Two-step approach to Self-Selected Interval Data in Elicitation Surveys

Yuri Belyaev () and Bengt Kriström ()
Additional contact information
Yuri Belyaev: Department of Forest Economics, Postal: SLU, S-901 83 Umeå, Sweden, http://www.slu.se
Bengt Kriström: CERE, Centre for Environmental and Resource Economics, Postal: SLU and Umeå University, S-901 83 Umeå, Sweden, http://www.cere.se

No 2012:10, CERE Working Papers from CERE - the Center for Environmental and Resource Economics

Abstract: We propose a novel two-step approach to elicitation in surveys and provide supporting statistical theory for the models suggested. The essential idea is to combine self-selected intervals in a first step and then employ brackets generated from the intervals in a second step. In this way we combine the advantages of selfselected intervals, mainly related to the fact that individuals often fi nd it difficult to report a precise point-estimate of a quantity of interest, with the documented usefulness of brackets. Because the brackets are generated from the first sample we sidestep the thorny problem of the optimal design of brackets and additional assumptions on dependency between the self-selected intervals and their points of interest. Our set-up necessitates development of new statistical models. First, we propose a stopping rule for sampling in the first step. Second, Theorem 1 proves that the proposed non-parametric ML-estimator of the underlying distribution function is consistent. Third, a special recursion for quick estimation of the ML-estimators is suggested. Theorem 2 shows that the accuracy of the estimator can be consistently estimated by resampling. Fourth, we have developed an R-package for efficient application of the method. We illustrate the approach using the problem of eliciting willingness-to-pay for a public good.

Keywords: Interval data; Maximum Likelihood; Turnbull estimator; willingness-to-pay; quantitative elicitation; resampling (search for similar items in EconPapers)
JEL-codes: Q51 (search for similar items in EconPapers)
Pages: 46 pages
Date: 2012-05-31
New Economics Papers: this item is included in nep-ecm and nep-ore
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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