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On finite sample performance of confidence intervals methods for willingness to pay measures
Institution:1. Dipartimento di Scienze Politiche, CREI, Università di Roma Tre, Via G. Chiabrera, 199, 00145 Roma, Italy;2. Università di Macerata, Dipartimento di Economia e Diritto, via Crescimbeni 20, 62100 Macerata, Italy;1. Space Research and Technology Institute, BAS, Stara Zagora Department, Stara Zagora, Bulgaria;2. Polar Geophysical Institute, Apatity, Murmansk Region, 184200, Russia;1. Transport Research Centre -TRANSyT-, Department of Transport and Territory, Universidad Politécnica de Madrid, C/ Profesor Aranguren, 3, 28041 Madrid, Spain;2. Transport Studies Unit, School of Geography and the Environment, University of Oxford, South Parks Road, Oxford OX1 3QY United Kingdom;1. Significance, The Netherlands;2. ITS Leeds, United Kingdom;3. MINT, Belgium;4. Verkeerscentrum, Departement MOW, Flemish Authorities, Belgium;1. Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstr. 7, 64289 Darmstadt, Germany;2. Department of Computer Science and Software Engineering, Concordia University, 1455 De Maisonneuve Blvd. West, Montreal, Quebec, Canada H3G 1M8;3. Fachbereich Mathematik, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
Abstract:This paper systematically compares finite sample performances of methods to build confidence intervals for willingness to pay measures in a choice modeling context. It contributes to the field by also considering methods developed in other research fields. Various scenarios are evaluated under an extensive Monte Carlo study. Results show that the commonly used Delta method, producing symmetric intervals around the point estimate, often fails to account for skewness in the estimated willingness to pay distribution. Both the Fieller method and the likelihood ratio test inversion method produce more realistic confidence intervals for small samples. Some bootstrap methods also perform reasonably well, in terms of effective coverage. Finally, empirical data are used to illustrate an application of the methods considered.
Keywords:Confidence interval  Willingness to pay  Choice modeling  Elasticity  Standard error
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