Revenue-based attribution modeling for online advertising

This article examines and proposes several attribution models that quantify how revenue should be attributed to online advertising inputs. We adopt and further develop relative importance methods, which are based on regression models that have been extensively studied and utilized to investigate the relationship between advertising efforts and market reaction (revenue). The relative importance methods aim at decomposing and allocating marginal contributions to the coefficient of determination (R2) of the regression models as attribution values. In particular, we adopt two alternative submethods to perform this decomposition: dominance analysis and relative weight analysis. Moreover, we demonstrate an extension of the decomposition methods from standard linear models to additive models. We claim that our new approaches are more flexible and accurate in modeling the underlying relationship and quantifying the attribution values. We use simulation examples to demonstrate the superior performance of our new approaches to traditional methods. We further illustrate the value of our proposed approaches using a real advertising campaign data set.

[1]  Philip Wolfe,et al.  Contributions to the theory of games , 1953 .

[2]  Vibhanshu Abhishek,et al.  Media Exposure through the Funnel: A Model of Multi-Stage Attribution , 2012 .

[3]  David Ruppert,et al.  Additive Partial Linear Models with Measurement Errors. , 2008, Biometrika.

[4]  J. W. Johnson A Heuristic Method for Estimating the Relative Weight of Predictor Variables in Multiple Regression , 2000, Multivariate behavioral research.

[5]  Ariel Rubinstein,et al.  A Course in Game Theory , 1995 .

[6]  Asim Ansari,et al.  A nested logit model of brand choice incorporating variety-seeking and marketing-mix variables , 1995 .

[7]  Lijian Yang,et al.  Spline-backfitted kernel smoothing of partially linear additive model , 2011 .

[8]  Stanley R. Johnson,et al.  Varying Coefficient Models , 1984 .

[9]  Catherine Tucker,et al.  The Implications of Improved Attribution and Measurability for Antitrust and Privacy in Online Advertising Markets , 2013 .

[10]  D. Budescu,et al.  The dominance analysis approach for comparing predictors in multiple regression. , 2003, Psychological methods.

[11]  K. Raman,et al.  Planning Marketing-Mix Strategies in the Presence of Interaction Effects , 2005 .

[12]  R. Tibshirani,et al.  Generalized Additive Models , 1986 .

[13]  Thorsten Wiesel,et al.  Practice Prize Paper - Marketing's Profit Impact: Quantifying Online and Off-line Funnel Progression , 2011, Mark. Sci..

[14]  Lexin Li,et al.  Data-driven multi-touch attribution models , 2011, KDD.

[15]  Ting-Chun Wang,et al.  Texts in Statistics An Introduction to Statistical Learning , 2017 .

[16]  Heng Lian,et al.  Variational inferences for partially linear additive models with variable selection , 2014, Comput. Stat. Data Anal..

[17]  C. R. Deboor,et al.  A practical guide to splines , 1978 .

[18]  Foster Provost,et al.  Causally motivated attribution for online advertising , 2012, ADKDD '12.

[19]  Trevor Hastie,et al.  An Introduction to Statistical Learning , 2013, Springer Texts in Statistics.

[20]  W. DeSarbo,et al.  An Empirical Pooling Approach for Estimating Marketing Mix Elasticities with PIMS Data , 1993 .

[21]  P. Hoffman The paramorphic representation of clinical judgment. , 1960, Psychological bulletin.

[22]  James M. LeBreton,et al.  Relative Importance Analysis: A Useful Supplement to Regression Analysis , 2011 .

[23]  James M. LeBreton,et al.  History and Use of Relative Importance Indices in Organizational Research , 2004 .

[24]  Jianqing Fan,et al.  Statistical Methods with Varying Coefficient Models. , 2008, Statistics and its interface.

[25]  D. Budescu Dominance analysis: A new approach to the problem of relative importance of predictors in multiple regression. , 1993 .

[26]  P. Green,et al.  Research for Marketing Decisions. , 1967 .

[27]  Yogesh V. Joshi,et al.  Attributing Conversions in a Multichannel Online Marketing Environment : An Empirical Model and a Field Experiment , 2014 .

[28]  U. Grömping Estimators of Relative Importance in Linear Regression Based on Variance Decomposition , 2007 .

[29]  Shiv Kumar Saini,et al.  A Non-parametric Approach to the Multi-channel Attribution Problem , 2015, WISE.

[30]  Jonathan D. Cryer,et al.  Time Series Analysis , 1986 .

[31]  P. M. Cain Marketing Mix Modelling and Return on Investment , 2010 .