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Admissible Invariant Similar Tests for Instrumental Variables Regression
Victor Chernozhukov, Christian Hansen and Michael Jansson
Vol. 25, No. 3 (Jun., 2009), pp. 806-818
Published by: Cambridge University Press
Stable URL: http://www.jstor.org/stable/20532466
Page Count: 13
You can always find the topics here!Topics: Economic theory, Theoretical econometrics, Economic modeling, Mathematical functions, Power functions, Mathematical theorems, Instrumental variables, Economic statistics, Ratio test, Statistics
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This paper studies a model widely used in the weak instruments literature and establishes admissibility of the weighted average power likelihood ratio tests recently derived by Andrews, Moreira, and Stock (2004, NBER Technical Working Paper 199). The class of tests covered by this admissibility result contains the Anderson and Rubin (1949, "Annals of Mathematical Statistics" 20, 46-63) test. Thus, there is no conventional statistical sense in which the Anderson and Rubin (1949) test "wastes degrees of freedom." In addition, it is shown that the test proposed by Moreira (2003, "Econometrica" 71, 1027-1048) belongs to the closure of (i.e., can be interpreted as a limiting case of) the class of tests covered by our admissibility result.
Econometric Theory © 2009 Cambridge University Press