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

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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.

Suggested Citation

  • Belyaev, Yuri & Kriström, Bengt, 2012. "Two-step approach to Self-Selected Interval Data in Elicitation Surveys," CERE Working Papers 2012:10, CERE - the Center for Environmental and Resource Economics.
  • Handle: RePEc:hhs:slucer:2012_010
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    File URL: http://www-sekon.slu.se/~gbost/CERE_WP2012-10.pdf
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    References listed on IDEAS

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    1. Broberg, Thomas & Brännlund, Runar, 2008. "An alternative interpretation of multiple bounded WTP data--Certainty dependent payment card intervals," Resource and Energy Economics, Elsevier, vol. 30(4), pages 555-567, December.
    2. Cecilia Håkansson, 2008. "A new valuation question: analysis of and insights from interval open-ended data in contingent valuation," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 39(2), pages 175-188, February.
    3. Daniel McFadden & Albert Bemmaor & Francis Caro & Jeff Dominitz & Byung-Hill Jun & Arthur Lewbel & Rosa Matzkin & Francesca Molinari & Norbert Schwarz & Robert Willis & Joachim Winter, 2005. "Statistical Analysis of Choice Experiments and Surveys," Marketing Letters, Springer, vol. 16(3), pages 183-196, December.
    4. Belyaev, Yuri & Kriström, Bengt, 2010. "Approach to Analysis of Self-Selected Interval Data," CERE Working Papers 2010:2, CERE - the Center for Environmental and Resource Economics.
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    Cited by:

    1. Oben K Bayrak & Bengt Kriström, 2016. "Is there a valuation gap? The case of interval valuations," Economics Bulletin, AccessEcon, vol. 36(1), pages 218-236.

    More about this item

    Keywords

    Interval data; Maximum Likelihood; Turnbull estimator; willingness-to-pay; quantitative elicitation; resampling;

    JEL classification:

    • Q51 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Valuation of Environmental Effects

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