}}}