Testing Conditional Independence Restrictions
Oliver Linton and
Pedro Gozalo
Econometric Reviews, 2014, vol. 33, issue 5-6, 523-552
Abstract:
We propose a nonparametric test of the hypothesis of conditional independence between variables of interest based on a generalization of the empirical distribution function. This hypothesis is of interest both for model specification purposes, parametric and semiparametric, and for nonmodel-based testing of economic hypotheses. We allow for both discrete variables and estimated parameters. The asymptotic null distribution of the test statistic is a functional of a Gaussian process. A bootstrap procedure is proposed for calculating the critical values. Our test has power against alternatives at distance n -super-&minus1/2 from the null; this result holding independently of dimension. Monte Carlo simulations provide evidence on size and power.
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:taf:emetrv:v:33:y:2014:i:5-6:p:523-552
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DOI: 10.1080/07474938.2013.825135
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