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Research Working Paper |
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In-Sample Tests of Predictive Ability: A New Approach By Todd E. Clark and Michael W.
McCracken
RWP 09-10 Abstract
This paper presents analytical, Monte Carlo, and empirical evidence
linking in-sample tests of predictive content and out-of-sample forecast
accuracy. Our approach focuses on the negative effect that finite-sample
estimation error has on forecast accuracy despite the presence of
significant population-level predictive content. Specifically, we derive
simple-to-use in-sample tests that test not only whether a particular
variable has predictive content but also whether this content is
estimated precisely enough to improve forecast accuracy. Our tests are
asymptotically non-central chi-square or non-central normal. We provide
a convenient bootstrap method for computing the relevant critical
values. In the Monte Carlo and empirical analysis, we compare the
effectiveness of our testing procedure with more common testing
procedures. |