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A Note on Nonlinearity Bias and Dichotomous Choice CVM: Implications for Aggregate Benefits Estimation

Published online by Cambridge University Press:  15 September 2016

R.A. Souter
Affiliation:
USDA Forest Service, Southern Research Station, Forestry Sciences Lab, Athens, Georgia
J.M. Bowker
Affiliation:
USDA Forest Service, Southern Research Station, Forestry Sciences Lab, Athens, Georgia
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Abstract

It is a generally known statistical fact that the mean of a nonlinear function of a set of random variables is not equivalent to the function evaluated at the means of the variables. However, in dichotomous choice contingent valuation studies a common practice is to calculate an overall mean (or median) by integrating over offer space (numerically or analytically) an estimated logit or probit function in which sample mean values for the concomitant variables are used. We demonstrate this procedure to be incorrect and we statistically test the procedure against the correct method for nonlinear models. Using data resulting in a well-behaved logit model, we reject the hypothesis of congruence between the two means. Such a finding should be considered in future single response dichotomous choice CVM studies, particularly when aggregation is of interest.

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Articles
Copyright
Copyright © 1996 Northeastern Agricultural and Resource Economics Association 

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References

Arrow, K., Solow, R., Portnoy, P.R., Learner, E.E., Radner, R., and Schuman, H. Report of the NOAA Panel on Contingent Valuation. Washington, D.C.: Resources for the Future, January 1993.Google Scholar
Bishop, R.C., and Heberlein, T.A.Measuring Values of Extra-Market Goods: Are Indirect Measures Biased?American Journal of Agricultural Economics 61 (1979): 926–30.CrossRefGoogle Scholar
Bowker, J.M., and Stoll, J.R.Use of Dichotomous Choice Nonmarket Methods to Value the Whooping Crane Resource.” American Journal of Agricultural Economics 70 (1988): 372–81.Google Scholar
Boyle, K.J.Dichotomous Choice, Contingent Valuation Questions: Functional Form Is Important.” Northeastern Journal of Agricultural and Resource Economics 19 (1990): 125–31.CrossRefGoogle Scholar
Boyle, K.J., and Bishop, R.C.Welfare Measurements Using Contingent Valuation: A Comparison of Techniques.” American Journal of Agricultural Economics 70 (1988): 2028.Google Scholar
Cameron, T.A.A New Paradigm for Valuing Non-Market Goods Using Referendum Data: Maximum Likelihood Estimation by Censored Logistic Regression.” Journal of Environmental Economics and Management 15 (1988): 355–79.Google Scholar
Cameron, T.A., and James, M.Efficient Estimation Methods for ‘Closed Ended’ Contingent Valuation Surveys.” Review of Economics and Statistics 69 (1987): 269–79.Google Scholar
Carson, R.T., Carson, N., Alberini, A., Flores, N., and Wright, J.A Bibliography of Contingent Valuation Studies and Papers.” La Jolla: Natural Resources Damage Assessment, 1993.Google Scholar
Cordell, H.K., and Bergstrom, J.C.Comparison of Recreation Use Values among Alternative Reservoir Water-Level Management Scenarios.” Water Resources Research 29 (1993): 247–58.Google Scholar
Duffield, J.W., and Patterson, D.A.Inference and Optimal Design for a Welfare Measure in Dichotomous Choice Contingent Valuation.” Land Economics 67 (1991): 225–39.CrossRefGoogle Scholar
Greene, W.H. Econometric Analysis. New York: Macmillan, 1990.Google Scholar
Hanemann, W.M.Welfare Evaluations in Contingent Valuation Experiments with Discrete Responses.” American Journal of Agricultural Economics 66 (1984): 332–41.Google Scholar
Hanemann, W.M.Welfare Evaluations in Contingent Valuation Experiments with Discrete Response Data: Reply.” American Journal of Agricultural Economics 71 (1989): 1057–61.Google Scholar
Krinsky, I., and Robb, A.L.On Approximating the Statistical Properties of Elasticities.” Review of Economics and Statistics 68 (1986): 715–19.CrossRefGoogle Scholar
Loomis, J.B.Expanding Contingent Value Sample Estimates to Aggregate Benefit Estimates: Current Practices and Proposed Solutions.” Land Economics 63 (1987): 396402.Google Scholar
Mitchell, R.C., and Carson, R.T. Using Surveys to Value Public Goods: The Contingent Valuation Method. Washington, D.C.: Resources for the Future, 1989.Google Scholar
Park, T., and Loomis, J.Comparing Models for Contingent Valuation Surveys: Statistical Efficiency and the Precision of Benefit Estimates.” Northeastern Journal of Agricultural and Resource Economics 21 (1992): 170–76.CrossRefGoogle Scholar
Poe, G.L., Severence-Lossin, E.K., and Welsh, M.P.Measuring the Difference (X-Y) of Simulated Distributions: A Convolutions Approach.” American Journal of Agricultural Economics 76 (1994): 904–15.Google Scholar
Ready, Richard C., and Hu, Dayuan. “Statistical Approaches to the Fat Tail Problem for Dichotomous Choice Contingent Valuation.” Land Economics 71 (1995): 491–99.CrossRefGoogle Scholar
Reiling, S.D., Boyle, K.J., Cheng, H., and Phillips, M.L.Contingent Valuation of a Public Program to Control Black Flies.” Northeastern Journal of Agricultural and Resource Economics 18 (1989): 126–34.Google Scholar
Sellar, C., Stoll, J.R., and Chavas, J.P.Validation of Empirical Measures of Welfare Change: A Comparison of Techniques.” Land Economics 61 (1985): 156–75.Google Scholar
Stevens, T.H., Glass, R.J., More, T.A., and Echeverria, J.Wildlife Recovery: Is Benefit-Cost Analysis Appropriate?Journal of Environmental Economics and Management 33 (1991): 327–34.Google Scholar
Stevens, T.H., Echeverria, J., Glass, R.J., Hager, T., and More, T.A.Measuring Existence Value for Wildlife: What Do CVM Estimates Really Show?Land Economics 67 (1991): 390400.Google Scholar
Sun, H., Bergstrom, J.C., and Dorfman, J.H.Estimating the Benefits of Groundwater Contamination Control.” Southern Journal of Agricultural Economics 24 (1992): 6372.Google Scholar
Swallow, Stephen K., Weaver, Thomas, Opaluch, James J., and Michelman, Thomas S.Heterogeneous Preferences and Aggregation in Environmental Policy Analysis: A Landfill Siting Case.” American Journal of Agricultural Economics 76 (1994)431–43.Google Scholar
Teasley, R.J., Bergstrom, J.C., and Cordell, H.K.Estimating Revenue-Capture Potential Associated with Public Area Recreation.” Journal of Agricultural and Resource Economics 19 (1994): 89101.Google Scholar
USDA Forest Service. “Customer … Understanding Today's Recreating Public (Lolo National Forest).” Athens, Ga.: Southern Forest Experiment Station, Outdoor Recreation and Wilderness Assessment Group, 1992.Google Scholar