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Articles

The Power to Detect and Predict Individual Differences in Intra-Individual Variability Using the Mixed-Effects Location-Scale Model

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References

  • Aitkin, M. (1987). Modelling variance heterogeneity in normal regression using GLIM. Journal of the Royal Statistical Society, 36(3), 332–339. doi:10.2307/2347792
  • Cleveland, W., Denby, L., & Liu, C. (2000). Random location and scale effects: Model building methods for a general class of models. Computing Science and Statistics, 32, 3–10.
  • Cleveland, W. S., Devlin, S. J., & Grosse, E. (1988). Regression by local fitting: Methods, properties, and computational algorithms. Journal of Econometrics, 37(1), 87–114. doi:10.1016/0304-4076(88)90077-2
  • Davidian, M., & Giltinan, D. M. (1995). Nonlinear models for repeated measures data. Boca Raton, FL: CRC Press.
  • Dixon, R. A., Lentz, T. L., Garrett, D. D., MacDonald, S. W. S., Strauss, E., & Hultsch, D. F. (2007). Neurocognitive markers of cognitive impairment: Exploring the roles of speed and inconsistency. Neuropsychology, 21, 381–399. doi:10.1037/0894-4105.21.3.381
  • Dunton, G. F., Huh, J., Leventhal, A. M., Riggs, N., Hedeker, D., Spruijt-Metz, D., & Pentz, M. A. (2013). Momentary assessment of affect, physical feeling states, and physical activity in children. Health Psychology, 33(3), 255–263. doi:10.1037/a0032640
  • Enders, C. K. (2010). Applied missing data analysis. New York: The Guilford Press.
  • Foulley, J. L., & Quaas, R. L. (1995). Heterogeneous variances in Gaussian linear mixed models. Genetics Selection Evolution, 27, 211–228. doi:10.1186/1297-9686-27-3-211
  • Gallagher, P., Nilsson, J., Finkelmeyer, A., Goshawk, M., Macritchie, K. A., Lloyd, A. J., … Watson, S. (2015). Neurocognitive intra-individual variability in mood disorders: Effects on attentional response time distributions. Psychological Medicine, 45(14), 2985–2997. doi:10.1017/S0033291715000926
  • Harvey, A. C. (1976). Estimating regression models with multiplicative heteroscedasticity. Econometrica, 44(3), 461–465. doi:10.2307/1913974
  • Hedeker, D., & Mermelstein, R. J. (2007). Mixed-effects regression models with heterogeneous variance: Analyzing Ecological Momentary Assessment (EMA) data. In T. D. Little, J. A. Bovaird, & N. A. Card (Eds.), Modeling contextual effects in longitudinal studies. (pp. 183–206). New York: Psychology Press.
  • Hedeker, D., Mermelstein, R. J., Berbaum, M. L., & Campbell, R. T. (2009). Modeling mood variation associated with smoking: An application of heterogeneous mixed-effects model for analysis of ecological momentary assessment (EMA) data. Addiction, 104(2), 297–307. doi:10.1111/j.1360-0443.2008.02435.x
  • Hedeker, D., Mermelstein, R. J., & Demirtas, H. (2008). An application of a mixed-effects location scale model for analysis of ecological momentary assessment (EMA) data. Biometrics, 64(2), 627–634. doi:10.1111/j.1541-0420.2007.00924.x
  • Hedeker, D., & Nordgren, R. (2013). MIXREGLS: A program for mixed-effects location scale analysis. Journal of Statistical Software, 52(12), 1–38. doi:10.18637/jss.v052.i12
  • Hedeker, D., Mermelstein, R. J., & Demirtas, H. (2012). Modeling between-subject and within-subject variances in ecological momentary assessment data using mixed-effects location scale models. Statistics in Medicine, 31(27), 3328--3336. doi: 10.1002/sim.5338
  • Hoffman, L. (2007). Multilevel models for examining individual differences in within-person variation and covariation over time. Multivariate Behavioral Research, 42(4), 609–629. doi:10.1080/00273170701710072
  • Hoffman, L. (2015). Longitudinal analysis: Modeling within-person fluctuation and change. New York: Routledge.
  • Hultsch, D. F., MacDonald, S. W., Hunter, M. A., Levy-Bencheton, J., & Strauss, E. (2000). Intraindividual variability in cognitive performance in older adults: Comparison of adults with mild dementia, adults with arthritis, and healthy adults. Neuropsychology, 14(4), 588–598. doi: 10.1037/0894-4105.14.4.588
  • Hultsch, D. F., Strauss, E., Hunter, M. A., & MacDonald, S. W. (2008). Intraindividual variability, cognition, and aging. In F. I. M. Craik & T. A. Salthouse (Eds.), The handbook of aging and cognition (pp. 491–556). New York: Psychology Press.
  • Kupar, K., Li, X., Blood, E. A., & Hedeker, D. (2015). Bayesian mixed-effects location and scale models for multivariate longitudinal outcomes: An application to ecological momentary assessment data. Statistics in Medicine, 34(4), 630–651. doi:10.1002/sim.6345
  • Leckie, G., French, R., Charlton, C., & Browne, W. (2014). Modeling heterogeneous variance-covariance components in two-level models. Journal of Educational and Behavioral Statistics, 39(5), 307–332. doi:10.3102/1076998614546494
  • Lee, Y., & Noh, M. (2012). Modelling random effect variance with double hierarchical generalized linear models. Statistical Modelling, 12(6), 487–502. doi:10.1177/1471082X12460132
  • Littell, R. C., Pedergast, J., & Natarajan, R. (2000). Modelling covariance structure in the analysis of repeated measures data. Statistics in Medicine, 19(13), 1793–1819. doi:10.1002/1097-0258(20000715)19:13<1793::AID-SIM482>3.0.CO;2-Q
  • MacDonald, S. W., Hultsch, D. F., & Dixon, R. A. (2003). Performance variability is related to change in cognition: Evidence from the Victoria Longitudinal Study. Psychology and Aging, 18(3), 510–523. doi:10.1037/0882-7974.18.3.510
  • Ong, J. C., Hedeker, D., Wyatt, J. K., & Manber, R. (2016). Examining the variability of sleep patterns during treatment for chronic insomnia: Application of a location-scale mixed model. Journal of Clinical Sleep Medicine, 12(6), 797–804. doi:10.5664/jcsm.5872
  • Pinheiro, J. C., & Bates, D. M. (1995). Approximations to the log-likelihood function in the nonlinear mixed-effects model. Journal of Computational and Graphical Statistics, 4(1), 12–35. doi:10.2307/1390625
  • Rast, P., Hofer, S. M., & Sparks, C. (2012). Modeling individual differences in within-person variation of negative and positive affect in a mixed effects location scale model using BUGS/JAGS. Multivariate Behavioral Research, 47(2), 177–200. doi:10.1080/00273171.2012.658328
  • Rast, P., & Zimprich, D. (2011). Modeling within-person variance in reaction time data of older adults. The Journal of Gerontopsychology and Geriatric Psychiatry, 24(4), 169–176. doi:10.1024/1662-9647/a000045
  • Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods (2nd Ed.). Thousand Oaks, CA: Sage.
  • Schneider, S., Junghaenel, D. U., Keefe, F. J., Schwartz, J. E., Stone, A. A., & Broderick, J. E. (2012). Individual differences in the day-to-day variability of pain, fatigue, and well-being in patients with rheumatic disease: Associations of psychological variables. Pain, 153(4), 813–822. doi:10.1016/j.pain/2012.01.001
  • Snijders, T. A. B., & Bosker, R. J. (1994). Modeled variance in two-level models. Sociological Methods Research, 22(3), 342–363. doi:10.1177/0049124194022003004
  • Stram, D. O., & Lee, J. W. (1994). Variance components testing in the longitudinal mixed effects model. Biometrics, 50(4), 1171–1177. doi:10.2307/2533455
  • Walters, R. W. (2015). Mixed-effects location-scale models for conditionally normally distributed repeated-measures data (Doctoral dissertation). Retrieved from http://digitalcommons.unl.edu/psychdiss/75
  • Wang, L., Hamaker, E., & Bergeman, C. S. (2012). Investigating inter-individual differences in short-term intra-individual variability. Psychological Methods, 17(4), 567–581. doi:10.1037/a0029317
  • Watts, A., Walters, R. W., Hoffman, L., & Templin, J. (2016). Intra-individual variability of physical activity in older adults with and without mild Alzheimer's disease. PLoS ONE, 11(4), e0153898. doi:10.1371/journal.pone.0153898

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