{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T15:53:55Z","timestamp":1649174035209},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","funder":[{"name":"Liaoning Province Doctoral Startup Fund","award":["11401393,11426157,11571069,20131107"],"award-info":[{"award-number":["11401393,11426157,11571069,20131107"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Patt. Recogn. Artif. Intell."],"published-print":{"date-parts":[[2016,9]]},"abstract":"<jats:p> Peddada et\u00a0al. (Gene selected and clustering for time-course and close-response microarray experiments using order-restricted inference, Bioinformatics 19 (2003): 834\u2013841) proposed a new method for selecting and clustering genes according to their time-course or dose-response profiles. Their method necessitates the assumption of a constant variance through time or among dosages. This homoscedasticity assumption is, however, seldom satisfied in practice. In this paper, via the application of Shi\u2019s algorithms and a modified bootstrap procedure (N.\u00a0Z.\u00a0Shi, Maximum likelihood estimation of means and variances from normal populations under simulations order restrictions (J. Multivariate Anal. 50 (1994) 282\u2013293), we proposed a generalized order-restricted inference method which releases the homoscedasticity restriction. Simulation results show that procedures considered in this paper as well as those by Peddada et\u00a0al. (Gene selected and clustering for time-course and close-response microarray experiments using order-restricted inference, Bioinformatics 19 (2003) 834\u2013841) are generally comparable in terms of Type I error rate while our proposed algorithms are usually more powerful. <\/jats:p>","DOI":"10.1142\/s0218001416500191","type":"journal-article","created":{"date-parts":[[2016,4,4]],"date-time":"2016-04-04T23:18:44Z","timestamp":1459811924000},"page":"1650019","source":"Crossref","is-referenced-by-count":0,"title":["An Inference Methodology for Selecting and Clustering Genes Based on Likelihood Ratio Test"],"prefix":"10.1142","volume":"30","author":[{"given":"Ruiyin","family":"Liu","sequence":"first","affiliation":[{"name":"College of Mathematics and System Science, Shenyang Normal University, Shenyang 110034, P. R. China"},{"name":"Mathematics School and Institute of Jilin University, Jilin University, Changchun 130012, Jilin, P. R. China"}]},{"given":"Jian","family":"Tao","sequence":"additional","affiliation":[{"name":"Key Laboratory of Applied Statistics of MOE, School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, P. R. China"}]},{"given":"Dehui","family":"Wang","sequence":"additional","affiliation":[{"name":"Mathematics School and Institute of Jilin University, Jilin University, Changchun 130012, Jilin, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2016,7,17]]},"reference":[{"key":"S0218001416500191BIB001","volume-title":"Statistical Inference under Order Restrictions","author":"Barlow R. E.","year":"1972"},{"key":"S0218001416500191BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/TCBB.2011.152"},{"key":"S0218001416500191BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2011.08.032"},{"key":"S0218001416500191BIB004","first-page":"12151229","volume":"16","author":"Lobenhofer E.","year":"2002","journal-title":"Mol. 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