*Disproving Causal Relationships Using Observational Data

Economic theory is replete with causal hypotheses that are scarcely tested because economists are generally constrained to work with observational data. We describe a method for testing a hypothesis that one observed random variable causes another. Contingent on a sufficiently strong correspondence between the two variables, an appropriately related third variable can be employed for the test. The logic of the procedure naturally suggests strong and weak grounds for rejecting the causal hypothesis. Monte Carlo results suggest that weakly grounded rejections are unreliable for small samples, but reasonably reliable for large samples. Strongly grounded rejections are highly reliable, even for small samples.

[1]  Illtyd Trethowan.  Causality , 1938 .

[2]  T. Haavelmo,et al.  The probability approach in econometrics , 1944 .

[3]  O. Penrose.  The Direction of Time , 1962 .

[4]  S. Peltzman.  The Effects of Automobile Safety Regulation , 1975, Journal of Political Economy.

[5]  G. Schwarz.  Estimating the Dimension of a Model , 1978 .

[6]  M. Blaug.  The Methodology of Economics , 1981 .

[7]  D. Hausman.  Are There Causal Relations among Dependent Variables? , 1983, Philosophy of Science.

[8]  Anil K. Bera,et al.  A test for normality of observations and regression residuals , 1987 .

[9]  Thomas S. Richardson,et al.  Causal Inference in the Presence of Latent Variables and Selection Bias , 1995, UAI.

[10]  Thomas S. Richardson,et al.  A Discovery Algorithm for Directed Cyclic Graphs , 1996, UAI.

[11]  Norman R. Swanson,et al.  Impulse Response Functions Based on a Causal Approach to Residual Orthogonalization in Vector Autoregressions , 1997 .

[12]  D. Bessler,et al.  Modeling Corn Exports and Exchange Rates with Directed Graphs and Statistical Loss Functions , 1999 .

[13]  Mtw,et al.  Computation, causation, and discovery , 2000 .

[14]  K. Hoover.  Causality in Macroeconomics , 2001 .

[15]  David A. Bessler,et al.  Money and prices: U.S. Data 1869–1914 (A study with directed graphs) , 2002 .

[16]  D. Bessler,et al.  Causality And Price Discovery: An Application Of Directed Acyclic Graphs , 2004 .

[17]  Tom Burr,et al.  Causation, Prediction, and Search , 2003, Technometrics.

[18]  C. Glymour,et al.  Making Things Happen: A Theory of Causal Explanation , 2004 .

[19]  K. Hoover,et al.  Searching for the Causal Structure of a Vector Autoregression , 2003 .

[20]  J. Reiss.  Practice ahead of theory: instrumental variables, natural experiments and inductivism in econometrics , 2003 .

[21]  N. Cartwright,et al.  Uncertainty in econometrics: evaluating policy counterfactuals , 2004 .

[22]  Anja Vogler,et al.  An Introduction to Multivariate Statistical Analysis , 2004 .

[23]  K. Hoover,et al.  AUTOMATIC INFERENCE OF THE CONTEMPORANEOUS CAUSAL ORDER OF A SYSTEM OF EQUATIONS , 2004, Econometric Theory.

[24]  Richard Scheines,et al.  The Similarity of Causal Inference in Experimental and Non‐experimental Studies , 2005, Philosophy of Science.

[25]  D. Danks.  Scientific Coherence and the Fusion of Experimental Results , 2005, The British Journal for the Philosophy of Science.

[26]  K. Hoover,et al.  A Bootstrap Method for Identifying and Evaluating a Structural Vector Autoregression , 2006 .

[27]  M. Drton,et al.  Multiple Testing and Error Control in Gaussian Graphical Model Selection , 2005, math/0508267.

[28]  H. White,et al.  An Extended Class of Instrumental Variables for the Estimation of Causal Effects , 2011 .

[29]  Alessio Moneta,et al.  Graphical causal models and VARs: an empirical assessment of the real business cycles hypothesis , 2008 .