Abstract
Dynamic multivariate models have become popular in analyzing the behavior of competitive marketing systems because they are capable of incorporating all the relationships in a competitive marketing environment. In this paper we consider VAR models, the most frequently used dynamic multivariate models. The drawback of VAR models is that a large number of parameters have to be estimated. The problem has been addressed in several articles and the usual solution is to treat only the variables of interest as endogenous while the other variables are usually included exogenously without dynamic effects. This treatment imposes restrictions on the marketing system, which requires preliminary analysis. We propose to use canonical correlation for this purpose. Canonical correlation analysis and its associated Wiener-Granger causality testing based on the canonical correlation coefficients are useful tools to test the existence of structural relationships between (lagged) consumer response and (lagged) marketing instruments. The tools are applied on data of market shares and marketing instruments in a market of a frequently purchased consumer goods.
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References
Dekimpe, M.G., and Hanssens, D.M. (1995). ''The Persistence of Marketing Effects on Sales,'' Marketing Science, 14, 1–21.
Dekimpe, M.G., and Hanssens, D.M. (1999). ''Sustained Spending and Persistent Response: A New Look at Long-term Marketing Profitability,'' Journal of Marketing Research, 36, 397–412.
Dekimpe, M.G., and Hanssens, D.M. (2000). ''Time-series Models in Marketing: Past, Present and Future,'' International Journal of Research in Marketing, 17, 183–193.
Dekimpe, M.G., Hanssens, D.M., and Silva-Risso, J.M. (1999). ''Long-run Effects of Price Promotions in Scanner Markets,'' Journal of Econometrics, 89, 269–291.
Geweke, J. (1982). ''Measurement of Linear Dependence and Feedback Between Multiple Time Series,'' Journal of the American Statistical Association, 77, 323–324.
Geweke, J., Meese, R., and Dent, W. (1983). ''Comparing Alternative Tests of Causality in Temporal Systems: Analytic Results and Experimental Evidence,'' Journal of Econometrics, 21, 161–194.
Green, P.E., Tull, D.S., and Albaum, G. (1988). Research for Marketing Decisions. Englewood Cliffs, N.J.: Prentice Hall.
Hanssens, D.M. (1980). ''Market Response, Competitive Behavior, and Time Series Analysis,'' Journal of Marketing Research, 27, 470–485.
Horváth, C., Leeflang, P.S.H., and Wittink, D.R. (2001). Dynamic Analysis of a Competitive Marketing System. Paper presented at the MSI Conference on Competitive Responsiveness, Boston.
Hotelling, H. (1936). ''Relations Between Two Sets of Variables,'' Biometrika.
Leeflang, P.S.H., and Wittiuk, D.R. (1992). ''Diagnosing Competitive Reactions Using (Aggregated) Scanner Data,'' International Journal of Research in Marketing, 9, 39–57.
Leeflang, P.S.H., and Wittink, D.R. (1996). ''Competitive Reaction Versus Consumer Response: Do Managers Overreact?,'' International Journal of Research in Marketing, 13, 103–119.
Leeflang, P.S.H., and Wittink, D.R. (2000). ''Building Models for Marketing Decisions: Past, Present and Future,'' International Journal of Research in Marketing, 17, 105–126.
Leeflang, P.S.H., Wittink, D.R., Wedel, M., and Naert, P.A. (2000). Building Models for Marketing Decisions. Kluwer Academic Publishers, Dordrecht, The Netherlands.
Nijs, V.R., Dekimpe, M.G., Steenkamp, J.-B.E.M., and Hanssens, D.M. (2001). ''The Category-Demand Effects of Price Promotions,'' Marketing Science, 20, 1–22.
Otter, P.W. (1990). ''Canonical Correlation Analysis in Multivariate Time Series Analysis with an Application to One-year-ahead and Multiyear-ahead Macroeconomic Forecasting,'' Journal of Business and Economic Statistics, 8, 453–457.
Otter, P.W. (1991). ''On Wiener-Granger Causality, Information and Canonical Correlation,'' Economics Letters, 35, 187–191.
Parsons, L.J., and Schultz, R.L. (1976). Marketing Models and Econometric Research. Amsterdam: North Holland Publishing Company.
Sims, C. A. (1980). ''Macroeconomics and Reality,'' Econometrica, 48, 1–48.
Srinivasan, S., and Bass, F.M. (2001). Diagnosing Competitive Responsiveness: Disentangling Retailer-Induced and Manufacturer-Induced Actions. Paper presented at the MSI Conference on Competitive Responsiveness, Boston.
Srinivasan, S., Leszczyc, P.T.L.P., and Bass, F.M. (2000). ''Market Share Response and Competitive Interaction: The Impact of Temporary, Evolving and Structural Changes in Prices,'' International Journal of Research in Marketing, 17, 281–305.
Takada, H., and Bass, F.M. (1998). ''Multiple Time Series Analysis of Competitive Marketing Behavior,'' Journal of Business Research, 43, 97–107.
Thompson, B. (1984). Canonical Correlation Analysis: Uses and Interpretation. Beverly Hills [etc.]: Sage Publications.
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HORVÁTH, C., LEEFLANG, P.S. & OTTER, P.W. Canonical Correlation Analysis and Wiener-Granger Causality Tests: Useful Tools for the Specification of VAR Models. Marketing Letters 13, 53–66 (2002). https://doi.org/10.1023/A:1015015210182
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DOI: https://doi.org/10.1023/A:1015015210182