Panel Data Hedonics: Rosen's First Stage and Difference-in-Differences as 'Sufficient Statistics'

61 Pages Posted: 28 Jan 2016 Last revised: 31 Jan 2016

H. Spencer Banzhaf

Georgia State University - Department of Economics; PERC - Property and Environment Research Center; National Bureau of Economic Research (NBER)

Date Written: August 1, 2015

Abstract

For decades, economists have used the hedonic model to estimate demands for the implicit characteristics of differentiated commodities. The traditional cross-sectional approach to hedonic estimation can recover marginal willingness to pay for characteristics, but has faltered over a difficult endogeneity problem when attempting non-marginal welfare measures. I show that when marginal prices can be reliably estimated, and when panel data on household demands is available, one can construct a second-order approximation to non-marginal welfare measures - using only the first-stage marginal prices. Under a single-crossing restriction, the approach re-mains valid for repeated cross sections of product prices.

More recently, economists have questioned the assumptions under which one can identify these cross-sectional hedonic price functions, raising the possibility of unobservables that are correlated with the characteristic of interest. To overcome this problem, they have introduced difference-in-differences econometric models to identify capitalization effects. Unfortunately, the interpretation of these effects has not been clearly perceived in the literature. I additionally show these capitalization effects are the "average direct unmediated effect" on prices of a change in characteristics, which can be interpreted as a movement along the ex post hedonic price function. This effect is a lower bound on Hicksian equivalent surplus.

Suggested Citation

Banzhaf , H. Spencer, Panel Data Hedonics: Rosen's First Stage and Difference-in-Differences as 'Sufficient Statistics' (August 1, 2015). Andrew Young School of Policy Studies Research Paper Series No. 16-04. Available at SSRN: https://ssrn.com/abstract=2723518 or http://dx.doi.org/10.2139/ssrn.2723518

H. Spencer Banzhaf (Contact Author)

Georgia State University - Department of Economics ( email )

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HOME PAGE: http://www2.gsu.edu/~prchsb/

PERC - Property and Environment Research Center

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