메뉴 건너뛰기




Volumn 11, Issue 9, 2020, Pages 1141-1152

Robustness of linear mixed-effects models to violations of distributional assumptions

Author keywords

biostatistics; correlated predictors; distributional assumptions; linear mixed effects models; missing random effects; statistical quantification of individual differences (SQuID)

Indexed keywords


EID: 85088038028     PISSN: None     EISSN: 2041210X     Source Type: Journal    
DOI: 10.1111/2041-210X.13434     Document Type: Article
Times cited : (625)

References (52)
  • 1
    • 85053361395 scopus 로고    scopus 로고
    • Statistical quantification of individual differences (SQuID): An educational and statistical tool for understanding multilevel phenotypic data in linear mixed models
    • Allegue, H., Araya-Ajoy, Y. G., Dingemanse, N. J., Dochtermann, N. A., Garamszegi, L. Z., Nakagawa, S., … Westneat, D. F. (2017). Statistical quantification of individual differences (SQuID): An educational and statistical tool for understanding multilevel phenotypic data in linear mixed models. Methods in Ecology and Evolution, 8, 257–267. https://doi.org/10.1111/2041-210X.12659
    • (2017) Methods in Ecology and Evolution , vol.8 , pp. 257-267
    • Allegue, H.1    Araya-Ajoy, Y.G.2    Dingemanse, N.J.3    Dochtermann, N.A.4    Garamszegi, L.Z.5    Nakagawa, S.6    Westneat, D.F.7
  • 2
    • 79961005150 scopus 로고    scopus 로고
    • A note on the indeterminacy of the random-effects distribution in hierarchical models
    • Alonso, A., Litiere, S., & Laenen, A. (2010). A note on the indeterminacy of the random-effects distribution in hierarchical models. The American Statistician, 64, 318–324. https://doi.org/10.1198/tast.2010.09244
    • (2010) The American Statistician , vol.64 , pp. 318-324
    • Alonso, A.1    Litiere, S.2    Laenen, A.3
  • 3
    • 84881568208 scopus 로고    scopus 로고
    • The effect of skewness and kurtosis on the robustness of linear mixed models
    • Arnau, J., Bendayan, R., Blanca, M. J., & Bono, R. (2013). The effect of skewness and kurtosis on the robustness of linear mixed models. Behavior Research Methods, 45, 873–879. https://doi.org/10.3758/s13428-012-0306-x
    • (2013) Behavior Research Methods , vol.45 , pp. 873-879
    • Arnau, J.1    Bendayan, R.2    Blanca, M.J.3    Bono, R.4
  • 8
    • 0001135785 scopus 로고
    • Sampling and Bayes inference in scientific modeling and robustness
    • Box, G. E. P. (1980). Sampling and Bayes inference in scientific modeling and robustness. Journal of the Royal Statistical Society A, 143, 383–430.
    • (1980) Journal of the Royal Statistical Society A , vol.143 , pp. 383-430
    • Box, G.E.P.1
  • 9
    • 0028980810 scopus 로고
    • Visualizing and quantifying natural selection
    • Brodie, E. D., Moore, A. J., & Janzen, F. J. (1995). Visualizing and quantifying natural selection. Trends in Ecology & Evolution, 10, 313–318. https://doi.org/10.1016/S0169-5347(00)89117-X
    • (1995) Trends in Ecology & Evolution , vol.10 , pp. 313-318
    • Brodie, E.D.1    Moore, A.J.2    Janzen, F.J.3
  • 11
    • 80955145754 scopus 로고    scopus 로고
    • Neglected biological patterns in the residuals: A behavioural ecologist's guide to co-operating with heteroscedasticity
    • Cleasby, I. R., & Nakagawa, S. (2011). Neglected biological patterns in the residuals: A behavioural ecologist's guide to co-operating with heteroscedasticity. Behavioral Ecology and Sociobiology, 65, 2361–2372. https://doi.org/10.1007/s00265-011-1254-7
    • (2011) Behavioral Ecology and Sociobiology , vol.65 , pp. 2361-2372
    • Cleasby, I.R.1    Nakagawa, S.2
  • 12
    • 84921497834 scopus 로고    scopus 로고
    • Quantifying the predictability of behaviour: Statistical approaches for the study of between-individual variation in the within-individual variance
    • Cleasby, I. R., Nakagawa, S., & Schielzeth, H. (2015). Quantifying the predictability of behaviour: Statistical approaches for the study of between-individual variation in the within-individual variance. Methods in Ecology and Evolution, 6, 27–37. https://doi.org/10.1111/2041-210X.12281
    • (2015) Methods in Ecology and Evolution , vol.6 , pp. 27-37
    • Cleasby, I.R.1    Nakagawa, S.2    Schielzeth, H.3
  • 13
    • 15544371183 scopus 로고    scopus 로고
    • Influence analysis for linear mixed-effects models
    • Demidenko, E., & Stukel, T. A. (2005). Influence analysis for linear mixed-effects models. Statistics in Medicine, 24, 893–909. https://doi.org/10.1002/sim.1974
    • (2005) Statistics in Medicine , vol.24 , pp. 893-909
    • Demidenko, E.1    Stukel, T.A.2
  • 14
    • 78650726296 scopus 로고    scopus 로고
    • Dealing with collinearity in behavioural and ecological data: Model averaging and the problems of measurement error
    • Freckleton, R. P. (2011). Dealing with collinearity in behavioural and ecological data: Model averaging and the problems of measurement error. Behavioral Ecology and Sociobiology, 65, 91–101. https://doi.org/10.1007/s00265-010-1045-6
    • (2011) Behavioral Ecology and Sociobiology , vol.65 , pp. 91-101
    • Freckleton, R.P.1
  • 16
    • 84939892061 scopus 로고    scopus 로고
    • Specification of random effects in multilevel models: A review
    • Grilli, L., & Rampichini, C. (2015). Specification of random effects in multilevel models: A review. Quality & Quantity, 49, 967–976. https://doi.org/10.1007/s11135-014-0060-5
    • (2015) Quality & Quantity , vol.49 , pp. 967-976
    • Grilli, L.1    Rampichini, C.2
  • 17
    • 80052832225 scopus 로고    scopus 로고
    • Avoiding bias in mixed model inference for fixed effects
    • Gurka, M. J., Edwards, L. J., & Muller, K. E. (2011). Avoiding bias in mixed model inference for fixed effects. Statistics in Medicine, 30, 2696–2707. https://doi.org/10.1002/sim.4293
    • (2011) Statistics in Medicine , vol.30 , pp. 2696-2707
    • Gurka, M.J.1    Edwards, L.J.2    Muller, K.E.3
  • 19
    • 85047520267 scopus 로고    scopus 로고
    • A brief introduction to mixed effects modelling and multi-model inference in ecology
    • Harrison, X. A., Donaldson, L., Correa-Cano, M. E., Evans, J., Fisher, D. N., Goodwin, C. E. D., … Inger, R. (2018). A brief introduction to mixed effects modelling and multi-model inference in ecology. PeerJ, 6, e4794. https://doi.org/10.7717/peerj.4794
    • (2018) PeerJ , vol.6
    • Harrison, X.A.1    Donaldson, L.2    Correa-Cano, M.E.3    Evans, J.4    Fisher, D.N.5    Goodwin, C.E.D.6    Inger, R.7
  • 20
    • 0000024102 scopus 로고    scopus 로고
    • Misspecified maximum likelihood estimates and generalised linear mixed models
    • Heagerty, P. J., & Kurland, B. F. (2001). Misspecified maximum likelihood estimates and generalised linear mixed models. Biometrika, 88, 973–985. https://doi.org/10.1093/biomet/88.4.973
    • (2001) Biometrika , vol.88 , pp. 973-985
    • Heagerty, P.J.1    Kurland, B.F.2
  • 23
    • 0030880605 scopus 로고    scopus 로고
    • Small sample inference for fixed effects from restricted maximum likelihood
    • Kenward, M. G., & Roger, J. H. (1997). Small sample inference for fixed effects from restricted maximum likelihood. Biometrics, 53, 983–997. https://doi.org/10.2307/2533558
    • (1997) Biometrics , vol.53 , pp. 983-997
    • Kenward, M.G.1    Roger, J.H.2
  • 24
    • 61849100484 scopus 로고    scopus 로고
    • An improved approximation to the precision of fixed effects from restricted maximum likelihood
    • Kenward, M. G., & Roger, J. H. (2009). An improved approximation to the precision of fixed effects from restricted maximum likelihood. Computational Statistics & Data Analysis, 53, 2583–2595. https://doi.org/10.1016/j.csda.2008.12.013
    • (2009) Computational Statistics & Data Analysis , vol.53 , pp. 2583-2595
    • Kenward, M.G.1    Roger, J.H.2
  • 25
    • 14544302160 scopus 로고    scopus 로고
    • Conditional and marginal models: Another view
    • Lee, Y., & Nelder, J. A. (2004). Conditional and marginal models: Another view. Statistical Science, 19, 219–228. https://doi.org/10.1214/088342304000000305
    • (2004) Statistical Science , vol.19 , pp. 219-228
    • Lee, Y.1    Nelder, J.A.2
  • 27
    • 84893225043 scopus 로고    scopus 로고
    • HLMdiag: A suite of diagnostics for hierarchical linear models in R
    • Loy, A., & Hofmann, H. (2014). HLMdiag: A suite of diagnostics for hierarchical linear models in R. Journal of Statistical Software, 56, 1–18.
    • (2014) Journal of Statistical Software , vol.56 , pp. 1-18
    • Loy, A.1    Hofmann, H.2
  • 28
    • 1842783963 scopus 로고    scopus 로고
    • Robustness issues in multilevel regression analysis
    • Maas, C. J. M., & Hox, J. J. (2004). Robustness issues in multilevel regression analysis. Statistica Neerlandica, 58, 127–137. https://doi.org/10.1046/j.0039-0402.2003.00252.x
    • (2004) Statistica Neerlandica , vol.58 , pp. 127-137
    • Maas, C.J.M.1    Hox, J.J.2
  • 29
    • 82655175462 scopus 로고    scopus 로고
    • Misspecifying the shape of a random effects distribution: Why getting It wrong may not matter
    • McCulloch, C. E., & Neuhaus, J. M. (2011). Misspecifying the shape of a random effects distribution: Why getting It wrong may not matter. Statistical Science, 26, 388–402. https://doi.org/10.1214/11-STS361
    • (2011) Statistical Science , vol.26 , pp. 388-402
    • McCulloch, C.E.1    Neuhaus, J.M.2
  • 30
    • 85057715472 scopus 로고    scopus 로고
    • Multiple regression is not multiple regressions: The meaning of multiple regression and the non-problem of collinearity
    • Morrissey, M. B., & Ruxton, G. D. (2018). Multiple regression is not multiple regressions: The meaning of multiple regression and the non-problem of collinearity. Philosophy, Theory, and Practice in Biology, 10, 3. https://doi.org/10.3998/ptpbio.16039257.0010.003
    • (2018) Philosophy, Theory, and Practice in Biology , vol.10 , pp. 3
    • Morrissey, M.B.1    Ruxton, G.D.2
  • 31
    • 84995465975 scopus 로고    scopus 로고
    • Missing data: Mechanisms, methods, and messages
    • G. A. Fox, S. Negrete-Yankelevich, V. J. Sosa, (Eds.),, Oxford, UK, Oxford University Press
    • Nakagawa, S. (2015). Missing data: Mechanisms, methods, and messages. In G. A. Fox, S. Negrete-Yankelevich, & V. J. Sosa (Eds.), Ecological statistics: Contemporary theory and application (pp. 81–105). Oxford, UK: Oxford University Press.
    • (2015) Ecological statistics: Contemporary theory and application , pp. 81-105
    • Nakagawa, S.1
  • 32
    • 53649107862 scopus 로고    scopus 로고
    • Missing inaction: The dangers of ignoring missing data
    • Nakagawa, S., & Freckleton, R. P. (2008). Missing inaction: The dangers of ignoring missing data. Trends in Ecology & Evolution, 23, 592–596. https://doi.org/10.1016/j.tree.2008.06.014
    • (2008) Trends in Ecology & Evolution , vol.23 , pp. 592-596
    • Nakagawa, S.1    Freckleton, R.P.2
  • 33
    • 77954751665 scopus 로고    scopus 로고
    • Repeatability for Gaussian and non-Gaussian data: A practical guide for biologists
    • Nakagawa, S., & Schielzeth, H. (2010). Repeatability for Gaussian and non-Gaussian data: A practical guide for biologists. Biological Reviews, 85, 935–956. https://doi.org/10.1111/j.1469-185X.2010.00141.x
    • (2010) Biological Reviews , vol.85 , pp. 935-956
    • Nakagawa, S.1    Schielzeth, H.2
  • 36
    • 0001665813 scopus 로고
    • Model robust confidence-intervals using maximum-likelihood estimators
    • Royall, R. M. (1986). Model robust confidence-intervals using maximum-likelihood estimators. International Statistical Review, 54, 221–226. https://doi.org/10.2307/1403146
    • (1986) International Statistical Review , vol.54 , pp. 221-226
    • Royall, R.M.1
  • 37
    • 0038107039 scopus 로고    scopus 로고
    • Interpreting statistical evidence by using imperfect models: Robust adjusted likelihood functions
    • Royall, R., & Tsou, T. S. (2003). Interpreting statistical evidence by using imperfect models: Robust adjusted likelihood functions. Journal of the Royal Statistical Society B, 65, 391–404. https://doi.org/10.1111/1467-9868.00392
    • (2003) Journal of the Royal Statistical Society B , vol.65 , pp. 391-404
    • Royall, R.1    Tsou, T.S.2
  • 38
    • 0000439370 scopus 로고
    • Bayesianly justifiable and relevant frequency calculations for the applied statistician
    • Rubin, D. B. (1984). Bayesianly justifiable and relevant frequency calculations for the applied statistician. The Annals of Statistics, 12, 1151–1172. https://doi.org/10.1214/aos/1176346785
    • (1984) The Annals of Statistics , vol.12 , pp. 1151-1172
    • Rubin, D.B.1
  • 39
    • 38049181505 scopus 로고    scopus 로고
    • Residual analysis for linear mixed models
    • Santos Nobre, J., & Singer, J. D. (2007). Residual analysis for linear mixed models. Biometrical Journal, 49, 863–875. https://doi.org/10.1002/bimj.200610341
    • (2007) Biometrical Journal , vol.49 , pp. 863-875
    • Santos Nobre, J.1    Singer, J.D.2
  • 40
    • 85088013762 scopus 로고    scopus 로고
    • Code for: Robustness of linear mixed-effects models to violations of distributional assumptions
    • Schielzeth, H. (2020). Code for: Robustness of linear mixed-effects models to violations of distributional assumptions. Zenodo, https://doi.org/10.5281/zenodo.3877130
    • (2020) Zenodo
    • Schielzeth, H.1
  • 41
    • 64949134162 scopus 로고    scopus 로고
    • Conclusions beyond support: Overconfident estimates in mixed models
    • Schielzeth, H., & Forstmeier, W. (2009). Conclusions beyond support: Overconfident estimates in mixed models. Behavioral Ecology, 20, 416–420. https://doi.org/10.1093/beheco/arn145
    • (2009) Behavioral Ecology , vol.20 , pp. 416-420
    • Schielzeth, H.1    Forstmeier, W.2
  • 42
    • 0037290204 scopus 로고    scopus 로고
    • Posterior predictive model checking in hierarchical models
    • Sinharay, S., & Stern, H. S. (2003). Posterior predictive model checking in hierarchical models. Journal of Statistical Planning and Inference, 111, 209–221. https://doi.org/10.1016/S0378-3758(02)00303-8
    • (2003) Journal of Statistical Planning and Inference , vol.111 , pp. 209-221
    • Sinharay, S.1    Stern, H.S.2
  • 45
    • 0023868890 scopus 로고
    • A method for computing profile-likelihood-based confidence intervals
    • Venzon, D. J., & Moolgavkar, S. H. (1988). A method for computing profile-likelihood-based confidence intervals. Journal of the Royal Statistical Society Series C, 37, 87–94. https://doi.org/10.2307/2347496
    • (1988) Journal of the Royal Statistical Society Series C , vol.37 , pp. 87-94
    • Venzon, D.J.1    Moolgavkar, S.H.2
  • 46
    • 0000569928 scopus 로고    scopus 로고
    • A linear mixed-effects model with heterogeneity in the random-effects population
    • Verbeke, G., & Lesaffre, E. (1996). A linear mixed-effects model with heterogeneity in the random-effects population. Journal of the American Statistical Association, 91, 217–221. https://doi.org/10.1080/01621459.1996.10476679
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 217-221
    • Verbeke, G.1    Lesaffre, E.2
  • 47
    • 0031555662 scopus 로고    scopus 로고
    • The effect of misspecifying the random-effects distribution in linear mixed models for longitudinal data
    • Verbeke, G., & Lesaffre, E. (1997). The effect of misspecifying the random-effects distribution in linear mixed models for longitudinal data. Computational Statistics & Data Analysis, 23, 541–556. https://doi.org/10.1016/S0167-9473(96)00047-3
    • (1997) Computational Statistics & Data Analysis , vol.23 , pp. 541-556
    • Verbeke, G.1    Lesaffre, E.2
  • 49
    • 84937162204 scopus 로고    scopus 로고
    • The biology hidden inside residual within-individual phenotypic variation
    • Westneat, D. F., Wright, J., & Dingemanse, N. J. (2015). The biology hidden inside residual within-individual phenotypic variation. Biological Reviews, 90, 729–743. https://doi.org/10.1111/brv.12131
    • (2015) Biological Reviews , vol.90 , pp. 729-743
    • Westneat, D.F.1    Wright, J.2    Dingemanse, N.J.3
  • 51
    • 77957104527 scopus 로고    scopus 로고
    • A protocol for data exploration to avoid common statistical problems
    • Zuur, A. F., Ieno, E. N., & Elphick, C. S. (2010). A protocol for data exploration to avoid common statistical problems. Methods in Ecology and Evolution, 1, 3–14. https://doi.org/10.1111/j.2041-210X.2009.00001.x
    • (2010) Methods in Ecology and Evolution , vol.1 , pp. 3-14
    • Zuur, A.F.1    Ieno, E.N.2    Elphick, C.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.