Multilevel bootstrap analysis with assumptions violated.

作者: Guillermo Vallejo Seco , Pablo Esteban Livacic Rojas , Manuel Ato García , María Paula Fernández García

DOI: 10.7334/PSICOTHEMA2013.58

关键词:

摘要: Background: Likelihood-based methods can work poorly when the residuals are not normally distributed and variances across clusters heterogeneous. Method: The performance of two estimation methods, non-parametric residual bootstrap (RB) restricted maximum likelihood (REML) for fitting multilevel models compared through simulation studies in terms bias, coverage, precision. Results: We find that (a) both produce unbiased estimates fixed parameters, but biased random although REML was more prone to give variance components; (b) RB method yields substantial reductions difference between nominal actual confidence interval with method; (c) square root mean squared error (RMSE) effects, performed slightly better than method. For components, however, did offer a systematic improvement over RMSE. Conclusions: It be stated is, general, superior violated assumptions.

参考文章(30)
Risto Lethonen, Multilevel Statistical Models (3rd ed.) Journal of the American Statistical Association. ,vol. 100, pp. 353- 354 ,(2005)
Rien van der Leeden, Erik Meijer, Frank M.T.A. Busing, Resampling Multilevel Models Springer, New York, NY. pp. 401- 433 ,(2008) , 10.1007/978-0-387-73186-5_11
Guillermo Vallejo Seco, Roser Bono Cabré, Ellián Tuero Herrero, Paula Fernández García, Jaime Arnau Gras, Selección de modelos anidados para datos longitudinales usando criterios de información y la estrategia de ajuste condicional Psicothema. ,vol. 22, pp. 323- 333 ,(2010)
T. A. B. Snijders, Roel J. Bosker, Multilevel analysis : an introduction to basic and advanced multilevel modeling Published in <b>2012</b> in Los Angeles London by SAGE. ,(2011)
José Carlos Núñez, Pedro Rosário, Guillermo Vallejo, Julio Antonio González-Pienda, A Longitudinal Assessment of the Effectiveness of a School-Based Mentoring Program in Middle School. Contemporary Educational Psychology. ,vol. 38, pp. 11- 21 ,(2013) , 10.1016/J.CEDPSYCH.2012.10.002
Guillermo Vallejo, Manuel Ato, Robust tests for multivariate factorial designs under heteroscedasticity. Behavior Research Methods. ,vol. 44, pp. 471- 489 ,(2012) , 10.3758/S13428-011-0152-2
Rafa M. Kasim, Stephen W. Raudenbush, Application of Gibbs Sampling to Nested Variance Components Models With Heterogeneous Within-Group Variance Journal of Educational and Behavioral Statistics. ,vol. 23, pp. 93- 116 ,(1998) , 10.3102/10769986023002093
Allen I. Fleishman, A method for simulating non-normal distributions. Psychometrika. ,vol. 43, pp. 521- 532 ,(1978) , 10.1007/BF02293811
Jichuan Wang, James R. Carpenter, Michael A. Kepler, Using SAS to conduct nonparametric residual bootstrap multilevel modeling with a small number of groups Computer Methods and Programs in Biomedicine. ,vol. 82, pp. 130- 143 ,(2006) , 10.1016/J.CMPB.2006.02.006