The empirical results presented in this paper demonstrate the usefulness of quadriatic models in the estimation of hedonic price functions. We propose a quadriatic semi-log model, a restricted case of the quadriatic Box-Cox model, whose standardized marginal attribute prices are linear functions of the attribute vector. This specification outperforms the linear Box-Cox specification in terms of explanatory power, and captures much of the increase in explanatory power provided by the quadriatic Box-Cox model without the corresponding loss in the ability to interpret the coefficient estimates. For policy applications, the quadriatic Semi-log model provides a useful alternative to linear specification.
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Rasmussen et al. (1990) studied this question.
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