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Original Articles

Quantile regression in longitudinal studies with dropouts and measurement errors

, &
Pages 3527-3542 | Received 28 Jul 2015, Accepted 24 Mar 2016, Published online: 08 Apr 2016

References

  • Koenker R, Bassett Jr G. Regression quantiles. Econometrica. 1978;46(1):33–50. doi: 10.2307/1913643
  • Carroll RJ, Ruppert D, Stefanski LA, Crainiceanu CM. Measurement error in nonlinear models: a modern perspective. Boca Raton, FL: CRC Press; 2006.
  • Tang N-S, Zhao P-Y. Empirical likelihood-based inference in nonlinear regression models with missing responses at random. Statistics. 2013;47(6):1141–1159. doi: 10.1080/02331888.2012.658807
  • Qu A, Lindsay BG, Lu L. Highly efficient aggregate unbiased estimating functions approach for correlated data with missing at random. J Amer Statist Assoc. 2010;105(489):194–204. doi: 10.1198/jasa.2009.tm08506
  • Robins JM, Rotnitzky A. Semiparametric efficiency in multivariate regression models with missing data. J Amer Statist Assoc. 1995;90(429):122–129. doi: 10.1080/01621459.1995.10476494
  • Xue L, Xue D. Empirical likelihood for semiparametric regression model with missing response data. J Multivariate Anal. 2011;102(4):723–740. doi: 10.1016/j.jmva.2010.11.001
  • Zhou Y, Liang H. Statistical inference for semiparametric varying-coefficient partially linear models with error-prone linear covariates. Ann Statist. 2009;37(1):427–458. doi: 10.1214/07-AOS561
  • Xiao Z, Shao J, Palta M. Gmm in linear regression for longitudinal data with multiple covariates measured with error. J Appl Stat. 2010;37(5):791–805. doi: 10.1080/02664760902890005
  • Ma Y, Li R. Variable selection in measurement error models. Bernoulli. 2010;16(1):274–300. doi: 10.3150/09-BEJ205
  • Hall P, Ma Y. Semiparametric estimators of functional measurement error models with unknown error. J R Stat Soc Ser B Statist Methodol. 2007;69(3):429–446. doi: 10.1111/j.1467-9868.2007.00596.x
  • Liu W, Wu L. Simultaneous inference for semiparametric nonlinear mixed-effects models with covariate measurement errors and missing responses. Biometrics. 2007;63(2):342–350. doi: 10.1111/j.1541-0420.2006.00687.x
  • Wang CY, Huang Y, Chao EC, Jeffcoat MK. Expected estimating equations for missing data, measurement error, and misclassification, with application to longitudinal nonignorable missing data. Biometrics. 2008;64(1):85–95. doi: 10.1111/j.1541-0420.2007.00839.x
  • Yi GY, Liu W, Wu L. Simultaneous inference and bias analysis for longitudinal data with covariate measurement error and missing responses. Biometrics. 2011;67(1):67–75. doi: 10.1111/j.1541-0420.2010.01437.x
  • Yi GY, Ma Y, Carroll RJ. A functional generalized method of moments approach for longitudinal studies with missing responses and covariate measurement error. Biometrika. 2012;99(1):151–165. doi: 10.1093/biomet/asr076
  • Lipsitz SR, Fitzmaurice GM, Molenberghs G, Zhao LP. Quantile regression methods for longitudinal data with drop-outs: application to cd4 cell counts of patients infected with the human immunodeficiency virus. J Roy Stat Soc Ser C. 1997;46(4):463–476. doi: 10.1111/1467-9876.00084
  • Yi GY, He W. Median regression models for longitudinal data with dropouts. Biometrics. 2009;65(2):618–625. doi: 10.1111/j.1541-0420.2008.01105.x
  • Yuan Y, Yin G. Bayesian quantile regression for longitudinal studies with nonignorable missing data. Biometrics. 2010;66(1):105–114. doi: 10.1111/j.1541-0420.2009.01269.x
  • Wei Y, Ma Y, Carroll RJ. Multiple imputation in quantile regression. Biometrika. 2012;99(2):423–438. doi: 10.1093/biomet/ass007
  • He X, Liang H. Quantile regression estimates for a class of linear and partially linear errors-in-variables models. Discussion Papers, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes; 1997.
  • Wei Y, Carroll RJ. Quantile regression with measurement error. J Amer Statist Assoc. 2009;104(487):1129–1143. doi: 10.1198/jasa.2009.tm08420
  • Wang HJ, Stefanski LA, Zhu Z. Corrected-loss estimation for quantile regression with covariate measurement errors. Biometrika. 2012;99(2):405–421. doi: 10.1093/biomet/ass005
  • Barry VW, McClain AC, Shuger S, et al. Using a technology-based intervention to promote weight loss in sedentary overweight or obese adults: a randomized controlled trial study design. Diabetes Metab Syndr Obes. 2011;4:67–77. doi: 10.2147/DMSO.S14526
  • Robins JM, Rotnitzky A, Zhao LP. Analysis of semiparametric regression models for repeated outcomes in the presence of missing data. J Amer Statist Assoc. 1995;90(429):106–121. doi: 10.1080/01621459.1995.10476493
  • Fitzmaurice GM, Molenberghs G, Lipsitz SR. Regression models for longitudinal binary responses with informative drop-outs. J R Stat Soc Ser B. 1995;57(4):691–704.
  • Lifestyle Education for Activity and Nutrition for a Leaner You (LEAN). University of south carolina. In: ClinicalTrials.gov; SC, USA; 2015 [Internet]. Available from: https://clinicaltrials.gov/ct2/show/NCT00957008.
  • Shuger SL, Barry VW, Sui X, et al. Electronic feedback in a diet-and physical activity-based lifestyle intervention for weight loss: a randomized controlled trial. Int J Behav Nutr Phys Act. 2011;8(41):1–8.
  • White H. A heteroskedastic-consistent covariance matrix and a direct test for heteroskedasticity. Econometrica. 1980;48:817–838. doi: 10.2307/1912934

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