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dc.contributor.authorShieh, Gwowenen_US
dc.contributor.authorJan, Show-Lien_US
dc.date.accessioned2014-12-08T15:22:13Z-
dc.date.available2014-12-08T15:22:13Z-
dc.date.issued2012-03-01en_US
dc.identifier.issn1554-351Xen_US
dc.identifier.urihttp://dx.doi.org/10.3758/s13428-011-0139-zen_US
dc.identifier.urihttp://hdl.handle.net/11536/15729-
dc.description.abstractWelch's (Biometrika 29: 350-362, 1938) procedure has emerged as a robust alternative to the Student's t test for comparing the means of two normal populations with unknown and possibly unequal variances. To facilitate the advocated statistical practice of confidence intervals and further improve the potential applicability of Welch's procedure, in the present article, we consider exact approaches to optimize sample size determinations for precise interval estimation of the difference between two means under various allocation and cost considerations. The desired precision of a confidence interval is assessed with respect to the control of expected half-width, and to the assurance probability of interval half-width within a designated value. Furthermore, the design schemes in terms of participant allocation and cost constraints include (a) giving the ratio of group sizes, (b) specifying one sample size, (c) attaining maximum precision performance for a fixed cost, and (d) meeting a specified precision level for the least cost. The proposed methods provide useful alternatives to the conventional sample size procedures. Also, the developed programs expand the degree of generality for the existing statistical software packages and can be accessed at brm.psychonomic-journals.org/content/ supplemental.en_US
dc.language.isoen_USen_US
dc.subjectBehrens-Fisher problemen_US
dc.subjectPrecisionen_US
dc.subjectStudy designen_US
dc.titleOptimal sample sizes for precise interval estimation of Welch's procedure under various allocation and cost considerationsen_US
dc.typeArticleen_US
dc.identifier.doi10.3758/s13428-011-0139-zen_US
dc.identifier.journalBEHAVIOR RESEARCH METHODSen_US
dc.citation.volume44en_US
dc.citation.issue1en_US
dc.citation.spage202en_US
dc.citation.epage212en_US
dc.contributor.department管理科學系zh_TW
dc.contributor.departmentDepartment of Management Scienceen_US
dc.identifier.wosnumberWOS:000300317400015-
dc.citation.woscount3-
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