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Evaluating time-varying treatment effects in latent Markov models: An application to the effect of remittances on poverty dynamics

Author

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  • Tullio, Federico
  • Bartolucci, Francesco

Abstract

To assess the effectiveness of remittances on the poverty level of recipient households, we propose a causal inference approach that may be applied with longitudinal data and time-varying treatments. The method relies on the integration of a propensity score based technique, the inverse propensity weighting, with a general Latent Markov (LM) framework. It is particularly useful when the interest is in an individual characteristic that is not directly observable and the analysis is focused on: (i) clustering individuals in a finite number of classes according to this latent characteristic and (ii) modelling its evolution across time depending on the received treatment. Parameter estimation is based on a two-step procedure in which individual weights are computed for each time period based on predetermined covariates and a weighted version of the standard LM model likelihood based on such weights is maximised by means of an expectation-maximisation algorithm. Finite-sample properties of the estimator are studied by simulation. The application is focused on the effect of remittances on the poverty status of Ugandan households, based on a longitudinal survey spanning the period 2009-2014 and where response variables are indicators of deprivation.

Suggested Citation

  • Tullio, Federico & Bartolucci, Francesco, 2019. "Evaluating time-varying treatment effects in latent Markov models: An application to the effect of remittances on poverty dynamics," MPRA Paper 91459, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:91459
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    File URL: https://mpra.ub.uni-muenchen.de/91459/1/MPRA_paper_91459.pdf
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    1. Sylvie Démurger, 2015. "Migration and families left behind," IZA World of Labor, Institute of Labor Economics (IZA), pages 144-144, April.
    2. Stark, Oded & Bloom, David E, 1985. "The New Economics of Labor Migration," American Economic Review, American Economic Association, vol. 75(2), pages 173-178, May.
    3. Christopher Whelan & Bertrand Maître, 2006. "Comparing poverty and deprivation dynamics: Issues of reliability and validity," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 4(3), pages 303-323, December.
    4. Francesco Bartolucci & Fulvia Pennoni & Giorgio Vittadini, 2016. "Causal Latent Markov Model for the Comparison of Multiple Treatments in Observational Longitudinal Studies," Journal of Educational and Behavioral Statistics, , vol. 41(2), pages 146-179, April.
    5. McKenzie, David & Sasin, Marcin J., 2007. "Migration, remittances, poverty, and human capital : conceptual and empirical challenges," Policy Research Working Paper Series 4272, The World Bank.
    6. Francesco Bartolucci & Fulvia Pennoni & Giorgio Vittadini, 2011. "Assessment of School Performance Through a Multilevel Latent Markov Rasch Model," Journal of Educational and Behavioral Statistics, , vol. 36(4), pages 491-522, August.
    7. Antonello Maruotti, 2011. "Mixed Hidden Markov Models for Longitudinal Data: An Overview," International Statistical Review, International Statistical Institute, vol. 79(3), pages 427-454, December.
    8. F. Bartolucci & A. Farcomeni & F. Pennoni, 2014. "Rejoinder on: Latent Markov models: a review of a general framework for the analysis of longitudinal data with covariates," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 484-486, September.
    9. Catalina Amuedo-Dorantes & Susan Pozo, 2011. "Remittances and Income Smoothing," American Economic Review, American Economic Association, vol. 101(3), pages 582-587, May.
    10. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    11. Rapoport, Hillel & Docquier, Frederic, 2006. "The Economics of Migrants' Remittances," Handbook on the Economics of Giving, Reciprocity and Altruism, in: S. Kolm & Jean Mercier Ythier (ed.), Handbook of the Economics of Giving, Altruism and Reciprocity, edition 1, volume 1, chapter 17, pages 1135-1198, Elsevier.
    12. Carlos Vargas-Silva (ed.), 2012. "Handbook of Research Methods in Migration," Books, Edward Elgar Publishing, number 14062.
    13. James J. Heckman & Hidehiko Ichimura & Petra E. Todd, 1997. "Matching As An Econometric Evaluation Estimator: Evidence from Evaluating a Job Training Programme," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(4), pages 605-654.
    14. Takashi Kurosaki, 2006. "Consumption vulnerability to risk in rural Pakistan," Journal of Development Studies, Taylor & Francis Journals, vol. 42(1), pages 70-89.
    15. Lucas, Robert E B & Stark, Oded, 1985. "Motivations to Remit: Evidence from Botswana," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 901-918, October.
    16. Ratha, Dilip & Mohapatra, Sanket & Scheja, Elina, 2011. "Impact of migration on economic and social development : a review of evidence and emerging issues," Policy Research Working Paper Series 5558, The World Bank.
    17. Richard Adams, 2011. "Evaluating the Economic Impact of International Remittances On Developing Countries Using Household Surveys: A Literature Review," Journal of Development Studies, Taylor & Francis Journals, vol. 47(6), pages 809-828.
    18. F. Bartolucci & A. Farcomeni & F. Pennoni, 2014. "Latent Markov models: a review of a general framework for the analysis of longitudinal data with covariates," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 433-465, September.
    19. World Bank, 2016. "The Uganda Poverty Assessment Report 2016," World Bank Publications - Reports 26075, The World Bank Group.
    20. Carla Machado & Carlos Daniel Paulino & Francisco Nunes, 2009. "Deprivation analysis based on Bayesian latent class models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(8), pages 871-891.
    21. Jaya Krishnakumar, 2008. "Multidimensional Measures of Poverty and Well-being Based on Latent Variable Models," Palgrave Macmillan Books, in: Nanak Kakwani & Jacques Silber (ed.), Quantitative Approaches to Multidimensional Poverty Measurement, chapter 7, pages 118-134, Palgrave Macmillan.
    22. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 51-65, April.
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    Cited by:

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    2. F. J. Clouth & S. Pauws & F. Mols & J. K. Vermunt, 2022. "A new three-step method for using inverse propensity weighting with latent class analysis," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 16(2), pages 351-371, June.

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    More about this item

    Keywords

    Causal inference; Expectation-maximisation algorithm; Potential outcomes; Weighted Maximum Likelihood;
    All these keywords.

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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