Inferences for the Extremum of Quadratic Regression Models
Quadratic functions are often used in regression to infer the existence of an extremum in a relationship although tests of the location of the extremum are rarely performed. We investigate the construction of the following confidence intervals: Delta, Fieller, estimated first derivative, bootstrapping, Bayesian and likelihood ratio. We propose interpretations for the unbounded intervals that may be generated by some of these methods. The coverage of the confidence intervals is assessed by Monte Carlo; the Delta and studentized bootstrap can perform quite poorly. Of all the methods, the first derivative method is easiest to implement.
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- Hsing, Yu, 1996. "Estimating the laffer curve and policy implications," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 25(3), pages 395-401.
- Herbert G. Thompson, Jr. & Lynda L. Wolf, 1993. "Regional Differences in Nuclear and Fossil-Fuel Generation of Electricity," Land Economics, University of Wisconsin Press, vol. 69(3), pages 234-248.
- Hirschberg, J. & Lye, J.N., 2000.
"Alcohol Consumption, Smoking and Wages,"
Department of Economics - Working Papers Series
764, The University of Melbourne.
- Zellner, Arnold, 1978. "Estimation of functions of population means and regression coefficients including structural coefficients : A minimum expected loss (MELO) approach," Journal of Econometrics, Elsevier, vol. 8(2), pages 127-158, October.
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