IDEAS home Printed from https://ideas.repec.org/a/spr/sankhb/v86y2024i2d10.1007_s13571-024-00327-x.html
   My bibliography  Save this article

Analysis of Two - Part Random Effects Model for Semi-Ordinal Longitudinal Response

Author

Listed:
  • Zhale Tahmasebinejad

    (Shahid Beheshti University of Medical Sciences)

Abstract

We have proposed a new variable called semi-ordinal variable. This variable exhibits a combination of responses, with a portion of them taking on ordinal values and the remaining values following a continuous distribution, often with truncation. In longitudinal analyses, variable of this type may be described by a pair of regression models, for example, one approach to analyze this variable is to use ordinal regression for the ordinal component and a conditional linear model for the continuous component. We have proposed a two - part ranom effects model for longitudinal semi-ordinal responses. A full likelihood-based approach that allows yielding maximum likelihood estimates of the model parameters is used. To illustrate the utility of the proposed model, we apply a new method for analysis outlier data. Also, the model is applied to using data from a large data set excerpted from the British Household Panel Survey (BHPS) is analyzed.

Suggested Citation

  • Zhale Tahmasebinejad, 2024. "Analysis of Two - Part Random Effects Model for Semi-Ordinal Longitudinal Response," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(2), pages 777-808, November.
    • Handle: RePEc:spr:sankhb:v:86:y:2024:i:2:d:10.1007_s13571-024-00327-x
    DOI: 10.1007/s13571-024-00327-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13571-024-00327-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13571-024-00327-x?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

    for a different version of it.

    References listed on IDEAS

    as
    1. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492, National Bureau of Economic Research, Inc.
    2. Hajivassiliou, V A, 1994. "A Simulation Estimation Analysis of the External Debt Crises of Developing Countries," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(2), pages 109-131, April-Jun.
    3. Wai-Yin Poon & Sik-Yum Lee, 1987. "Maximum likelihood estimation of multivariate polyserial and polychoric correlation coefficients," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 409-430, September.
    4. Xihong Lin & Louise Ryan & Mary Sammel & Daowen Zhang & Chantana Padungtod & Xiping Xu, 2000. "A Scaled Linear Mixed Model for Multiple Outcomes," Biometrics, The International Biometric Society, vol. 56(2), pages 593-601, June.
    5. Zhou Xiao-Hua & Wanzhu Tu, 1999. "Comparison of Several Independent Population Means When Their Samples Contain Log-Normal and Possibly Zero Observations," Biometrics, The International Biometric Society, vol. 55(2), pages 645-651, June.
    6. Tabrizi, Elham & Samani, Ehsan Bahrami & Ganjali, Mojtaba, 2020. "A note on the identifiability of latent variable models for mixed longitudinal data," Statistics & Probability Letters, Elsevier, vol. 167(C).
    7. Daniel B. Hall, 2000. "Zero-Inflated Poisson and Binomial Regression with Random Effects: A Case Study," Biometrics, The International Biometric Society, vol. 56(4), pages 1030-1039, December.
    8. Duan, Naihua, et al, 1983. "A Comparison of Alternative Models for the Demand for Medical Care," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(2), pages 115-126, April.
    9. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61.
    10. E. Bahrami Samani & M. Ganjali, 2014. "Mixed Correlated Bivariate Ordinal and Negative Binomial Longitudinal Responses with Nonignorable Missing Values," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(13), pages 2659-2673, July.
    11. F. Razie & E. Bahrami Samani & M. Ganjali, 2016. "A latent variable model for analyzing mixed longitudinal (,)-inflated count and ordinal responses," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(12), pages 2203-2224, September.
    12. F. Razie & E. Bahrami Samani, 2019. "Joint (k, l)-hurdle random effects models for mixed longitudinal power series and normal outcomes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(12), pages 3025-3043, June.
    13. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-694, July.
    14. Xie, M. & He, B. & Goh, T. N., 2001. "Zero-inflated Poisson model in statistical process control," Computational Statistics & Data Analysis, Elsevier, vol. 38(2), pages 191-201, December.
    Full references (including those not matched with items on IDEAS)

    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. Gerko Vink & Laurence E. Frank & Jeroen Pannekoek & Stef Buuren, 2014. "Predictive mean matching imputation of semicontinuous variables," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 68(1), pages 61-90, February.
    2. Boehm, Martin, 2008. "Determining the impact of internet channel use on a customer's lifetime," Journal of Interactive Marketing, Elsevier, vol. 22(3), pages 2-22.
    3. Alexey Zamnius & Andrey Polbin, 2021. "Estimating intertemporal elasticity of substitution of labor supply for married women in Russia," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 64, pages 23-48.
    4. Zhou, Xiao-Hua & Liang, Hua, 2006. "Semi-parametric single-index two-part regression models," Computational Statistics & Data Analysis, Elsevier, vol. 50(5), pages 1378-1390, March.
    5. Jayabrata Biswas & Pulak Ghosh & Kiranmoy Das, 2020. "A semi-parametric quantile regression approach to zero-inflated and incomplete longitudinal outcomes," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(2), pages 261-283, June.
    6. Verbeek, M.J.C.M. & Nijman, T.E., 1992. "Incomplete panels and selection bias : A survey," Discussion Paper 1992-7, Tilburg University, Center for Economic Research.
    7. Rama Lionel Ngenzebuke, 2016. "Female say on income and child outcomes: Evidence from Nigeria," WIDER Working Paper Series 134, World Institute for Development Economic Research (UNU-WIDER).
    8. Geweke, J. & Joel Horowitz & Pesaran, M.H., 2006. "Econometrics: A Bird’s Eye View," Cambridge Working Papers in Economics 0655, Faculty of Economics, University of Cambridge.
    9. Yasser Razak Hussain & Pranab Mukhopadhyay, 2023. "How Much do Education, Experience, and Social Networks Impact Earnings in India? A Panel Data Analysis Disaggregated by Class, Gender, Caste and Religion," SAGE Open, , vol. 13(4), pages 21582440231, December.
    10. E. Michael Foster & Grace Y. Fang, 2004. "Alternative Methods for Handling Attrition," Evaluation Review, , vol. 28(5), pages 434-464, October.
    11. Yan Zhang, 2013. "Fair Lending Analysis of Mortgage Pricing: Does Underwriting Matter?," The Journal of Real Estate Finance and Economics, Springer, vol. 46(1), pages 131-151, January.
    12. Katrin Hussinger, 2012. "Absorptive capacity and post-acquisition inventor productivity," The Journal of Technology Transfer, Springer, vol. 37(4), pages 490-507, August.
    13. Carlos Arias & Thomas Cox, 2001. "Estimation of a US dairy sector model by maximum simulated likelihood," Applied Economics, Taylor & Francis Journals, vol. 33(9), pages 1201-1211.
    14. Brad R. Humphreys & Jane E. Ruseski, 2006. "Economic Determinants of Participation in Physical Activity and Sport," IASE Conference Papers 0619, International Association of Sports Economists.
    15. Peter Hartley & Chris Trengove, 1990. "East‐West Airlines' Sydney‐Melbourne Service: Market Expansion or Demand Diversion?," The Economic Record, The Economic Society of Australia, vol. 66(3), pages 203-220, September.
    16. Chiang, Eric P. & Assane, Djeto, 2008. "Music piracy among students on the university campus: Do males and females react differently?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 37(4), pages 1371-1380, August.
    17. Monika Kackovic & Joop Hartog & Hans van Ophem & Nachoem Wijnberg, 2022. "The promise of potential: A study on the effectiveness of jury selection to a prestigious visual arts program," Kyklos, Wiley Blackwell, vol. 75(3), pages 410-435, August.
    18. Thibaut, Erik & Vos, Steven & Scheerder, Jeroen, 2014. "Hurdles for sports consumption? The determining factors of household sports expenditures," Sport Management Review, Elsevier, vol. 17(4), pages 444-454.
    19. Peter Hull & Michal Kolesár & Christopher Walters, 2022. "Labor by design: contributions of David Card, Joshua Angrist, and Guido Imbens," Scandinavian Journal of Economics, Wiley Blackwell, vol. 124(3), pages 603-645, July.
    20. Martin Huber & Giovanni Mellace, 2014. "Testing exclusion restrictions and additive separability in sample selection models," Empirical Economics, Springer, vol. 47(1), pages 75-92, August.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sankhb:v:86:y:2024:i:2:d:10.1007_s13571-024-00327-x. 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.