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.
|Date of creation:||2004|
|Date of revision:|
|Contact details of provider:|| Postal: Department of Economics, The University of Melbourne, 4th Floor, FBE Building, Level 4, 111 Barry Street. Victoria, 3010, Australia|
Phone: +61 3 8344 5355
Fax: +61 3 8344 6899
Web page: http://fbe.unimelb.edu.au/economics
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
When requesting a correction, please mention this item's handle: RePEc:mlb:wpaper:906. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Katherine Perez)
If references are entirely missing, you can add them using this form.