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On Approximating the Statistical Properties of Elasticities

The Review of Economics and Statistics 1986 68(4), 715
Empirical studies of consumer demand or of factor demand have now moved far beyond the Cobb-Douglas functional form and elasticities of interest are no longer estimated as parameters of the system. Instead, such elasticities are typically non-linear functions of the parameters that have been estimated and it is natural to want to be able to say something about the statistical properties of such elasticities. One way of dealing with this is to linearly approximate the elasticity formulas (in terms of the estimated parameters) and use classical statistical procedures to get approximations to the underlying variances. If y-f(x) and x has a variance covariance matrix V, the linear approximation is given by: Var(y) (8f/8x)V(8f/8x). The data needed for such an approximation are estimates of the parameters and of the associated variance-covariance matrix. Some of the earliest references that we have found to uses of this approximation technique in the elasticity context are to Griffin and Gregory (1976), Griffin (1977), and Fuss (1977), while the earliest references to

Accounting for Seasonality with Spline Functions

The Review of Economics and Statistics 1980 62(2), 321
Truncated Normal, Econometrica 42 (Nov. 1974), 999-1011. Dagenais, Marcel, Application of a Threshold Regression Model to Household Purchases of Automobiles, this REVIEW 57 (Aug. 1975), 275-285. Goldfeld, Stephen, and Richard Quandt, Estimation in a Disequilibrium Model and the Value of Information, Journal of Econometrics 3 (1975), 325-348. Hausman, Jerry, and David Wise, Evaluation of Results from Truncated Samples: The New Jersey Income Maintenance Experiment, Annals of Economic and Measurement 5 (1976), 421-445. , Social Experimentation, Truncated Distributions, and Efficient Estimation, Econometrica 45 (May 1977), 919-938. Heckman, James, Shadow Prices, Market Wages, and Labor Supply, Econometrica 42 (July 1974), 679694. , Common Structure of Statistical Models of Truncation, Sample Selection, and Limited Dependent Variables and a Simple Estimator for Such Models, Annals of Economic and Measurement 5 (1976), 475-492. Keeley, Michael, Philip Robins, Robert Spiegelman, and Richard West, Labor Supply Effects and Costs of Alternative Negative Income Tax Programs, Journal of Human Resources 13 (Winter 1978), 3-36. Nelson, Forrest, Censored Regression Models with Unobserved, Stochastic Censoring Thresholds, Journal of Econometrics 6 (1977), 309-327. Rosen, Harvey, Taxes in a Labor Supply Model with Joint Wage-Hours Determination, Econometrica 44 (May 1976), 485-507. Rosett, Richard, and Forrest Nelson, Estimation of the Two-Limit Probit Regression Model, Econometrica 43 (Jan. 1975), 141-146. Shishko, Robert, and Bernard Rostker, Economics of Multiple Job Holding, American Economic Review 66 (June 1976), 298-308. Tobin, James, Estimation of Relationships for Limited Dependent Variables, Econometrica 26 (Jan. 1958), 24-36.

The Wage Premium to a University Education in Canada, 1971-1991

Journal of Labor Economics 1995 13(4), 762-794
Using micro data from the Canadian Survey of Consumer Finances, 1971-91, we investigate the return to a university education. Our conclusions are that while there appears to have been some decline in the return to a university degree during the 1970s in Canada (similar to the United States), the return did not rebound much during the 1980s except among the youngest experience (age) group. There is, however, considerable noise in the ratios from year to year so that one is likely to draw misleading inferences if only a few years of data are used.