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A New Ridge Regression Causality Test in the Presence of Multicollinearity

Author

Listed:
  • Månsson, Kristofer

    (The Swedish Retail Institute (HUI Research))

  • Shukur, Ghazi

    (The Swedish Retail Institute (HUI Research))

  • Sjölander, Pär

    (The Swedish Retail Institute (HUI Research))

Abstract

This paper analyzes and compares the properties of the most commonly applied versions of the Granger causality (GC) test to a new ridge regression GC test (RRGC), in the presence of multicollinearity. The investigation has been carried out using Monte Carlo simulations. A large number of models have been investigated where the number of observations, strength of collinearity, and data generating processes have been varied. For each model we have performed 10000 replications and studied seven different versions of the test. The main conclusion from our study is that the traditional OLS version of the GC test over-rejects the true null hypothesis when there are relatively high (but empirically common levels of) multicollinearity, while it is established that the new RRGC test will remedy or substantially decrease this problem.

Suggested Citation

  • Månsson, Kristofer & Shukur, Ghazi & Sjölander, Pär, 2010. "A New Ridge Regression Causality Test in the Presence of Multicollinearity," HUI Working Papers 37, HUI Research.
    • Handle: RePEc:hhs:huiwps:0037
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    References listed on IDEAS

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    1. Hacker, R. Scott & Karlsson, Hyunjoo Kim & Månsson, Kristofer, 2014. "An investigation of the causal relations between exchange rates and interest rate differentials using wavelets," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 321-329.
    2. Ramsey, James B. & Lampart, Camille, 1998. "Decomposition Of Economic Relationships By Timescale Using Wavelets," Macroeconomic Dynamics, Cambridge University Press, vol. 2(1), pages 49-71, March.
    3. Granger, C. W. J. & Newbold, Paul, 1986. "Forecasting Economic Time Series," Elsevier Monographs, Elsevier, edition 2, number 9780122951831 edited by Shell, Karl.
    4. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-438, July.
    5. Abdullah Almasri & Ghazi Shukur, 2003. "An illustration of the causality relation between government spending and revenue using wavelet analysis on Finnish data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(5), pages 571-584.
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    More about this item

    Keywords

    Granger causality test; multicollinearity; ridge parameters; size and power;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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