caa a22 4500 606241981 CHVBK 20210128101316.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s11336-015-9451-3 doi (NATIONALLICENCE)springer-10.1007/s11336-015-9451-3 Quantifying Adventitious Error in a Covariance Structure as a Random Effect [Elektronische Daten] [Hao Wu, Michael Browne] We present an approach to quantifying errors in covariance structures in which adventitious error, identified as the process underlying the discrepancy between the population and the structured model, is explicitly modeled as a random effect with a distribution, and the dispersion parameter of this distribution to be estimated gives a measure of misspecification. Analytical properties of the resultant procedure are investigated and the measure of misspecification is found to be related to the root mean square error of approximation. An algorithm is developed for numerical implementation of the procedure. The consistency and asymptotic sampling distributions of the estimators are established under a new asymptotic paradigm and an assumption weaker than the standard Pitman drift assumption. Simulations validate the asymptotic sampling distributions and demonstrate the importance of accounting for the variations in the parameter estimates due to adventitious error. Two examples are also given as illustrations. The Psychometric Society, 2015 covariance structure nationallicence adventitious error nationallicence misspecification nationallicence Pitman drift nationallicence RMSEA nationallicence random effect nationallicence Wu Hao Department of Psychology, Boston College, 02467, Chestnut Hill, MA, USA aut Browne Michael The Ohio State University, Columbus, OH, USA aut Psychometrika Springer US; http://www.springer-ny.com 80/3(2015-09-01), 571-600 0033-3123 80:3<571 2015 80 11336 https://doi.org/10.1007/s11336-015-9451-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11336-015-9451-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wu Hao Department of Psychology, Boston College, 02467, Chestnut Hill, MA, USA aut NATIONALLICENCE 700 1- Browne Michael The Ohio State University, Columbus, OH, USA aut NATIONALLICENCE 773 0- Psychometrika Springer US; http://www.springer-ny.com 80/3(2015-09-01), 571-600 0033-3123 80:3<571 2015 80 11336