ML Estimation from Binomial Data with Misclassifications

Author(s):  
Gerhard Schuster
Keyword(s):  
Author(s):  
Russell Cheng

This book relies on maximum likelihood (ML) estimation of parameters. Asymptotic theory assumes regularity conditions hold when the ML estimator is consistent. Typically an additional third derivative condition is assumed to ensure that the ML estimator is also asymptotically normally distributed. Standard asymptotic results that then hold are summarized in this chapter; for example, the asymptotic variance of the ML estimator is then given by the Fisher information formula, and the log-likelihood ratio, the Wald and the score statistics for testing the statistical significance of parameter estimates are all asymptotically equivalent. Also, the useful profile log-likelihood then behaves exactly as a standard log-likelihood only in a parameter space of just one dimension. Further, the model can be reparametrized to make it locally orthogonal in the neighbourhood of the true parameter value. The large exponential family of models is briefly reviewed where a unified set of regular conditions can be obtained.


2005 ◽  
Vol 21 (1) ◽  
pp. 67-76 ◽  
Author(s):  
Anton Aluja ◽  
Angel Blanch ◽  
Luis F. García

Abstract. The Maslach Burnout Inventory (MBI) is an instrument which has been used worldwide to assess occupational stress in human service professions. While the MBI has been used in school settings, an inventory specifically oriented to measure burnout in teachers was developed (MBI-Form Ed; Schwab, in Maslach & Jackson, 1986 ). A Catalan version of the MBI-Form Ed was administered to 631 elementary school teachers. Several models, including those posited by some studies using the English language MBI-Form Ed, were analyzed in order to test their cross-cultural validity. Confirmatory factor analyses (CFAs) were used to fit all models by maximum likelihood (ML) and asymptotically distribution-free (ADF) estimation methods to test the hypothesis that incorrect use of the ML estimation method could be the reason for model misfit in previous studies. Results show that there are no differences due to the estimation method and support the three-factor structure. Furthermore, a shortened three-factor model of 17 items shows a better fit and similar reliability, and its use seems plausible in the research and psychological evaluation of teachers' burnout in both English and Catalan language settings.


2011 ◽  
Author(s):  
Helmut Waldl ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
Zacharias Anastassi

2007 ◽  
Author(s):  
Luo zhiyong ◽  
He Jia-Zhou
Keyword(s):  

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