CERE Working Papers, CERE - the Center for Environmental and Resource Economics
Two-step approach to Self-Selected Interval Data in Elicitation Surveys
() and Bengt Kriström
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; (follow links to similar papers)
JEL-Codes: Q51; (follow links to similar papers)
46 pages, May 31, 2012
Before downloading any of the electronic versions below
you should read our statement on
for viewing Postscript files and the
Acrobat Reader for viewing and printing pdf files.
Full text versions of the paper:
Questions (including download problems) about the papers in this series should be directed to Mona Bonta Bergman ()
Report other problems with accessing this service to Sune Karlsson ()
or Helena Lundin ().
Design by Joachim Ekebom