Skip to main content

Semiparametric Stepwise Regression to Estimate Sales Promotion Effects

  • Conference paper
From Data and Information Analysis to Knowledge Engineering

Abstract

Kalyanam and Shively (1998) and van Heerde et al. (2001) have proposed semiparametric models to estimate the influence of price promotions on brand sales, and both obtained superior performance for their models compared to strictly parametric modeling. Following these researchers, we suggest another semiparametric framework which is based on penalized B-splines to analyze sales promotion effects flexibly. Unlike these researchers, we introduce a stepwise procedure with simultaneous smoothing parameter choice for variable selection. Applying this stepwise routine enables us to deal with product categories with many competitive items without imposing restrictions on the competitive market structure in advance. We illustrate the new methodology in an empirical application using weekly store-level scanner data.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 159.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • BLATTBERG, R.C. and GEORGE, E.I. (1991): Shrinkage Estimation of Price and Promotional Elasticities. Journal of the American Statistical Association, 86(414), 304–315.

    Google Scholar 

  • DE BOOR, C. (1978): A Practical Guide to Splines. Springer, New York.

    Google Scholar 

  • EILERS, P.H.C. and MARX, B.D. (1996): Flexible smoothing using B-splines and penalized likelihood (with comments and rejoinder). Statistical Science, 11(2), 89–121.

    Article  MathSciNet  Google Scholar 

  • FOEKENS, E.W. (1995): Scanner Data Based Marketing Modelling: Empirical Applications. Labyrinth Publications, The Netherlands.

    Google Scholar 

  • HANSSENS, D.M., PARSONS L.J. and SCHULTZ, R.L. (2001): Market Response Models: Econometric and Time Series Analysis. Chapman & Hall, London.

    Google Scholar 

  • HASTIE, T. and TIBSHIRANI, R. (1990): Generalized Additive Models. Chapman & Hall, London.

    Google Scholar 

  • HRUSCHKA, H. (2004): Relevance of Functional Flexibility for Heterogeneous Sales Response Models. A Comparison of Parametric and Seminonparametric Models. Discussion Paper 394, Faculty of Economics, University of Regensburg.

    Google Scholar 

  • KALYANAM, K., SHIVELY, T.S. (1998): Estimating Irregular Pricing Effects: A Stochastic Spline Regression Approach. Journal of Marketing Research, 35(1), 16–29.

    Google Scholar 

  • LANG, S. and BREZGER, A. (2004): Bayesian P-splines. Journal of Computational and Graphical Statistics, 13, 183–212.

    Article  MathSciNet  Google Scholar 

  • MONTGOMERY, A.L. (1997): Creating Micro-Marketing Pricing Strategies Using Supermarket Scanner Data. Marketing Science, 16(4), 315–337.

    Google Scholar 

  • VAN HEERDE, H.J., LEEFLANG, P.S.H. and WITTINK, D.R. (2001): Semiparametric Analysis to Estimate the Deal Effect Curve. Journal of Marketing Research, 38(2), 197–215.

    Google Scholar 

  • VAN HEERDE, H.J., LEEFLANG, P.S.H. and WITTINK, D.R. (2002): How Promotions Work: SCAN*PRO-Based Evolutionary Model Building. Schmalenbach Business Review, 54(3), 198–220.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer Berlin · Heidelberg

About this paper

Cite this paper

Steiner, W.J., Belitz, C., Lang, S. (2006). Semiparametric Stepwise Regression to Estimate Sales Promotion Effects. In: Spiliopoulou, M., Kruse, R., Borgelt, C., Nürnberger, A., Gaul, W. (eds) From Data and Information Analysis to Knowledge Engineering. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31314-1_72

Download citation

Publish with us

Policies and ethics