References
- Laird NM, Ware JH. Random-effects models for longitudinal data. Biometrics. 1982;38:963–974. doi: 10.2307/2529876
- Liang KY, Zeger S. Longitudinal data analysis using generalized linear models. Biometrika. 1986;73(1):13–22. doi: 10.1093/biomet/73.1.13
- Diggle P, Heagerty P, Liang K, et al. Analysis of longitudinal data. Oxford: Oxford University Press; 2002.
- Raudenbush SW. Comparing personal trajectories and drawing causal inferences from longitudinal data. Annu Rev Psychol. 2001;52(1):501–525. doi: 10.1146/annurev.psych.52.1.501
- Muthén B, Shedden K. Finite mixture modeling with mixture outcomes using the EM algorithm. Biometrics. 1999;55(2):463–469. doi: 10.1111/j.0006-341X.1999.00463.x
- Segal MR. Tree-structured methods for longitudinal data. J Am Stat Assoc. 1992;87(418):407–418. doi: 10.1080/01621459.1992.10475220
- Abdolell M, LeBlanc M, Stephens D, et al. Binary partitioning for continuous longitudinal data: categorizing a prognostic variable. Stat Med. 2002;21(22):3395–3409. doi: 10.1002/sim.1266
- Hothorn T, Hornik K, Zeileis A. Unbiased recursive partitioning: a conditional inference framework. J Comput Graph Stat. 2006;15(3):651–674. doi: 10.1198/106186006X133933
- Negassa A, Ciampi A, Abrahamowicz M, et al. Tree-structured subgroup analysis for censored survival data: validation of computationally inexpensive model selection criteria. Stat Comput. 2005;15(3):231–239. doi: 10.1007/s11222-005-1311-z
- Loh W. Regression trees with unbiased variable selection and interaction detection. Stat Sin. 2002;12(2):361–386.
- Shih Y-S. A note on split selection bias in classification trees. Comput Stat Data Anal. 2004;45(3):457–466. doi: 10.1016/S0167-9473(03)00064-1
- Strobl C, Boulesteix A-L, Augustin T. Unbiased split selection for classification trees based on the Gini index. Comput Stat Data Anal. 2007;52(1):483–501. doi: 10.1016/j.csda.2006.12.030
- Loh W-Y, Zheng W, others. Regression trees for longitudinal and multiresponse data. Ann Appl Stat. 2013;7(1):495–522. doi: 10.1214/12-AOAS596
- Brown RL, Durbin J, Evans JM. Techniques for testing the constancy of regression relationships over time. J Roy Stat Soc Ser B. 1975;Jan 1:149–192.
- Nyblom J. Testing for the constancy of parameters over time. J Am Stat Assoc. 1989;84(405):223–230. doi: 10.1080/01621459.1989.10478759
- Hjort NL, Koning A. Tests for constancy of model parameters over time. J Nonparametr Stat. 2010;14(1-2):113–132. doi: 10.1080/10485250211394
- Zeileis A, Hothorn T, Hornik K. Model-based recursive partitioning. J Comput Graph Stat. 2008;17(2):492–514. doi: 10.1198/106186008X319331
- Zeileis A, Hothorn T, Hornik K. party with the mob: model-based Recursive Partitioning in R. R package vignette, version 1.0-19 2010; Available at https://cran.r-project.org/web/packages/party/vignettes/MOB.pdf.
- Andrews DWK. Tests for parameter instability and structural change with unknown change point. Econometrica. 1993;61821–856. doi: 10.2307/2951764
- Hansen B. Approximate asymptotic p values for structuraS-change tests. J Bus Econ Stat. 1997;15(1):60–67.
- Breiman L, Friedman J, Stone C, et al. Classification and regression trees. Boca Raton (FL): Chapman & Hall/CRC; 1984.
- De'Ath G. Multivariate regression trees: a new technique for modeling species-environment relationships. Ecology. 2002;83(4):1105–1117.
- Larsen DR, Speckman PL. Multivariate regression trees for analysis of abundance data. Biometrics. 2004;60(2):543–549. doi: 10.1111/j.0006-341X.2004.00202.x
- Zhang H, Singer B. Recursive partitioning in the health sciences. New York (NY): Springer Verlag; 1999.
- Zhang H. Multivariate adaptive splines for analysis of longitudinal data. J Comput Graph Stat. 1997;87(418):74–91.
- Sela RJ, Simonoff JS. RE-EM trees: a data mining approach for longitudinal and clustered data. Mach Learn. 2012;86(2):169–207. doi: 10.1007/s10994-011-5258-3
- Galimberti G, Montanari A. Regression trees for longitudinal data with time-dependent covariates. Classi Cluster Data Anal. 2002;Jan 1:391–398.
- Fu W, Jeffrey JS. Unbiased regression trees for longitudinal and clustered data. Comput Stat Data Anal. 2015;88:53–74. doi: 10.1016/j.csda.2015.02.004
- Fokkema M, Smits N, Zeileis A, Hothorn T, Kelderman H. Detecting treatment-subgroup interactions in clustered data with generalized linear mixed-effects model trees (No. 2015-10). Working Papers in Economics and Statistics. University of Innsbruck, Innsbruck, Austria. 2015.
- Eo SH, Cho H. Tree-structured mixed-effects regression modeling for longitudinal data. J Comput Graph Stat. 2014;23(3):740–760. doi: 10.1080/10618600.2013.794732
- Demidenko E. Mixed models: theory and applications. Hoboken (NJ): Wiley-Interscience; 2004.
- Billingsley P. Convergence of probability measures. New York (NY): Wiley-Interscience; 2009.
- Csõrgõ M. A glimpse of the impact of pál erd# ous on probability and statistics. Can J Stat. 2002;30(4):493–556. doi: 10.2307/3316095
- Pitman E. Notes on non-parametric statistical inference. New York (NY): Columbia University; 1949.
- Lilliefors HW. On the Kolmogorov-Smirnov test for normality with mean and variance unknown. J Am Stat Assoc. 1967;62(318):399–402. doi: 10.1080/01621459.1967.10482916
- Massey Jr F. The Kolmogorov-Smirnov test for goodness of fit. J Am Stat Assoc. 1951;46(253):68–78. doi: 10.1080/01621459.1951.10500769
- Birnbaum ZW. Numerical tabulation of the distribution of Kolmogorov's statistic for finite sample size. J Am Stat Assoc. 1952;47(259):425–441. doi: 10.1080/01621459.1952.10501182
- Hochberg Y. A sharper Bonferroni procedure for multiple tests of significance. Biometrika. 1988;75(4):800–802. doi: 10.1093/biomet/75.4.800
- Hochberg Y, Tamhane A. Multiple comparison procedures. New York: John Wiley & Sons; 2009.
- De'Ath G mvpart. Multivariate partitioning R package version 0.1-6. 2013.
- Gongvatana A, Harezlak J, Buchthal S, et al. others. Progressive cerebral injury in the setting of chronic HIV infection and antiretroviral therapy. J Neurovirol. 2013;19(3):209–218. doi: 10.1007/s13365-013-0162-1
- Chang L, Ernst T, Witt M, et al. Relationships among brain metabolites, cognitive function, and viral loads in antiretroviral-naıve HIV patients. Neuroimage. 2002;17(3):1638–1648. doi: 10.1006/nimg.2002.1254