Three Essays on Conjoint Analysis: Optimal Design and Estimation of Endogenous Consideration Sets

Total Page:16

File Type:pdf, Size:1020Kb

Three Essays on Conjoint Analysis: Optimal Design and Estimation of Endogenous Consideration Sets TESIS DOCTORAL Three essays on conjoint analysis: optimal design and estimation of endogenous consideration sets Autor: Agata Leszkiewicz Director/es: Mercedes Esteban-Bravo, PhD Jose M. Vidal-Sanz, PhD DEPARTAMENTO ECONOMÍA DE LA EMPRESA Getafe, January 2014 TESIS DOCTORAL Three essays on conjoint analysis: optimal design and estimation of endogenous consideration sets Autor: Agata Leszkiewicz Director/es: Mercedes Esteban-Bravo, PhD José M. Vidal-Sanz, PhD Firma del Tribunal Calificador: Firma Presidente: Vocal: Secretario: Calificación: Getafe, de de Acknowledgments First and foremost, I owe a debt of gratitude to my PhD advisors, Mercedes Esteban-Bravo and Jose M. Vidal-Sanz. The influence of their guidance and motivation on the final form of this dis- sertation cannot be overstated. I feel very fortunate to have had the opportunity to work closely with Mercedes and Jose in many areas of the academic life. During these years I have gotten to know them not only as brilliant marketing modelers, but also as organized and trustworthy pro- fessionals. Collaboration with Mercedes and Jose shaped me into a mature researcher. I would also like to thank Mercedes for inviting me to participate in her research project, which provided financial support to this thesis. I also wish to thank Don Lehmann for his hospitality and mentorship during my research visit at Columbia Business School. It was an invaluable opportunity to learn from him and I deeply appreciate his support, feedback and career advice. My thanks go to Leonard Lee, Oded Netzer and Nicholas Reinholtz for their warm reception in New York and comments on my work. I cannot emphasize enough how much I gained from (and enjoyed) my research stay at Columbia. I am obliged to the entire marketing team at Carlos 3. I appreciate the support and feedback of Nora Lado and Alicia Barroso during the first years of my teaching experience. My thanks go to James Nelson, Lola Duque and Fabrizio Cesaroni for their words of encouragement. I am grateful to Goki and Vardan for clearing the paths for me on the PhD journey, for their sincere advice and for their friendship. I wish to thank Manuel Bagües and Encarna Guillamón, with whom I worked closely in the Department, for many challenging discussions, advice and for being my referees. I would like to mention other faculty members who supported me at different moments at Carlos 3: Josep Tribó, Jaime Ortega, Pablo Ruiz-Verdú and Esther Ruíz. I warmly thank Agnieszka Szczepanska-´ Álvarez from the Poznan´ University of Life Sciences for the friendly review of my paper. i During the years I spent in Madrid I was fortunate to have met many extraordinary people. I enjoyed the friendship of Ana Laura, Dilan, Juliana and Su-Ping, who have been there for me through all the ups and downs. My special thanks go to Adolfo, Agnieszka, Ana Maria, Argyro, Borbala, Emanuele, Han-Chiang and Jonatan. I leave Madrid hoping that soon our paths will cross again. I am grateful to Lukas for his patience. He has been a true partner on this journey, always supporting me in my objectives. I thank my whole family for their unlimited love, inspiration and constant encouragement. Finally, I am indebted to my mother for proofreading of parts of my work. I thankfully acknowledge the financial support of the Department of Business Administration at the University Carlos III of Madrid, the University Carlos III of Madrid (Programa Propio de Investigación), the Ministry of Science and Innovation in Spain (research grant ECO2011- 30198), and the Education Council of the Autonomous Community of Madrid (research grant S2009/ESP-1594). I dedicate this dissertation to my family. Agata ii Abstract Over many years conjoint analysis has become the favourite tool among marketing practition- ers and scholars for learning consumer preferences towards new products or services. Its wide acceptance is substantiated by the high validity of conjoint results in numerous successful im- plementations among a variety of industries and applications. Additionally, this experimental method elicits respondents’ preference information in a natural and effective way. One of the main challenges in conjoint analysis is to efficiently estimate consumer preferences towards more and more complex products from a relatively small sample of observations because respondent’s wear-out contaminates the data quality. Therefore the choice of sample products to be evaluated by the respondent (the design) is as much as relevant as the efficient estimation. This thesis contributes to both research areas, focusing on the optimal design of experiments (essay one and two) and the estimation of random consideration sets (essay three). Each of the essays addresses relevant research gaps and can be of interest to both marketing managers as well as academicians. The main contributions of this thesis can be summarized as follows: • The first essay proposes a general flexible approach to build optimal designs for linear conjoint models. We do not compute good designs, but the best ones according to the size (trace or determinant) of the information matrix of the associated estimators. Additionally, we propose the solution to the problem of repeated stimuli in optimal designs obtained by numerical methods. In most of comparative examples our approach is faster than the existing software for Conjoint Analysis, while achieving the same efficiency of designs. This is an important quality for the applications in an online context. This approach is also more flexible than traditional design methodology: it handles continuous, discrete and mixed attribute types. We demonstrate the suitability of this approach for conjoint analysis with rank data and ratings (a case of an individual respondent and a panel). Under certain assumptions this approach can also be applied in the context of discrete choice experiments. • In the essay 2 we propose a novel method to construct robust efficient designs for conjoint iii experiments, where design optimization is more problematic, because the covariance ma- trix depends on the unknown parameter. In fact this occurs in many nonlinear models commonly considered in conjoint analysis literature, including the preferred choice-based conjoint analysis. In such cases the researcher is forced to make strong assumptions about unknown parameters and to implement an experimental design not knowing its true effi- ciency. We propose a solution to this puzzle, which is robust even if we do not have a good prior guess about consumer preferences. We demonstrate that benchmark designs perform well only if the assumed parameter is close to true values, which is rarely the case, oth- erwise there is no need to implement the experiment. On the other hand, our worst-case designs perform well under a variety of scenarios and are more robust to misspecification of parameters. • Essay 3 contributes with a method to estimate consideration sets which are endogenous to respondent preferences. Consideration sets arise when consumers use decision rules to simplify difficult choices, for example when evaluating a wide assortment of complex products. This happens because rationally bounded respondents often skip potentially in- teresting options, for example due to lack of information (brand unawareness), perceptual limitations (low attention or low salience), or halo effect. Research in consumer behaviour established that consumers choose in two stages: first they screen off products whose at- tributes do not satisfy certain criteria, and then select the best alternative according to their preference order (over the considered options). Traditional CA focuses on the second step, but more recently methods incorporating both steps were developed. However, they are always considered to be independent, while the halo effect clearly leads to endogeneity. If the cognitive process is influenced by the overall affective impression of the product, we cannot assume that the screening-off is independent from the evaluative step. To test this behavior we conduct an online experiment of lunch menu entrees using Amazon MTurk sample. iv Resumen A lo largo de los años, el “Análisis Conjunto” se ha convertido en una de las herramientas más ex- tendidas entre los profesionales y académicos de marketing. Se trata de un método experimental para estudiar la función de utilidad que representa las preferencias de los consumidores sobre productos o servicios definidos mediante diversos atributos. Su enorme popularidad se basa en la validez y utilidad de los resultados obtenidos en multitud de estudios aplicados a todo tipo de industrias. Se utiliza regularmente para problemas tales como diseño de nuevos productos, análisis de segmentación, predicción de cuotas de mercado, o fijación de precios. En el análisis conjunto, se mide la utilidad que uno o varios consumidores asocian a diversos productos, y se estima un modelo paramétrico de la función de utilidad a partir de dichos datos usando métodos de regresión en sus diversas variantes. Uno de los principales retos del análisis conjunto es estimar eficientemente los parámetros de la función de utilidad del consumidor hacia productos cada vez más complejos, y hacerlo a partir de una muestra relativamente pequeña de observaciones debido a que en experimentos prolongados la fatiga de los encuestados contamina la calidad de los datos. La eficiencia de los estimadores es esencial para ello, y dicha eficiencia depende de los productos evaluados. Por tanto, la elección de los productos de la muestra que serán evaluados por el encuestado (el diseño) es clave para el éxito del estudio. La primera parte de esta tesis contribuye al diseño óptimo de experimentos (ensayos uno y dos, que se centran respectivamente en modelos lineales en parámetros, y modelos no lineales). Pero la función de utilidad puede presentar discontinuidades. A menudo el consumidor simplifica la decisión apli- cando reglas heurísticas, que de facto introducen una discontinuidad. Estas reglas se denominan conjuntos de consideración: los productos que cumplen la regla son evaluados con la función de utilidad usual, el resto son descartados o evaluados con una utilidad diferente (especialmente baja) que tiende a descartarlos.
Recommended publications
  • A Conjoint Analysis Study of Preferences and Purchasing Behavior of Potential Adopters of the Bureau of Land Management Wild Horses
    University of Kentucky UKnowledge Theses and Dissertations--Agricultural Economics Agricultural Economics 2015 A CONJOINT ANALYSIS STUDY OF PREFERENCES AND PURCHASING BEHAVIOR OF POTENTIAL ADOPTERS OF THE BUREAU OF LAND MANAGEMENT WILD HORSES Omotoyosi O. Adekunle University of Kentucky, [email protected] Right click to open a feedback form in a new tab to let us know how this document benefits ou.y Recommended Citation Adekunle, Omotoyosi O., "A CONJOINT ANALYSIS STUDY OF PREFERENCES AND PURCHASING BEHAVIOR OF POTENTIAL ADOPTERS OF THE BUREAU OF LAND MANAGEMENT WILD HORSES" (2015). Theses and Dissertations--Agricultural Economics. 33. https://uknowledge.uky.edu/agecon_etds/33 This Master's Thesis is brought to you for free and open access by the Agricultural Economics at UKnowledge. It has been accepted for inclusion in Theses and Dissertations--Agricultural Economics by an authorized administrator of UKnowledge. For more information, please contact [email protected]. STUDENT AGREEMENT: I represent that my thesis or dissertation and abstract are my original work. Proper attribution has been given to all outside sources. I understand that I am solely responsible for obtaining any needed copyright permissions. I have obtained needed written permission statement(s) from the owner(s) of each third-party copyrighted matter to be included in my work, allowing electronic distribution (if such use is not permitted by the fair use doctrine) which will be submitted to UKnowledge as Additional File. I hereby grant to The University of Kentucky and its agents the irrevocable, non-exclusive, and royalty-free license to archive and make accessible my work in whole or in part in all forms of media, now or hereafter known.
    [Show full text]
  • Logistic Regression Response Functions with Main and Interaction Effects in the Conjoint Analysis
    The International Conference “Innovation and Society 2011. Statistical Methods for the Evaluation of Services (IES 2011)” LOGISTIC REGRESSION RESPONSE FUNCTIONS WITH MAIN AND INTERACTION EFFECTS IN THE CONJOINT ANALYSIS Amedeo DE LUCA1,2 PhD, University Professor, Faculty of Economics, Department of Statistics Sciences, The Catholic University, Milan, Italy E-mail: [email protected] Sara CIAPPARELLI3 BSc, Statistic and Economic Science, Faculty of Economics, The Catholic University, Milan, Italy E-mail: Abstract: In the Conjoint Analysis (COA) model proposed here - an extension of the traditional COA - the polytomous response variable (i.e. evaluation of the overall desirability of alternative product profiles) is described by a sequence of binary variables. To link the categories of overall evaluation to the factor levels, we adopt - at the aggregate level - a multivariate logistic regression model, based on a main and two-factor interaction effects experimental design. The model provides several overall desirability functions (aggregated part-worths sets), as many as the overall ordered categories are, unlike the traditional metric and non metric COA, which gives only one response function. We provide an application of the model and an interpretation of the main and interactive effects. Key words: Conjoint analysis; Interaction effects; Multivariate Logistic Regression 1. Introduction Conjoint Analysis (COA) has become one of the most widely used quantitative tools in marketing research. COA has been developed and in use since the early 1970s and has aroused considerable interest as a major set of techniques for measuring consumers' trade- offs among multiattributed products and services [8]4. Since that time many new developments in COA have been registered.
    [Show full text]
  • Novel Statistical Methods in Conjoint Analysis and Padé Approximation of the Profile Likelihood
    NOVEL STATISTICAL METHODS IN CONJOINT ANALYSIS AND PADÉ APPROXIMATION OF THE PROFILE LIKELIHOOD by Thomas James Prior A dissertation submitted to Johns Hopkins University in conformity with the requirements for the degree of Doctor of Philosophy Baltimore, Maryland June, 2017 © 2017 Thomas James Prior All Rights Reserved Abstract This thesis addresses two topics in statistics that rely on the likelihood function for statistical inference. These topics include novel statistical research in conjoint analysis and a method to approximate the profile likelihood and create approximate profile likelihood confidence intervals. After introducing choice-based conjoint analysis, we introduce a method to empirically assess and compare different conjoint analysis design strategies. A key feature of this method of comparison is that it makes very few assumptions about the data-generating process (essentially just that the respondents answer the surveys independently of one another) while remaining statistically valid; in particular, the respondents are not assumed to use the multinomial logit model. We then turn to the statistical analysis of conjoint analysis survey results. We introduce a method to plot in two-dimensional space the heterogeneity in preferences across the respondents as inferred from the conjoint analysis survey results that can be used for visualization as well as mixture model assessment. We also introduce a novel method to accurately infer the number of natural clusters in preferences across the respondents. This method is shown in simulation studies to give more accurate results than latent class segmentation with AIC and BIC. We additionally suggest regressing estimated respondent preferences on their demographic variables as a strategy for hypothesis generation and model building.
    [Show full text]
  • An Empirical Study of Tourist Preferences Using Conjoint Analysis
    A Service of Leibniz-Informationszentrum econstor Wirtschaft Leibniz Information Centre Make Your Publications Visible. zbw for Economics Tripathi, Shalini N.; Siddiqui, Masood H. Article An empirical study of tourist preferences using conjoint analysis International Journal of Business Science & Applied Management (IJBSAM) Provided in Cooperation with: International Journal of Business Science & Applied Management (IJBSAM) Suggested Citation: Tripathi, Shalini N.; Siddiqui, Masood H. (2010) : An empirical study of tourist preferences using conjoint analysis, International Journal of Business Science & Applied Management (IJBSAM), ISSN 1753-0296, International Journal of Business Science & Applied Management, s.l., Vol. 5, Iss. 2, pp. 1-16 This Version is available at: http://hdl.handle.net/10419/190613 Standard-Nutzungsbedingungen: Terms of use: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Documents in EconStor may be saved and copied for your Zwecken und zum Privatgebrauch gespeichert und kopiert werden. personal and scholarly purposes. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle You are not to copy documents for public or commercial Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich purposes, to exhibit the documents publicly, to make them machen, vertreiben oder anderweitig nutzen. publicly available on the internet, or to distribute or otherwise use the documents in public. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, If the documents have been made available under an Open gelten abweichend von diesen Nutzungsbedingungen die in der dort Content Licence (especially Creative Commons Licences), you genannten Lizenz gewährten Nutzungsrechte. may exercise further usage rights as specified in the indicated licence. https://creativecommons.org/licenses/by/2.0/uk/ www.econstor.eu Int.
    [Show full text]
  • What Is Conjoint Analysis?
    Technical Memorandum Number EC 2008-03 Introduction to Conjoint Analysis for Valuing Ecosystem Amenities U.S. Department of the Interior Bureau of Reclamation February 2008 Mission Statements The mission of the Department of the Interior is to protect and provide access to our Nation’s natural and cultural heritage and honor our trust responsibilities to Indian Tribes and our commitments to island communities. The mission of the Bureau of Reclamation is to manage, develop, and protect water and related resources in an environmentally and economically sound manner in the interest of the American public. Technical Memorandum Number EC 2008-03 Introduction to Conjoint Analysis for Valuing Ecosystem Amenities David A. Harpman Technical Service Center Economics and Resource Management U.S. Department of the Interior Bureau of Reclamation February 2008 Acknowledgements This document has benefited immeasurably from the patient technical review and gracious assistance of several of my colleagues. In alphabetical order, they are: Dr. J. Michael Bowker, U.S. Forest Service Dr. Michelle A. Haefele, The Wilderness Society Dr. Richard J. Lichtkoppler, U.S. Bureau of Reclamation Dr. John B. Loomis, Colorado State University Dr. Bruce E. Peacock, National Park Service Mr. Jonathan L. Platt, U.S. Bureau of Reclamation Dr. Michael P. Welsh, Christensen Associates I’d also to thank the Winter Quarter 2008 EPM 4130 Environmental Economics class at the University of Denver for their many helpful comments. Any remaining errors are the sole responsibility of the author. Financial support for this project was provided by the U.S. Bureau of Reclamation’s Manuals and Standards Program. Contents Contents Page Contents ................................................................................................................iii Purpose..................................................................................................................
    [Show full text]
  • Application of Conjoint Analysis to Customers' Preference of Soap
    World Wide Journal of Multidisciplinary Research and Development WWJMRD 2018; 4(1): 226-244 www.wwjmrd.com International Journal Peer Reviewed Journal Application of Conjoint Analysis to Customers’ Refereed Journal Indexed Journal Preference of Soap UGC Approved Journal Impact Factor MJIF: 4.25 e-ISSN: 2454-6615 Sulaimon Mutiu O, Adewunmi Olusola A, Oyefusi Olutayo A, Ajasa Adekunle O, Ajayi Oluwatoyin Sulaimon Mutiu O. Department of Statistics and Mathematics, Moshood Abiola Abstract Polytechnic, Abeokuta, Ogun This study determines customers’ preference at the introduction of new toilet soap into the Lagos State, Nigeria market. In doing this, the study models a toilet soap preference by consumers in Lagos State, Nigeria based on five factors - Soap Name, Soap Weight, Price Package, Package Design, and Antiseptic. Adewunmi Olusola A. There are three factor levels for Soap Name (Basel, Zenith, and Mosko); two Soap Weights (70g and Department of Statistics and 150g); three Price Package levels (N100, N200, and N250); three Package Design type (A*, B*, and Mathematics, Moshood Abiola C*); and two levels (either No or Yes) for Antiseptic factor. Sixteen (16) cases were generated for the Polytechnic, Abeokuta, Ogun orthogonal design, with three (3) holdout cases and two (2) simulation cases. The Conjoint State, Nigeria questionnaire contains nineteen (19) product profiles (16 orthogonal cases and 3 holdout cases). Four-hundred and twenty (420) randomly selected subjects (soap users) were used for the rating of Oyefusi Olutayo A. Department of Statistics and the product profiles. Conjoint analysis was thereafter run on the rated product profiles using Conjoint Mathematics, Moshood Abiola command syntax which was written to suit the project at hand.
    [Show full text]