IDEAS home Printed from https://ideas.repec.org/a/bla/obuest/v82y2020i6p1342-1361.html
   My bibliography  Save this article

Modelling Category Inflation with Multiple Inflation Processes: Estimation, Specification and Testing

Author

Listed:
  • Sarah Brown
  • Mark N. Harris
  • Christopher Spencer

Abstract

Zero‐inflated ordered probit (ZIOP) and middle‐inflated ordered probit (MIOP) models are finding increasing favour in the discrete choice literature. We propose generalizations to these models – which collapse to their ZIOP/MIOP counterparts under a set of simple parameter restrictions – with respect to the inflation process. These generalizations form the basis of a new specification test of the inflation process in ZIOP and MIOP models. Support for our generalization framework is principally demonstrated by revisiting a key ZIOP application from the economics literature, and reinforced by the reassessment of an important MIOP application from political science. Our specification test supports the generalized models over the original ZIOP/MIOP ones, suggesting an important role for it in modelling zero‐ and middle‐inflation processes.

Suggested Citation

  • Sarah Brown & Mark N. Harris & Christopher Spencer, 2020. "Modelling Category Inflation with Multiple Inflation Processes: Estimation, Specification and Testing," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(6), pages 1342-1361, December.
  • Handle: RePEc:bla:obuest:v:82:y:2020:i:6:p:1342-1361
    DOI: 10.1111/obes.12366
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/obes.12366
    Download Restriction: no

    File URL: https://libkey.io/10.1111/obes.12366?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
    ---><---

    References listed on IDEAS

    as
    1. Greene,William H. & Hensher,David A., 2010. "Modeling Ordered Choices," Cambridge Books, Cambridge University Press, number 9780521142373.
    2. Zirogiannis, Nikolaos & Alcorn, Jessica & Piepenburg, Jayne & Rupp, John, 2015. "I Want In On That: Community-level Policies for Unconventional Gas Development in New York," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 44(2), pages 1-31, August.
    3. Tae-Hwan Kim & Paul Mizen & Thanaset Chevapatrakul, 2008. "Forecasting changes in UK interest rates," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 27(1), pages 53-74.
    4. Henriksson, Roy D & Merton, Robert C, 1981. "On Market Timing and Investment Performance. II. Statistical Procedures for Evaluating Forecasting Skills," The Journal of Business, University of Chicago Press, vol. 54(4), pages 513-533, October.
    5. Habib, Khandker M. Nurul & Morency, Catherine & Islam, Mohammed Tazul & Grasset, Vincent, 2012. "Modelling users’ behaviour of a carsharing program: Application of a joint hazard and zero inflated dynamic ordered probability model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(2), pages 241-254.
    6. Bagozzi, Benjamin E. & Mukherjee, Bumba, 2012. "A Mixture Model for Middle Category Inflation in Ordered Survey Responses," Political Analysis, Cambridge University Press, vol. 20(3), pages 369-386, July.
    7. Carlo Rosa, 2009. "Forecasting the Direction of Policy Rate Changes: The Importance of ECB Words," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 38(1‐2), pages 39-66, February.
    8. Samuelson, William & Zeckhauser, Richard, 1988. "Status Quo Bias in Decision Making," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 7-59, March.
    9. Benjamin E. Bagozzi & Thomas Brawner & Bumba Mukherjee & Vineeta Yadav, 2014. "Regional International Organizations and Individual Immigration Attitudes: Results from Finite Mixture Models," International Interactions, Taylor & Francis Journals, vol. 40(3), pages 350-375, May.
    10. William H. Greene & Mark N. Harris & Bruce Hollingsworth, 2015. "Inflated Responses in Measures of Self-Assessed Health," American Journal of Health Economics, MIT Press, vol. 1(4), pages 461-493, Fall.
    11. Greene, William H. & Gillman, Max & Harris, Mark N. & Spencer, Christopher, 2013. "The Tempered Ordered Probit (TOP) Model with an Application to Monetary Policy," CEI Working Paper Series 2013-04, Center for Economic Institutions, Institute of Economic Research, Hitotsubashi University.
    12. Greene,William H. & Hensher,David A., 2010. "Modeling Ordered Choices," Cambridge Books, Cambridge University Press, number 9780521194204.
    13. Cragg, John G, 1971. "Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods," Econometrica, Econometric Society, vol. 39(5), pages 829-844, September.
    14. Wilson, Paul, 2015. "The misuse of the Vuong test for non-nested models to test for zero-inflation," Economics Letters, Elsevier, vol. 127(C), pages 51-53.
    15. Chad D. Meyerhoefer & Samuel H. Zuvekas, 2010. "New estimates of the demand for physical and mental health treatment," Health Economics, John Wiley & Sons, Ltd., vol. 19(3), pages 297-315, March.
    16. Shiferaw Gurmu & Getachew A. Dagne, 2012. "Bayesian Approach to Zero-Inflated Bivariate Ordered Probit Regression Model, with an Application to Tobacco Use," Journal of Probability and Statistics, Hindawi, vol. 2012, pages 1-26, December.
    17. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
    18. Brooks, Robert & Harris, Mark N. & Spencer, Christopher, 2012. "Inflated ordered outcomes," Economics Letters, Elsevier, vol. 117(3), pages 683-686.
    19. Zirogiannis, Nikolaos & Alcorn, Jessica & Piepenburg, Jayne & Rupp, John, 2015. "I Want In On That: Community-level Policies for Unconventional Gas Development in New York," Agricultural and Resource Economics Review, Cambridge University Press, vol. 44(2), pages 164-194, August.
    20. Downward, Paul & Lera-Lopez, Fernando & Rasciute, Simona, 2011. "The Zero-Inflated ordered probit approach to modelling sports participation," Economic Modelling, Elsevier, vol. 28(6), pages 2469-2477.
    21. Hensher,David A. & Rose,John M. & Greene,William H., 2015. "Applied Choice Analysis," Cambridge Books, Cambridge University Press, number 9781107465923.
    22. Poirier, Dale J., 1980. "Partial observability in bivariate probit models," Journal of Econometrics, Elsevier, vol. 12(2), pages 209-217, February.
    23. Harris, Mark N. & Zhao, Xueyan, 2007. "A zero-inflated ordered probit model, with an application to modelling tobacco consumption," Journal of Econometrics, Elsevier, vol. 141(2), pages 1073-1099, December.
    24. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    25. Akcura, Elcin, 2015. "Mandatory versus voluntary payment for green electricity," Ecological Economics, Elsevier, vol. 116(C), pages 84-94.
    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. Greene, William & Harris, Mark N. & Knott, Rachel & Rice, Nigel, 2023. "Reporting heterogeneity in modeling self-assessed survey outcomes," Economic Modelling, Elsevier, vol. 124(C).

    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. William Greene & Mark N. Harris & Preety Srivastava & Xueyan Zhao, 2018. "Misreporting and econometric modelling of zeros in survey data on social bads: An application to cannabis consumption," Health Economics, John Wiley & Sons, Ltd., vol. 27(2), pages 372-389, February.
    2. David Dale & Andrei Sirchenko, 2021. "Estimation of nested and zero-inflated ordered probit models," Stata Journal, StataCorp LP, vol. 21(1), pages 3-38, March.
    3. Greene, William & Harris, Mark N. & Knott, Rachel & Rice, Nigel, 2023. "Reporting heterogeneity in modeling self-assessed survey outcomes," Economic Modelling, Elsevier, vol. 124(C).
    4. Benjamin E. Bagozzi, 2016. "The baseline-inflated multinomial logit model for international relations research," Conflict Management and Peace Science, Peace Science Society (International), vol. 33(2), pages 174-197, April.
    5. William H.Greene & Max Gillman & Mark N. Harris & Christopher Spencer, 2013. "The Tempered Ordered Probit (TOP) model with an application to monetary policy," Discussion Paper Series 2013_10, Department of Economics, Loughborough University, revised Sep 2013.
    6. William H Greene & Mark N Harris & Preety Srivastava & Xueyan Zhao, 2013. "Econometric Modelling of Social Bads," Bankwest Curtin Economics Centre Working Paper series WP1305, Bankwest Curtin Economics Centre (BCEC), Curtin Business School.
    7. Belderbos, Rene & Ikeuchi, Kenta & Fukao, Kyoji & Kim, Young Gak & Kwon, Hyeog Ug, 2013. "Plant Productivity Dynamics and Private and Public R&D Spillovers: Technological, Geographic and Relational Proximity," CEI Working Paper Series 2013-05, Center for Economic Institutions, Institute of Economic Research, Hitotsubashi University.
    8. Fumagalli, Elena & Fumagalli, Laura, 2022. "Subjective well-being and the gender composition of the reference group: Evidence from a survey experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 194(C), pages 196-219.
    9. Chinh Ho & Corinne Mulley & Chi-Hong Tsai & Stephen Ison & Sue Wiblin, 2017. "Area-wide travel plans—targeting strategies for greater participation in green travel initiatives: a case study of Rouse Hill Town Centre, NSW Australia," Transportation, Springer, vol. 44(2), pages 325-352, March.
    10. William Greene & Mark N. Harris & Bruce Hollingsworth & Rachel Knott & Nigel Rice, 2016. "Reporting heterogeneity effects in modelling self reports of health," Working Papers 16-12, New York University, Leonard N. Stern School of Business, Department of Economics.
    11. David ARISTEI & Manuela Gallo, 2012. "The Drivers of Household Over-Indebtedness and Delinquency on Mortgage Loans: Evidence from Italian Microdata," Quaderni del Dipartimento di Economia, Finanza e Statistica 105/2012, Università di Perugia, Dipartimento Economia.
    12. Das, Ujjwal & Das, Kalyan, 2018. "Inference on zero inflated ordinal models with semiparametric link," Computational Statistics & Data Analysis, Elsevier, vol. 128(C), pages 104-115.
    13. William H Greene & Mark N Harris & Christopher Spencer, 2013. "Estimating the Standard Errors of Individual-Specific Parameters in Random Parameters Models," Bankwest Curtin Economics Centre Working Paper series WP1309, Bankwest Curtin Economics Centre (BCEC), Curtin Business School.
    14. Patricia H. Born & E. Tice Sirmans, 2019. "Regret in health insurance post‐purchase behavior," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 22(2), pages 207-219, July.
    15. Woo, C.K. & Ho, T. & Shiu, A. & Cheng, Y.S. & Horowitz, I. & Wang, J., 2014. "Residential outage cost estimation: Hong Kong," Energy Policy, Elsevier, vol. 72(C), pages 204-210.
    16. Entorf, Horst, 2012. "Expected recidivism among young offenders: Comparing specific deterrence under juvenile and adult criminal law," European Journal of Political Economy, Elsevier, vol. 28(4), pages 414-429.
    17. Sirchenko Andrei, 2012. "A model for ordinal responses with an application to policy interest rate," EERC Working Paper Series 12/13e, EERC Research Network, Russia and CIS.
    18. Markowski-Lindsay, Marla & Stevens, Thomas & Kittredge, David B. & Butler, Brett J. & Catanzaro, Paul & Dickinson, Brenton J., 2011. "Barriers to Massachusetts forest landowner participation in carbon markets," Ecological Economics, Elsevier, vol. 71(C), pages 180-190.
    19. Rosa Marina González & Concepción Román & Ángel Simón Marrero, 2018. "Visitors’ Attitudes towards Bicycle Use in the Teide National Park," Sustainability, MDPI, vol. 10(9), pages 1-18, September.
    20. Sara Suarez-Fernandez & Juan Prieto-Rodriguez & Maria Jose Perez-Villadoniga, 2020. "The changing role of education as we move from popular to highbrow culture," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 44(2), pages 189-212, June.

    More about this item

    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:bla:obuest:v:82:y:2020:i:6:p:1342-1361. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/sfeixuk.html .

    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.