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Articles

A model averaging approach for the ordered probit and nested logit models with applications

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Pages 3012-3052 | Received 23 Sep 2017, Accepted 04 Mar 2018, Published online: 21 Mar 2018

References

  • S.M. Amini and C.F. Parmeter, Comparison of model averaging techniques: Assessing growth determinants, J. Appl. Econometrics 27 (2012), pp. 870–876. doi: 10.1002/jae.2288
  • T. Ando and K.C. Li, A model-averaging approach for high-dimensional regression, J. Amer. Statist. Assoc. 109 (2014), pp. 254–265. doi: 10.1080/01621459.2013.838168
  • S.T. Buckland, K.P. Burnham, and N.H. Augustin, Model selection: An integral part of inference, Biometrics 53 (1997), pp. 603–618. doi: 10.2307/2533961
  • K.P. Burnham and D.R. Anderson, Multimodel inference understanding AIC and BIC in model selection, Sociol. Methods Res. 33 (2004), pp. 261–304. doi: 10.1177/0049124104268644
  • G. Claeskens, Statistical model choice, Annu. Rev. Stat. Appl. 3 (2016), pp. 233–256. doi: 10.1146/annurev-statistics-041715-033413
  • G. Claeskens, C. Croux, and J. Van Kerckhoven, Variable selection for logistic regression using a prediction-focused information criterion, Biometrics 62 (2006), pp. 972–979. doi: 10.1111/j.1541-0420.2006.00567.x
  • G. Claeskens and N.L. Hjort, The focused information criterion, J. Amer. Statist. Assoc. 98 (2003), pp. 879–899. doi: 10.1198/016214503000000819
  • G. Claeskens and N.L. Hjort, Model Selection and Model Averaging, Cambridge, New York, 2008.
  • D. Danilov and J.R. Magnus, On the harm that ignoring pre-testing can cause, J. Econometrics 122 (2004), pp. 27–46. doi: 10.1016/j.jeconom.2003.10.018
  • I. Davidson and W. Fan, When efficient model averaging outperforms boosting and bagging, in Knowledge Discovery in Databases: PKDD 2006, LNAI 4213, J. Fürnkranz, T. Scheffer, and M. Spiliopoilou, eds., Springer, Heidelberg, 2006, pp. 478–486.
  • K. Duan and Y. Mei, A comparison study of three statistical downscaling methods and their model-averaging ensemble for precipitation downscaling in China, Theor. Appl. Climatol. 116 (2014), pp. 707–719. doi: 10.1007/s00704-013-1069-8
  • P.H. Franses and R. Paap, Quantitative Models in Marketing Research, Cambridge, New York, 2001.
  • A. Gelman, Statistics and the crisis of scientific replication, Significance 12 (2015), pp. 33–35. doi: 10.1111/j.1740-9713.2015.00828.x
  • J.A. Giles and D.E.A Giles, Pre-test estimation and testing in econometrics: Recent developments, J. Econ. Surv. 7 (1993), pp. 145–197. doi: 10.1111/j.1467-6419.1993.tb00163.x
  • D. Grant, A. Morales, and J.J. Sallaz, Pathways to meaning: A new approach to studying emotions at work, Am. J. Sociol. 115 (2009), pp. 327–364. doi: 10.1086/599252
  • B.E. Hansen, Least squares model averaging, Econometrica 75 (2007), pp. 1175–1189. doi: 10.1111/j.1468-0262.2007.00785.x
  • B.E. Hansen, Model averaging, asymptotic risk and regressor groups, Quant. Econom. 5 (2014), pp. 495–530. doi: 10.3982/QE332
  • B.E Hansen and J.S. Racine, Jackknife model averaging, J. Econom. 167 (2012), pp. 38–46. doi: 10.1016/j.jeconom.2011.06.019
  • J. Hausman and D. McFadden, Specification tests for the multinomial logit model, Econometrica 52 (1984), pp. 1219–1240. doi: 10.2307/1910997
  • N.L. Hjort and G. Claeskens, Frequentist model average estimators, J. Amer. Statist. Assoc. 98 (2003), pp. 879–899. doi: 10.1198/016214503000000828
  • N.L. Hjort and G. Claeskens, Focused information criteria and model averaging for the Cox hazard regression model, J. Amer. Statist. Assoc. 101 (2006), pp. 1449–1464. doi: 10.1198/016214506000000069
  • T. Inoguchi, M. Basànez, A. Tanaka, and T. Dadabaev (eds.), Values and Life Styles in Urban Asia: A Cross-Cultural Analysis and Sourcebook based on the AsiaBarometer Survey of 2003, Vol. 19, Tokyo, Institute of Oriental Culture, University of Tokyo, 2005.
  • C.H. Jackson, S.G. Thompson, and L.D. Sharples, Accounting for uncertainty in health economic decision models by using model averaging, J. R. Stat. Soc. Ser. A 172 (2009), pp. 383–404. doi: 10.1111/j.1467-985X.2008.00573.x
  • D.C. Jain, N.J. Vilcassim, and P.K. Chintagunta, A random-coefficients logit brand-choice model applied to panel data, J. Bus. Econ. Stat. 12 (1994), pp. 317–328.
  • J.B. Johnson and K.S. Omland, Model selection in ecology and evolution, Trends Ecol. Evol. 19 (2004), pp. 101–108. doi: 10.1016/j.tree.2003.10.013
  • T.A. Knapp, N.E. White, and D.E. Clark, A nested logit approach to household mobility, J. Reg. Sci. 41 (2001), pp. 1–22. doi: 10.1111/0022-4146.00204
  • H. Leeb and B.M. Pötscher, Model selection and inference: Facts and fiction, Econ. Theory. 21 (2005), pp. 21–59. doi: 10.1017/S0266466605050036
  • H. Liang, G. Zou, A.T.K Wan, and X. Zhang, Optimal weight choice for frequentist model average estimators, J. Amer. Statist. Assoc. 106 (2011), pp. 1053–1066. doi: 10.1198/jasa.2011.tm09478
  • C.A. Liu, Distribution theory of the least squares averaging estimator, J. Econometrics 186 (2015), pp. 142–159. doi: 10.1016/j.jeconom.2014.07.002
  • S. Liu and Y. Yang, Combining models in longitudinal data analysis, Ann. Inst. Stat. Math. 64 (2012), pp. 233–254. doi: 10.1007/s10463-010-0306-5
  • S.R. Lucas, Effectively maintained inequality: Education transitions, track mobility, and social background effects, Am. J. Sociol. 106 (2001), pp. 1642–1690. doi: 10.1086/321300
  • N. Meinshausen and P. Blmann, Stability selection, J. R. Stat. Soc. Ser. B 72 (2010), pp. 417–473. 260. doi: 10.1111/j.1467-9868.2010.00740.x
  • E. Moral-Benito, Model averaging in economics: An overview, J. Econ. Surv. 29 (2015), pp. 46–75. doi: 10.1111/joes.12044
  • R.D. Plotnick, The effects of attitudes on teenage premarital pregnancy and its resolution, Am. Sociol. Rev. 57 (1992), pp. 800–811. doi: 10.2307/2096124
  • M. Schomaker and C. Heumann, Model selection and model averaging after multiple imputation, Comput. Statist. Data Anal. 71 (2014), pp. 758–770. doi: 10.1016/j.csda.2013.02.017
  • M. Schomaker, A.T.K. Wan, and C. Heumann, Frequentist model averaging with missing observations, Comput. Statist. Data Anal. 54 (2010), pp. 3336–3347. doi: 10.1016/j.csda.2009.07.023
  • K. Schorning, B. Bornkamp, F. Bretz, and H. Dette, Model selection versus model averaging in dose finding studies, Stat. Med. 35 (2016), pp. 4021–404. doi: 10.1002/sim.6991
  • R.D. Shah and R.J. Samworth, Variable selection with error control: Another look at stability selection, J. R. Stat. Soc. Ser. B 75 (2013), pp. 55–80. doi: 10.1111/j.1467-9868.2011.01034.x
  • A.T.K. Wan and X. Zhang, On the use of model averaging in tourism research, Ann. Tour. Res. 36 (2009), pp. 525–532. doi: 10.1016/j.annals.2009.03.004
  • A.T.K. Wan, X. Zhang, and S. Wang, Frequentist model averaging for multinomial and ordered logit models, Int. J. Forecast. 30 (2014), pp. 118–128. doi: 10.1016/j.ijforecast.2013.07.013
  • A.T.K. Wan, X. Zhang, and G. Zou, Least squares model averaging by Mallows criterion, J. Econometrics 156 (2010), pp. 277–283. doi: 10.1016/j.jeconom.2009.10.030
  • H. White, Maximum likelihood estimation of misspecified models, Econometrica 50 (1982), pp. 1–25. doi: 10.2307/1912526
  • F. Wilcoxon, Individual comparisons by ranking methods, Biometrics 1 (1945), pp. 80–83. doi: 10.2307/3001968
  • Z. Yuan and Y. Yang, Combining linear regression models: When and how? J. Amer. Statist. Assoc. 100 (2005), pp. 1202–1214. doi: 10.1198/016214505000000088
  • X. Zhang and H. Liang, Focused information criterion and model averaging for generalized additive partial linear models, Ann. Statist. 39 (2011), pp. 174–200. doi: 10.1214/10-AOS832
  • X. Zhang, A.T.K. Wan, and S.Z. Zhou, Focused information criteria, model selection, and model averaging in a Tobit model with a nonzero threshold, J. Bus. Econ. Stat. 30 (2012), pp. 132–142. doi: 10.1198/jbes.2011.10075
  • X. Zhang, A.T.K. Wan, and G. Zou, Model averaging by jackknife criterion in models with dependent data, J. Econometrics 174 (2013), pp. 82–94. doi: 10.1016/j.jeconom.2013.01.004
  • X. Zhang, G. Zou, and R.J. Carroll, Model averaging based on Kullback–Leibler distance, Stat. Sinica 25 (2015), pp. 1583–1598.
  • X. Zhang, G. Zou, and H. Liang, Model averaging and weight choice in linear mixed-effects models, Biometrika 101 (2014), pp. 205–218. doi: 10.1093/biomet/ast052

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