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Monte Carlo Methodology and the Finite Sample Properties of Instrumental Variables Statistics for Testing Nested and Non-nested Hypotheses

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Author Info
Ericsson, Neil R

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Abstract

Using Monte Carlo methodology, this paper investigates the effect of dynamics and simultaneity on the finite sample properties of instrumental variables statistics for testing nested and nonnested hypotheses. Simple numerical-analytical formulae (response surfaces) are obtained which closely approximate the statistics' unknown size and power functions for a dynamic simultaneous-equations model. The analysis illustrates the value and limitations of asymptotic theory in interpreting finite sample properties. Two practical results arise. The F form and the Wald statistic is favored over its chi-squared form, and "large-sigma" and small "effective" sample size strongly affect the test of over-identifying restrictions and the Cox-type test. Copyright 1991 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 59 (1991)
Issue (Month): 5 (September)
Pages: 1249-77
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Handle: RePEc:ecm:emetrp:v:59:y:1991:i:5:p:1249-77

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  1. Lawrence J. Christiano & Wouter Den Haan, 1995. "Small sample properties of GMM for business cycle analysis," Staff Report 199, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  2. Steve Lawford, 2004. "Finite-sample quantiles of the Jarque-Bera test," Economics and Finance Discussion Papers 04-03, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
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  3. Neil R. Ericsson & James G. MacKinnon, 1999. "Distributions of error correction tests for cointegration," International Finance Discussion Papers 655, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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  4. Steve Lawford & Michalis P. Stamatogiannis, 2004. "The Finite-Sample Effects of VAR Dimensions on OLS Bias, OLS Variance, and Minimum MSE Estimators: Purely Nonstationary Case," Public Policy Discussion Papers 04-05, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
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  5. David Mandy & Carlos Martins-Filho, 2001. "Optimal Iv Estimation Of Systems With Stochastic Regressors And Var Disturbances With Applications To Dynamic Systems," Econometric Reviews, Taylor and Francis Journals, vol. 20(4), pages 485-505. [Downloadable!] (restricted)
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