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The Consequences of Systematic Sampling on Granger Causality

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Author Info
Tilak Abeysinghe
Gulasekaran Rajaguru

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Abstract

In applied econometric literature, the causal inferences are often made based on highly temporally aggregated or systematically sampled data. A number of theoretical studies have pointed out that temporal aggregation has distorting effects on causal inference and systematic sampling preserves the direction of causality. This paper examines the issue in detail by plugging in theoretical cross covariances into the limiting values of least squares estimates. The asymptotic distributions of the estimates of systematically sampled process are expressed in terms of the cross covariances of the disaggregated process. An extensive Monte Carlo study is conducted to examine small sample results. Quite contrary to the stationary case where systematic sampling preserves the direction of Granger causality, this paper shows that systematic sampling of integrated series may induce spurious causality, even if, they are used in differenced form. It is observed that in general the most distorting causal inferences are likely at low levels of aggregation where the order of sampling-span just exceeds the actual causal lag. It is found that if the uni-directional causality runs from a non-stationary series to a stationary or a non-stationary series, there is a high likelihood of detecting spurious bi-directional causality

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Publisher Info
Paper provided by Econometric Society in its series Econometric Society 2004 Australasian Meetings with number 250.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:ausm04:250

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Related research
Keywords: Systematic Sampling; Granger causality; Unit Roots; Cross covariance;

Find related papers by JEL classification:
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions
C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation

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This page was last updated on 2009-12-2.


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