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Abstract:
The paper discusses for the beginning graduate student the mathematical background and several approaches to converting nonlinear equations into log-deviations from the steady state format. Guidance is provided on when to use which approach. Pertinent examples with detailed derivations illustrate the material.

Log-linearization, log-deviations from the steady state, examples

Abstract:
OLS regression has typically been used in housing research to determine the relationship of a particular housing characteristic with selling price. Results differ across studies, not only in terms of size of OLS coefficients and statistical significance, but sometimes in direction of effect. This study suggests that some of the observed variation in the estimated prices of housing characteristics may reflect the fact that characteristics are not priced the same across a given distribution of house prices. To examine this issue, this study uses quantile regression, with and without accounting for spatial autocorrection, to identify the coefficients of a large set of diverse variables across different quantiles. The results show that purchasers of higher-priced homes value certain housing characteristics such as square footage and the number of bathrooms differently from buyers of lower-priced homes. Other variables such as age are also shown to vary across the distribution of house prices.

hedonic price function, quantile regression, spatial lag