Publication:
A direct method for obtaining approximate standard error and confidence interval of maximal reliability for composites with congeneric measures
A direct method for obtaining approximate standard error and confidence interval of maximal reliability for composites with congeneric measures
dc.contributor.author | Raykov, T | en_US |
dc.contributor.author | Penev, Spiridon | en_US |
dc.date.accessioned | 2021-11-25T13:41:08Z | |
dc.date.available | 2021-11-25T13:41:08Z | |
dc.date.issued | 2006 | en_US |
dc.description.abstract | Unlike a substantial part of reliability literature in the past, this article is concerned with weighted combinations of a given set of congeneric measures with uncorrelated errors. The relationship between maximal coefficient alpha and maximal reliability for such composites is initially dealt with, and it is shown that the former is a lower bound of the latter. A direct method for obtaining approximate standard error and confidence interval for maximal reliability is then outlined. The procedure is based on a second-order Taylor series approximation and is readily and widely applicable in empirical research via use of covariance structure modeling. The described method is illustrated with a numerical example. | en_US |
dc.identifier.issn | 0027-3171 | en_US |
dc.identifier.uri | http://hdl.handle.net/1959.4/40275 | |
dc.language | English | |
dc.language.iso | EN | en_US |
dc.rights | CC BY-NC-ND 3.0 | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/au/ | en_US |
dc.source | Legacy MARC | en_US |
dc.subject.other | Confidence interval. | en_US |
dc.subject.other | Congeneric measures. | en_US |
dc.subject.other | Reliability literature. | en_US |
dc.subject.other | Maximal reliability. | en_US |
dc.title | A direct method for obtaining approximate standard error and confidence interval of maximal reliability for composites with congeneric measures | en_US |
dc.type | Journal Article | en |
dcterms.accessRights | metadata only access | |
dspace.entity.type | Publication | en_US |
unsw.accessRights.uri | http://purl.org/coar/access_right/c_14cb | |
unsw.identifier.doiPublisher | http://dx.doi.org/10.1207/s15327906mbr4101_2 | en_US |
unsw.relation.faculty | Science | |
unsw.relation.ispartofissue | 1 | en_US |
unsw.relation.ispartofjournal | Multivariate Behavioral Research | en_US |
unsw.relation.ispartofpagefrompageto | 15-28 | en_US |
unsw.relation.ispartofvolume | 41 | en_US |
unsw.relation.originalPublicationAffiliation | Raykov, T, Mathematics & Statistics, Faculty of Science, UNSW | en_US |
unsw.relation.originalPublicationAffiliation | Penev, Spiridon, Mathematics & Statistics, Faculty of Science, UNSW | en_US |
unsw.relation.school | School of Mathematics & Statistics | * |