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

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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).
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-694, July.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61.
    14. 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.
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