IDEAS home Printed from https://ideas.repec.org/a/kap/qmktec/v10y2012i4p453-474.html
   My bibliography  Save this article

Augmenting discrete-choice data to identify common preference scales for inter-subject analyses

Author

Listed:
  • Lynd Bacon
  • Peter Lenk

Abstract

Discrete-choice experiments are commonly used to measure subjects’ preference structures and are often preferred to other measurement methods because they better align with actual choice behavior and avoid some of the well-documented biases inherent in alternative elicitation methods. A limitation of discrete-choice methods is the loss of inter-subject comparability because preference estimates are invariant to linear transformations necessitating indentifying constraints that remove a common, between-subjects utility scale. This constraint limits the application of discrete-choice results to situations where within-subject comparisons are meaningful. They enable one to sort options for each subject but not to sort subjects according to the relative intensity of their preferences. This paper uses auxiliary data to recover a common preference scale for between-subject comparisons. The model combines discrete-choice data with ratings data while adjusting for response biases due to method effects. The joint model moves the identification constraints from the sub-model for the discrete-choice data to the sub-model for the ratings data. The proposed methodology is complementary to willingness-to-pay computations when studies lack price or its economic foundation is untenable. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Lynd Bacon & Peter Lenk, 2012. "Augmenting discrete-choice data to identify common preference scales for inter-subject analyses," Quantitative Marketing and Economics (QME), Springer, vol. 10(4), pages 453-474, December.
  • Handle: RePEc:kap:qmktec:v:10:y:2012:i:4:p:453-474
    DOI: 10.1007/s11129-012-9124-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11129-012-9124-9
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11129-012-9124-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rossi P. E & Gilula Z. & Allenby G. M, 2001. "Overcoming Scale Usage Heterogeneity: A Bayesian Hierarchical Approach," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 20-31, March.
    2. Dipak C. Jain & Naufel J. Vilcassim, 1991. "Investigating Household Purchase Timing Decisions: A Conditional Hazard Function Approach," Marketing Science, INFORMS, vol. 10(1), pages 1-23.
    3. Kanninen Barbara J., 1995. "Bias in Discrete Response Contingent Valuation," Journal of Environmental Economics and Management, Elsevier, vol. 28(1), pages 114-125, January.
    4. Hausman, Jerry A & Wise, David A, 1978. "A Conditional Probit Model for Qualitative Choice: Discrete Decisions Recognizing Interdependence and Heterogeneous Preferences," Econometrica, Econometric Society, vol. 46(2), pages 403-426, March.
    5. Neeraj Arora & Greg M. Allenby & James L. Ginter, 1998. "A Hierarchical Bayes Model of Primary and Secondary Demand," Marketing Science, INFORMS, vol. 17(1), pages 29-44.
    6. Roe, Brian & Boyle, Kevin J. & Teisl, Mario F., 1996. "Using Conjoint Analysis to Derive Estimates of Compensating Variation," Journal of Environmental Economics and Management, Elsevier, vol. 31(2), pages 145-159, September.
    7. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1133-1165.
    8. Tversky, Amos & Slovic, Paul & Kahneman, Daniel, 1990. "The Causes of Preference Reversal," American Economic Review, American Economic Association, vol. 80(1), pages 204-217, March.
    9. Mandy Ryan & Sarah Wordsworth, 2000. "Sensitivity of Willingness to Pay Estimates to the Level of Attributes in Discrete Choice Experiments," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(5), pages 504-524, November.
    10. Timothy J. Gilbride & Peter J. Lenk & Jeff D. Brazell, 2008. "Market Share Constraints and the Loss Function in Choice-Based Conjoint Analysis," Marketing Science, INFORMS, vol. 27(6), pages 995-1011, 11-12.
    11. Garrett Sonnier & Andrew Ainslie & Thomas Otter, 2007. "Heterogeneity distributions of willingness-to-pay in choice models," Quantitative Marketing and Economics (QME), Springer, vol. 5(3), pages 313-331, September.
    12. Hsee, Christopher K., 1996. "The Evaluability Hypothesis: An Explanation for Preference Reversals between Joint and Separate Evaluations of Alternatives," Organizational Behavior and Human Decision Processes, Elsevier, vol. 67(3), pages 247-257, September.
    13. Jayson L. Lusk & Ted C. Schroeder, 2004. "Are Choice Experiments Incentive Compatible? A Test with Quality Differentiated Beef Steaks," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(2), pages 467-482.
    14. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387, November.
    15. Slovic, Paul & Lichtenstein, Sarah, 1983. "Preference Reversals: A Broader Perspective," American Economic Review, American Economic Association, vol. 73(4), pages 596-605, September.
    16. Peter Lenk & Wayne DeSarbo, 2000. "Bayesian inference for finite mixtures of generalized linear models with random effects," Psychometrika, Springer;The Psychometric Society, vol. 65(1), pages 93-119, March.
    17. Peter E. Rossi & Robert E. McCulloch & Greg M. Allenby, 1996. "The Value of Purchase History Data in Target Marketing," Marketing Science, INFORMS, vol. 15(4), pages 321-340.
    18. Denzil G. Fiebig & Michael P. Keane & Jordan Louviere & Nada Wasi, 2010. "The Generalized Multinomial Logit Model: Accounting for Scale and Coefficient Heterogeneity," Marketing Science, INFORMS, vol. 29(3), pages 393-421, 05-06.
    19. W. Michael Hanemann, 1984. "Welfare Evaluations in Contingent Valuation Experiments with Discrete Responses," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 66(3), pages 332-341.
    20. Vatn Arild & Bromley Daniel W., 1994. "Choices without Prices without Apologies," Journal of Environmental Economics and Management, Elsevier, vol. 26(2), pages 129-148, March.
    21. Timothy Johnson, 2003. "On the use of heterogeneous thresholds ordinal regression models to account for individual differences in response style," Psychometrika, Springer;The Psychometric Society, vol. 68(4), pages 563-583, December.
    22. Nobile, Agostino, 2000. "Comment: Bayesian multinomial probit models with a normalization constraint," Journal of Econometrics, Elsevier, vol. 99(2), pages 335-345, December.
    23. McCulloch, Robert & Rossi, Peter E., 1994. "An exact likelihood analysis of the multinomial probit model," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 207-240.
    24. Daniel McFadden, 1994. "Contingent Valuation and Social Choice," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(4), pages 689-708.
    25. Ryan, Mandy & Wordsworth, Sarah, 2000. "Sensitivity of Willingness to Pay Estimates to the Level of Attributes in Discrete Choice Experiments," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(5), pages 504-524, November.
    26. Grether, David M & Plott, Charles R, 1979. "Economic Theory of Choice and the Preference Reversal Phenomenon," American Economic Review, American Economic Association, vol. 69(4), pages 623-638, September.
    27. Paul E. Green & Abba M. Krieger & Yoram Wind, 2001. "Thirty Years of Conjoint Analysis: Reflections and Prospects," Interfaces, INFORMS, vol. 31(3_supplem), pages 56-73, June.
    28. Asim Ansari & Raghuram Iyengar, 2006. "Semiparametric Thurstonian Models for Recurrent Choices: A Bayesian Analysis," Psychometrika, Springer;The Psychometric Society, vol. 71(4), pages 631-657, December.
    29. Peter J. Lenk & Wayne S. DeSarbo & Paul E. Green & Martin R. Young, 1996. "Hierarchical Bayes Conjoint Analysis: Recovery of Partworth Heterogeneity from Reduced Experimental Designs," Marketing Science, INFORMS, vol. 15(2), pages 173-191.
    30. Kim, Jaehwan & Allenby, Greg M. & Rossi, Peter E., 2007. "Product attributes and models of multiple discreteness," Journal of Econometrics, Elsevier, vol. 138(1), pages 208-230, May.
    31. Robert Zeithammer & Peter Lenk, 2006. "Bayesian estimation of multivariate-normal models when dimensions are absent," Quantitative Marketing and Economics (QME), Springer, vol. 4(3), pages 241-265, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nino Hardt & Alex Varbanov & Greg M. Allenby, 2016. "Monetizing Ratings Data for Product Research," Marketing Science, INFORMS, vol. 35(5), pages 713-726, September.
    2. Zhang, Jing & Reed Johnson, F. & Mohamed, Ateesha F. & Hauber, A. Brett, 2015. "Too many attributes: A test of the validity of combining discrete-choice and best–worst scaling data," Journal of choice modelling, Elsevier, vol. 15(C), pages 1-13.
    3. Peter Lenk, 2014. "Bayesian estimation of random utility models," Chapters, in: Stephane Hess & Andrew Daly (ed.), Handbook of Choice Modelling, chapter 20, pages 457-497, Edward Elgar Publishing.
    4. Tatiana Dyachenko & Rebecca Walker Reczek & Greg M. Allenby, 2014. "Models of Sequential Evaluation in Best-Worst Choice Tasks," Marketing Science, INFORMS, vol. 33(6), pages 828-848, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Peter E. Rossi & Greg M. Allenby, 2003. "Bayesian Statistics and Marketing," Marketing Science, INFORMS, vol. 22(3), pages 304-328, July.
    2. Peter Lenk, 2014. "Bayesian estimation of random utility models," Chapters, in: Stephane Hess & Andrew Daly (ed.), Handbook of Choice Modelling, chapter 20, pages 457-497, Edward Elgar Publishing.
    3. Welsh, Michael P. & Poe, Gregory L., 1998. "Elicitation Effects in Contingent Valuation: Comparisons to a Multiple Bounded Discrete Choice Approach," Journal of Environmental Economics and Management, Elsevier, vol. 36(2), pages 170-185, September.
    4. Richard Carson & Theodore Groves, 2007. "Incentive and informational properties of preference questions," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 37(1), pages 181-210, May.
    5. Duncan Fong & Sunghoon Kim & Zhe Chen & Wayne DeSarbo, 2016. "A Bayesian Multinomial Probit MODEL FOR THE ANALYSIS OF PANEL CHOICE DATA," Psychometrika, Springer;The Psychometric Society, vol. 81(1), pages 161-183, March.
    6. Robert Zeithammer & Peter Lenk, 2006. "Bayesian estimation of multivariate-normal models when dimensions are absent," Quantitative Marketing and Economics (QME), Springer, vol. 4(3), pages 241-265, September.
    7. John R. Hauser & Felix Eggers & Matthew Selove, 2019. "The Strategic Implications of Scale in Choice-Based Conjoint Analysis," Marketing Science, INFORMS, vol. 38(6), pages 1059-1081, November.
    8. Alessandro Mengoni & Chiara Seghieri & Sabina Nuti, 2013. "The application of discrete choice experiments in health economics: a systematic review of the literature," Working Papers 201301, Scuola Superiore Sant'Anna of Pisa, Istituto di Management.
    9. Mandy Ryan, 2004. "A comparison of stated preference methods for estimating monetary values," Health Economics, John Wiley & Sons, Ltd., vol. 13(3), pages 291-296, March.
    10. Ku, Yu-Cheng & Wu, John, 2018. "Measuring respondent uncertainty in discrete choice experiments via utility suppression," Journal of choice modelling, Elsevier, vol. 27(C), pages 1-18.
    11. Braun, Alexander & Schmeiser, Hato & Schreiber, Florian, 2016. "On consumer preferences and the willingness to pay for term life insurance," European Journal of Operational Research, Elsevier, vol. 253(3), pages 761-776.
    12. Max J. Pachali & Peter Kurz & Thomas Otter, 2020. "How to generalize from a hierarchical model?," Quantitative Marketing and Economics (QME), Springer, vol. 18(4), pages 343-380, December.
    13. Haghani, Milad & Bliemer, Michiel C.J. & Hensher, David A., 2021. "The landscape of econometric discrete choice modelling research," Journal of choice modelling, Elsevier, vol. 40(C).
    14. Ladenburg, Jacob & Olsen, Søren Bøye, 2008. "Gender-specific starting point bias in choice experiments: Evidence from an empirical study," Journal of Environmental Economics and Management, Elsevier, vol. 56(3), pages 275-285, November.
    15. Eleanor McDonnell Feit & Mark A. Beltramo & Fred M. Feinberg, 2010. "Reality Check: Combining Choice Experiments with Market Data to Estimate the Importance of Product Attributes," Management Science, INFORMS, vol. 56(5), pages 785-800, May.
    16. Ricardo Scarpa & Mara Thiene & Kenneth Train, 2006. "Utility in WTP Space: A Tool to Address Confounding Random Scale Effects in Destination Choice to the Alps," Working Papers in Economics 06/15, University of Waikato.
    17. B. P. S. Murthi & Sumit Sarkar, 2003. "The Role of the Mangement Sciences in Research on Personalization," Review of Marketing Science Working Papers 2-2-1025, Berkeley Electronic Press.
    18. Balcombe, Kelvin & Chalak, Ali & Fraser, Iain, 2009. "Model selection for the mixed logit with Bayesian estimation," Journal of Environmental Economics and Management, Elsevier, vol. 57(2), pages 226-237, March.
    19. Max J. Pachali & Peter Kurz & Thomas Otter, 0. "How to generalize from a hierarchical model?," Quantitative Marketing and Economics (QME), Springer, vol. 0, pages 1-38.
    20. Nick Hanley & Mandy Ryan & Robert Wright, 2003. "Estimating the monetary value of health care: lessons from environmental economics," Health Economics, John Wiley & Sons, Ltd., vol. 12(1), pages 3-16, January.

    More about this item

    Keywords

    C11; C18; M31; Failure of procedure invariance; Hierarchical Bayes; Discrete-choice conjoint; Ipsative measurements; Random utility theory; Willingness-to-pay;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • M31 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising - - - Marketing

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:qmktec:v:10:y:2012:i:4:p:453-474. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.