Two-Step Approach to Self-Selected Interval Data in Elicitation Surveys

46 Pages Posted: 31 May 2012

See all articles by Yuri Belyaev

Yuri Belyaev

Swedish University of Agricultural Sciences (SLU)

Bengt Kriström

SLU- Centre for Environmental and Resource Economics (CERE)

Date Written: May 30, 2012

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 self-selected intervals, mainly related to the fact that individuals often find 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

JEL Classification: Q51

Suggested Citation

Belyaev, Yuri and Kriström, Bengt, Two-Step Approach to Self-Selected Interval Data in Elicitation Surveys (May 30, 2012). Available at SSRN: https://ssrn.com/abstract=2071077 or http://dx.doi.org/10.2139/ssrn.2071077

Yuri Belyaev (Contact Author)

Swedish University of Agricultural Sciences (SLU) ( email )

S-901 83 Umea
Sweden

Bengt Kriström

SLU- Centre for Environmental and Resource Economics (CERE) ( email )

Umea, 901 83
Sweden
+46-(0)90-7865219 (Phone)

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