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A Semiparametric Distribution for Willingness to Pay and Statistical Inference with Dichotomous Choice Contingent Valuation Data

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  • Mark Yuying An

Abstract

This paper proposes a semiparametric willingness to pay distribution and discusses several aspects of statistical inference with dichotomous choice contingent valuation data. We study likelihood-based estimation of the model parameters with and without controlling for unobserved heterogeneity, estimation of the mean and median willingness to pay, and specification tests. These statistical procedures are implemented using a data set. In this application we find that a parametric model is rejected in favor of our semiparametric model, that the heterogeneity can be adequately controlled using a simple density, and that the semiparametric model offers more robust mean willingness to pay estimates. Copyright 2000, Oxford University Press.

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  • Mark Yuying An, 2000. "A Semiparametric Distribution for Willingness to Pay and Statistical Inference with Dichotomous Choice Contingent Valuation Data," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(3), pages 487-500.
    • Handle: RePEc:oup:ajagec:v:82:y:2000:i:3:p:487-500
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    File URL: http://hdl.handle.net/10.1111/0002-9092.00041
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    Cited by:

    1. Álvarez Díaz, Marcos & González Gómez, Manuel & Saavedra González, Ángeles & De Uña Álvarez, Jacobo, 2010. "On dichotomous choice contingent valuation data analysis: Semiparametric methods and Genetic Programming," Journal of Forest Economics, Elsevier, vol. 16(2), pages 145-156, April.
    2. Arthur Lewbel & Oliver Linton, 2003. "Nonparametric estimation of homothetic and homothetically separable functions," CeMMAP working papers 14/03, Institute for Fiscal Studies.
    3. Pere Riera & Raúl Brey & Guillermo Gándara, 2008. "Bid design for non-parametric contingent valuation with a single bounded dichotomous choice format," Hacienda Pública Española / Review of Public Economics, IEF, vol. 186(3), pages 43-60, October.
    4. Mark Y. An & Bent Jesper Christensen & Nabanita Datta Gupta, 2004. "Multivariate mixed proportional hazard modelling of the joint retirement of married couples," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(6), pages 687-704.
    5. Keith H. Coble & J. Corey Miller & M. Darren Hudson, 2008. "Decoupled Farm Payments and Expectations for Base Updating," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 30(1), pages 27-42.
    6. Torero, Maximo & Chowdhury, Shyamal K. & Galdo, Virgilio, 2003. "Willingness to pay for the rural telephone service in Bangladesh and Peru," Information Economics and Policy, Elsevier, vol. 15(3), pages 327-361, September.
    7. Halkos, George, 2012. "The use of contingent valuation in assessing marine and coastal ecosystems’ water quality: A review," MPRA Paper 42183, University Library of Munich, Germany.
    8. Lamiraud, Karine & von Bremen, Konrade & Donaldson, Cam, 2009. "The impact of information on patient preferences in different delivery patterns: A contingent valuation study of prescription versus OTC drugs," Health Policy, Elsevier, vol. 93(2-3), pages 102-110, December.
    9. Arthur Lewbel, 2012. "An Overview of the Special Regressor Method," Boston College Working Papers in Economics 810, Boston College Department of Economics.
    10. Lewbel, Arthur & McFadden, Daniel & Linton, Oliver, 2011. "Estimating features of a distribution from binomial data," Journal of Econometrics, Elsevier, vol. 162(2), pages 170-188, June.
    11. José Sanz & Luis Herrero & Ana Bedate, 2003. "Contingent Valuation and Semiparametric Methods: A Case Study of the National Museum of Sculpture in Valladolid, Spain," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 27(3), pages 241-257, November.
    12. Zapata, Samuel D. & Carpio, Carlos E., . "Distribution-Free Methods to Estimate Willingness to Pay Models Using Discrete Response Valuation Data," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 49(1).
    13. Steven M. Ramsey & Jason S. Bergtold, 2021. "Examining Inferences from Neural Network Estimators of Binary Choice Processes: Marginal Effects, and Willingness-to-Pay," Computational Economics, Springer;Society for Computational Economics, vol. 58(4), pages 1137-1165, December.
    14. Jayson L. Lusk & Darren Hudson, 2004. "Willingness-to-Pay Estimates and Their Relevance to Agribusiness Decision Making," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 26(2), pages 152-169.
    15. Bergtold, Jason S. & Taylor, Daniel B. & Bosch, Darrell J., 2003. "Networking Your Way to a Better Prediction: Effectively Modeling Contingent Valuation Survey Data," 2003 Annual meeting, July 27-30, Montreal, Canada 22152, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    16. Mark Yuying An, 2004. "Likelihood-Based Estimation of a Proportional-Hazard, Competing- Risk Model with Grouped Duration Data," Urban/Regional 0407013, University Library of Munich, Germany.
    17. Jorge E. Arana & Carmelo J. Leon, 2004. "Baysian Flexible Mixture Distribution Modelling of Dichotomous Choice Contingent Valuation with Heterogeneity," Econometric Society 2004 North American Summer Meetings 568, Econometric Society.
    18. Huang, Ju-Chin & Nychka, Douglas W. & Smith, V. Kerry, 2008. "Semi-parametric discrete choice measures of willingness to pay," Economics Letters, Elsevier, vol. 101(1), pages 91-94, October.
    19. Arana, Jorge E. & Leon, Carmelo J., 2005. "Flexible mixture distribution modeling of dichotomous choice contingent valuation with heterogenity," Journal of Environmental Economics and Management, Elsevier, vol. 50(1), pages 170-188, July.
    20. Satimanon, Monthien & Lupi, Frank, 2010. "Comparison of Approaches to Estimating Demand for Payment for Environmental Services," 2010 Annual Meeting, July 25-27, 2010, Denver, Colorado 61288, Agricultural and Applied Economics Association.
    21. Bergtold, Jason S. & Ramsey, Steven M., 2015. "Neural Network Estimators of Binary Choice Processes: Estimation, Marginal Effects and WTP," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205649, Agricultural and Applied Economics Association.
    22. Asfaw, Abay & Braun, Joachim von, 2004. "Can community health insurance schemes shield the poor against the downside health effects of economic reforms? The case of rural ethiopia," Health Policy, Elsevier, vol. 70(1), pages 97-108, October.

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