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Estimation of ordered response models with sample selection

Author

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  • Giuseppe De Luca

    () (Istituto per lo Sviluppo della Formazione Professionale dei Lavoratori)

  • Valeria Perotti

    (The World Bank)

Abstract

We introduce two new Stata commands for the estimation of an or- dered response model with sample selection. The opsel command uses a standard maximum-likelihood approach to fit a parametric specification of the model where errors are assumed to follow a bivariate Gaussian distribution. The snpopsel command uses the semi-nonparametric approach of Gallant and Nychka (1987, Econometrica 55: 363–390) to fit a semiparametric specification of the model where the bivariate density function of the errors is approximated by a Hermite polynomial expansion. The snpopsel command extends the set of Stata routines for semi-nonparametric estimation of discrete response models. Compared to the other semi-nonparametric estimators, our routine is relatively faster because it is programmed in Mata. In addition, we provide new postestimation routines to compute linear predictions, predicted probabilities, and marginal effects. These improvements are also extended to the set of semi-nonparametric Stata commands originally written by Stewart (2004, Stata Journal 4: 27–39) and De Luca (2008, Stata Journal 8: 190–220). An illustration of the new opsel and snpopsel com- mands is provided through an empirical application on self-reported health with selectivity due to sample attrition. Copyright 2011 by StataCorp LP.

Suggested Citation

  • Giuseppe De Luca & Valeria Perotti, 2011. "Estimation of ordered response models with sample selection," Stata Journal, StataCorp LP, vol. 11(2), pages 213-239, June.
  • Handle: RePEc:tsj:stataj:v:11:y:2011:i:2:p:213-239
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    References listed on IDEAS

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    2. Muhammed BENLI, 2016. "FDI and export spillovers using Heckman’s two step approach: Evidence from Turkish manufacturing data," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(4(609), W), pages 315-342, Winter.
    3. Bastien Bernela & Rachel Levy, 2017. "Collaboration networks within a French cluster: Do partners really interact with each other?," Papers in Regional Science, Wiley Blackwell, vol. 96(1), pages 115-138, March.
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    8. Cinthya G. Caamal Olvera, 2017. "Decreasing returns to schooling in Mexico," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 32(1), pages 27-63.
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    12. Edwin S. Wong, 2013. "Gender preference and transfers from parents to children: an inter-regional comparison," International Review of Applied Economics, Taylor & Francis Journals, vol. 27(1), pages 61-80, January.
    13. Sdiri, Hanen & Ayadi, Mohamed, 2012. "Innovation et externalisation des services: une analyse empirique sur données d'entreprises tunisiennes
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      ," Working Papers halshs-01085016, HAL.
    15. Hyeyoung Kim & Lisa House & Matthew Salois, 2015. "Consumer response to media information: the case of grapefruit-medicine interaction," Health Economics Review, Springer, vol. 5(1), pages 1-12, December.
    16. Omar Paccagnella, 2011. "Anchoring vignettes with sample selection due to non‐response," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 174(3), pages 665-687, July.
    17. Lin, Yi-Chen & Hwang, Ruey-Ching & Deng, Wen-Shuenn, 2015. "Heterogeneity in the relationship between subjective well-being and its determinants over the life cycle: A varying-coefficient ordered probit approach," Economic Modelling, Elsevier, vol. 49(C), pages 372-386.
    18. David ARISTEI & Manuela Gallo, 2012. "The Drivers of Household Over-Indebtedness and Delinquency on Mortgage Loans: Evidence from Italian Microdata," Quaderni del Dipartimento di Economia, Finanza e Statistica 105/2012, Università di Perugia, Dipartimento Economia.
    19. Nabil Abou Lebdi & Katrin Hussinger, 2016. "Startup Innovation during the Past Economic Crisis," CREA Discussion Paper Series 16-27, Center for Research in Economic Analysis, University of Luxembourg.
    20. Massimiliano Volpi, 2014. "Universities as sources of information: comparing the role of 'open innovation' and companies' motivations," SEEDS Working Papers 0514, SEEDS, Sustainability Environmental Economics and Dynamics Studies, revised Mar 2014.

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