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A New Asymmetric Interaction Ridge (AIR) Regression Method


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  • Månsson, Kristofer

    (The Swedish Retail Institute)

  • Shukur, Ghazi

    (The Swedish Retail Institute)

  • Sjölander, Pär

    (The Swedish Retail Institute)


Despite that interaction terms are standard tools of regression analysis, the side effects of the inclusion of these terms in models estimated by ordinary least squares (OLS) are yet not fully penetrated. The inclusion of interaction effects induces multicollinearity problems since all non-zero values are equal between the interaction term and the regressor. In this article we propose a procedure to remedy this problem by the use of new ridge regression (RR) shrinkage parameters – which we call the asymmetric interaction ridge (AIR) regression method. By means of Monte Carlo simulations we evaluate both OLS and AIR using the mean square error (MSE) performance criterion. The result from the simulation study confirms our hypothesis that AIR always should be preferred to OLS since it has a lower estimated MSE. Moreover, the advantages of our new method is demonstrated in an empirical application where positive asymmetric price transmission effects are exposed for the mortgage interest rates of Handelsbanken Stadshypotek. It is observed that the mortgage interest rates increase more fully and rapidly to an increase in the bank’s borrowing costs than to a decrease. This asymmetry is defined as positive asymmetric price transmission (APT).

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Bibliographic Info

Paper provided by HUI Research in its series HUI Working Papers with number 54.

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Length: 19 pages
Date of creation: 15 Feb 2012
Date of revision:
Handle: RePEc:hhs:huiwps:0054

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Keywords: OLS; multicollinearity; regression analysis;

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  1. Meyer, Jochen & von Cramon-Taubadel, Stephan, 2002. "Asymmetric Price Transmission: A Survey," 2002 International Congress, August 28-31, 2002, Zaragoza, Spain 24822, European Association of Agricultural Economists.
  2. Alkhamisi, M.A. & Shukur, Ghazi, 2007. "Developing Ridge Parameters for SUR Models," Working Paper Series in Economics and Institutions of Innovation 80, Royal Institute of Technology, CESIS - Centre of Excellence for Science and Innovation Studies.
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