89
Views
0
CrossRef citations to date
0
Altmetric
Research Articles

Correcting for Sampling Error in between-Cluster Effects: An Empirical Bayes Cluster-Mean Approach with Finite Population CorrectionsOpen Materials

ORCID Icon, ORCID Icon & ORCID Icon

References

  • Antonakis, J., Bastardoz, N., & Rönkkö, M. (2021). On ignoring the random effects assumption in multilevel models: Review, critique, and recommendations. Organizational Research Methods, 24(2), 443–483. http://doi.org/10.1177/1094428119877457
  • Asparouhov, T., & Muthén, B. (2019). Latent variable centering of predictors and mediators in multilevel and time-series models. Structural Equation Modeling: A Multidisciplinary Journal, 26(1), 119–142. https://doi.org/10.1080/10705511.2018.1511375
  • Aydin, B., Leite, W. L., & Algina, J. (2016). The effects of including observed means or latent means as covariates in multilevel models for cluster randomized trials. Educational and Psychological Measurement, 76(5), 803–823. http://doi.org/10.1177/0013164415618705
  • Bates, D., Mächler, M., Bolker, B., & Walker, S. (2015). Fitting linear mixed-effects models using lme4. Journal of Statistical Software, 67(1), 1–48. https://doi.org/10.18637/jss.v067.i01
  • Brincks, A. M., Enders, C. K., Llabre, M. M., Bulotsky-Shearer, R. J., Prado, G., & Feaster, D. J. (2017). Centering predictor variables in three-level contextual models. Multivariate Behavioral Research, 52(2), 149–163. https://doi.org/10.1080/00273171.2016.1256753
  • Chalmers, R. P., & Adkins, M. C. (2020). Writing effective and reliable Monte Carlo simulations with the SimDesign package. The Quantitative Methods for Psychology, 16(4), 248–280. https://doi.org/10.20982/tqmp.16.4.p248
  • Chambers, J. M., Cleveland, W. S., Kleiner, B., & Tukey, P. A. (2018). Graphical methods for data analysis. Chapman and Hall/CRC. https://doi.org/10.1201/9781351072304
  • Cheung, M. W.-L. (2013). Implementing restricted maximum likelihood estimation in structural equation models. Structural Equation Modeling: A Multidisciplinary Journal, 20(1), 157–167. https://doi.org/10.1080/10705511.2013.742404
  • Chung, Y., Rabe-Hesketh, S., Dorie, V., Gelman, A., & Liu, J. (2013). A Nondegenerate penalized likelihood estimator for variance parameters in multilevel models. Psychometrika, 78(4), 685–709. https://doi.org/10.1007/s11336-013-9328-2
  • Cole, D. A., & Preacher, K. J. (2014). Manifest variable path analysis: Potentially serious and misleading consequences due to uncorrected measurement error. Psychological Methods, 19(2), 300–315. http://doi.org/10.1037/a0033805
  • Croon, M. A., & van Veldhoven, M. J. P. M. (2007). Predicting group-level outcome variables from variables measured at the individual level: A latent variable multilevel model. Psychological Methods, 12(1), 45–57. https://doi.org/10.1037/1082-989X.12.1.45
  • Depaoli, S., & Clifton, J. P. (2015). A Bayesian approach to multilevel structural equation modeling with continuous and dichotomous outcomes. Structural Equation Modeling: A Multidisciplinary Journal, 22(3), 327–351. Retrieved June 14, 2021, from https://doi.org/10.1080/10705511.2014.937849
  • Enders, C. K., & Tofighi, D. (2007). Centering predictor variables in cross-sectional multilevel models: A new look at an old issue. Psychological Methods, 12(2), 121–138. http://doi.org/10.1037/1082-989X.12.2.121
  • Gottfredson, N. C. (2019). A straightforward approach for coping with unreliability of person means when parsing within-person and between-person effects in longitudinal studies. Addictive Behaviors, 94, 156–161. https://linkinghub.elsevier.com/retrieve/pii/S0306460318311018
  • Grilli, L., & Rampichini, C. (2011). The role of sample cluster means in multilevel models: A view on endogeneity and measurement error issues. Methodology, 7(4), 121–133. Retrieved June 14, 2021, from https://doi.org/10.1027/1614-2241/a000030
  • Heck, R. H., & Thomas, S. L. (2020). An introduction to multilevel modeling techniques: MLM and SEM approaches. (4th ed.). Routledge.
  • Hedges, L. V., & Hedberg, E. C. (2007). Intraclass correlation values for planning group-randomized trials in education. Educational Evaluation and Policy Analysis, 29(1), 60–87. Retrieved July 15, 2020, from http://doi.org/10.3102/0162373707299706
  • Hoffman, L. (2019). On the interpretation of parameters in multivariate multilevel models across different combinations of model specification and estimation. Advances in Methods and Practices in Psychological Science, 2(3), 288–311. Retrieved September 21, 2020, from http://doi.org/10.1177/2515245919842770
  • Hox, J. J., Moerbeek, M., & van de Schoot, R. (2018). Multilevel analysis: Techniques and applications (3rd ed.). Routledge.
  • Kelcey, B., Cox, K., & Dong, N. (2021). Croon’s bias-corrected factor score path analysis for small- to moderate-sample multilevel structural equation models. Organizational Research Methods, 24(1), 55–77. Retrieved May 23, 2021, from http://doi.org/10.1177/1094428119879758
  • Kenward, M. G., & Roger, J. H. (1997). Small sample inference for fixed effects from restricted maximum likelihood. Biometrics, 53(3), 983–997. https://doi.org/10.2307/2533558
  • Kreft, I. G. G., de Leeuw, J., & Aiken, L. S. (1995). The effect of different forms of centering in hierarchical linear models. Multivariate Behavioral Research, 30(1), 1–21. Retrieved April 27, 2021, from https://doi.org/10.1207/s15327906mbr3001_1
  • Kwok, O-m., West, S. G., & Green, S. B. (2007). The impact of misspecifying the within-subject covariance structure in multiwave longitudinal multilevel models: A monte carlo study. Multivariate Behavioral Research, 42(3), 557–592. Retrieved April 27, 2021, from https://doi.org/10.1080/00273170701540537
  • Lai, M. H. C. (2019). Correcting fixed effect standard errors when a crossed random effect was ignored for balanced and unbalanced designs. Journal of Educational and Behavioral Statistics, 44(4), 448–472. Retrieved May 23, 2021, from http://doi.org/10.3102/1076998619843168
  • Lai, M. H. C. (2021). Bootstrap confidence intervals for multilevel standardized effect size. Multivariate Behavioral Research, 56(4), 558–578. Retrieved June, 19, 2020, from https://doi.org/10.1080/00273171.2020.1746902
  • Lai, M. H. C. (2021). Composite reliability of multilevel data: It’s about observed scores and construct meanings. Psychological Methods, 26(1), 90–102. Retrieved June 25, 2021, from http://doi.org/10.1037/met0000287
  • Lai, M. H. C., Kwok, O-m., Hsiao, Y.-Y., & Cao, Q. (2018). Finite population correction for two-level hierarchical linear models. Psychological Methods, 23(1), 94–112. Retrieved September 21, 2020, from http://doi.org/10.1037/met0000137
  • Lüdtke, O., Marsh, H. W., Robitzsch, A., & Trautwein, U. (2011). A 2 × 2 taxonomy of multilevel latent contextual models: Accuracy–bias trade-offs in full and partial error correction models. Psychological Methods, 16(4), 444–467. Retrieved September 21, 2020, from http://doi.org/10.1037/a0024376
  • Lüdtke, O., Marsh, H. W., Robitzsch, A., Trautwein, U., Asparouhov, T., & Muthén, B. (2008). The multilevel latent covariate model: A new, more reliable approach to group-level effects in contextual studies. Psychological Methods, 13(3), 203–229. Retrieved September 21, 2020, from http://doi.org/10.1037/a0012869
  • Luke, D. A. (2020). Multilevel modeling (2nd ed.). SAGE Publishing.
  • Maas, C. J. M., & Hox, J. J. (2005). Sufficient sample sizes for multilevel modeling. Methodology, 1(3), 86–92. Retrieved May 23, 2021, from https://doi.org/10.1027/1614-2241.1.3.86
  • Marsh, H. W., & Parker, J. W. (1984). Determinants of student self-concept: Is it better to be a relatively large fish in a small pond even if you don’t learn to swim as well? Journal of Personality and Social Psychology, 47(1), 213–231. https://doi.org/10.1037//0022-3514.47.1.213
  • McCulloch, C. E., & Searle, S. R. (2001). Generalized, linear, and mixed models (1st ed.). Wiley. Retrieved September 21, 2020, from https://doi.org/10.1002/0471722073
  • Preacher, K. J., Zyphur, M. J., & Zhang, Z. (2010). A general multilevel SEM framework for assessing multilevel mediation. Psychological Methods, 15(3), 209–233. Retrieved February 11, 2022, from http://doi.org/10.1037/a0020141
  • Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods (2nd ed.). Sage Publ.
  • Shin, Y., & Raudenbush, S. W. (2010). A latent cluster-mean approach to the contextual effects model with missing data. Journal of Educational and Behavioral Statistics, 35(1), 26–53. Retrieved September 21, 2020, from http://doi.org/10.3102/1076998609345252
  • Snijders, T. A. B., & Bosker, R. J. (2012). Multilevel analysis: An introduction to basic and advanced multilevel modeling. SAGE.
  • van der Leeden, R., Meijer, E., & Busing, F. M. T. A. (2008). Resampling multilevel models. In J. de Leeuw & E. Meijer (Eds.), Handbook of multilevel analysis (pp. 401–433). Springer.
  • Wilcox, R. R. (2017). Introduction to robust estimation and hypothesis testing (4th ed.). Elsevier, Academic Press.
  • Zitzmann, S. (2018). A computationally more efficient and more accurate stepwise approach for correcting for sampling error and measurement error. Multivariate Behavioral Research, 53(5), 612–632. Retrieved June 25, 2021, from https://doi.org/10.1080/00273171.2018.1469086
  • Zitzmann, S., Lüdtke, O., Robitzsch, A., & Marsh, H. W. (2016). A Bayesian approach for estimating multilevel latent contextual models. Structural Equation Modeling: A Multidisciplinary Journal, 23(5), 661–679. Retrieved June 14, 2021, from https://doi.org/10.1080/10705511.2016.1207179

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.