Predictive accuracy of simple versus complex econometric market share models: Theoretical and empirical results

Abstract While econometric market share models have been shown to be useful to managers as descriptive tools, controversy exists over their use in forecasting. For instance, Brodie and de Kluyver (1987) showed, using data for 15 brands in three markets, that naive forecasting will often do better than econometric models when predicting market share. In the discussion of the paper Hagerty (1987) showed theoretically that these results were not surprising. This paper extends the analysis of Hagerty (1986, 1987) by deriving conditions under which naive econometric models are expected to do better than complex models when predicting market share. The results show that the naive model is preferred when the number of parameters used in the econometric model is too large or when the number of points used to fit the models is too small. We also show that the decision to go for the naive or econometric model is not greatly influenced by the number of points withheld for model validation, under the assumption of similarity of correlations between predictor variables in the estimation and validation data.

[1]  Dominique M. Hanssens,et al.  Market Response Models: Econometric and Time Series Analysis , 1989 .

[2]  Toshihisa Toyoda,et al.  Pre-testing on part of the data , 1979 .

[3]  Frank M. Bass,et al.  Misspecification and the inherent randomness of the model are at the heart of the Brodie and de Kluyver enigma , 1987 .

[4]  J. Copas Regression, Prediction and Shrinkage , 1983 .

[5]  Cornelis A. de Kluyver,et al.  A comparison of the short term forecasting accuracy of econometric and naive extrapolation models of market share , 1987 .

[6]  G. Erickson Marketing managers need more than forecasting accuracy , 1987 .

[7]  Michael W. Browne A COMPARISON OF SINGLE SAMPLE AND CROSS‐VALIDATION METHODS FOR ESTIMATING THE MEAN SQUARED ERROR OF PREDICTION IN MULTIPLE LINEAR REGRESSION , 1975 .

[8]  Michael R. Hagerty,et al.  The Cost of Simplifying Preference Models , 1986 .

[9]  D. Aaker,et al.  The sophistication of naive modeling , 1987 .

[10]  Dick R. Wittink,et al.  Causal market share models in marketing: Neither forecasting nor understanding? , 1987 .

[11]  F. Graybill,et al.  Matrices with Applications in Statistics. , 1984 .

[12]  J. Scott Armstrong,et al.  Evaluation of Extrapolative Forecasting Methods: Results of a Survey of Academicians and Practitioners , 1982 .

[13]  Timothy B. Heath,et al.  A comparative study of market share models using disaggregate data , 1990 .

[14]  Michael R. Hagerty,et al.  Conditions under which econometric models will outperform naive models , 1987 .