Research Article
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Uzunlamasına kısmi-sürekli veri için marjinalleştirilmiş çok seviyeli rastgele etkili bir model

Year 2018, Volume 11, Issue 1, 23 - 31, 29.06.2018

Abstract

Bu çalışmada, uzunlamasına kısmi-sürekli veri için marjinalleştirilmiş çok seviyeli rastgele etkili bir model önerdik. Önerilen yöntemin başarısını farklı senaryolar altında bir Monte Carlo benzetim çalışmasıyla inceledik. Benzetim çalışmasının sonuçları önerilen modelin yeterli istatistiksel özelliklere sahip olduğunu göstermiştir.

References

  • [1] D. Bandyopadhyay, D.M Galvis, V.H. Lachos, 2017, Augmented mixed models for clustered proportion data, Statistical Methods in Medical Research, 26(2), 880-897. [2] V.T. Farewell, D.L. Long, B.D.M. Tom, S. Yiu, L. Su, 2017, Two-part and related regression models for longitudinal data, Annual Review of Statistics and Its Application, 4, 283-315.
  • [3] D.M. Galvis, D. Bandyopadhyay, V.H. Lachos, 2014, Augmented mixed beta regression models for periodontal proportion data, Statistics in Medicine, 33(21), 3759-3771.
  • [4] M. Griswold, B. Swihart, B. Cao, S. Zeger, 2013, Practical marginalized multilevel models, Statistics, 2, 129-142.
  • [5] P. Heagerty, 1999, Marginally specified logistic-normal models for longitudinal binary data, Biometrics, 55, 688-698.
  • [6] P. Heagerty, S. Zeger, 2000, Marginalized multilevel models and likelihood inference (with discussion), Statistical Science, 15, 1-26.
  • [7] G. Inan, 2018, Comments on “Marginalized multilevel hurdle and zero-inflated models for overdispersed and correlated count data with excess zeros”, Statistics in Medicine, 37, 324–326.
  • [8] W. Kassahun, T. Neyens, G. Molenberghs, C. Faes, G. Verbeke, 2014, Marginalized multilevel hurdle and zero-inflated models for overdispersed and correlated count data with excess zeros, Statistics in Medicine, 33(25), 4402-4419.
  • [9] K. Lee, Y. Joo, J.J. Song, D.W. Harper, 2011, Analysis of zero-inflated clustered count data: A marginalized model approach, Computational Statistics and Data Analysis, 55(1), 824-837.
  • [10] B, Neelon, A.J. O'Malley, V.A. Smith, 2016, Modeling zero-modified count and semi-continuous data in health services research Part 1: Back-ground and overview, Statistics in Medicine, 35(27), 5070-5093.
  • [11] B. Neelon, A.J. O'Malley, V.A. Smith, 2016, Modeling zero-modified count and semi-continuous data in health services research part 2: Case studies, Statistics in Medicine, 35(27), 5094-5112.
  • [12] M.K. Olsen, J.L. Schafer, 2001, A two-part random-effects model for semi-continuous longitudinal data, Journal of the American Statistical Association, 96(454), 730-745.
  • [13] M. Rodrigues-Motta, et al., 2015, A mixed-effect model for positive responses augmented by zeros, Statistics in Medicine, 34(10), 1761-1778.
  • [14] V.A. Smith, B. Neelon, M.L. Maciejewski, J.S. Preisser, 2017, Two parts are better than one: modeling marginal means of semi-continuous data, Health Services and Outcomes Research Methodology, 1-21.
  • [15] V.A. Smith, B. Neelon, J.S. Preisser, M.L. Maciejewski, 2017, A marginalized two-part model for longitudinal semi-continuous data, Statistical Methods in Medical Research, 26(4), 1949-1968.
  • [16] L. Su, B.D. Tom, V.T. Farewell, 2015, A likelihood-based two-part marginal model for longitudinal semi- continuous data, Statistical Methods in Medical Research, 24(2), 194-205.
  • [17] B.D. Tom, L. Su, V.T. Farewell, 2016, A corrected formulation for marginal inference derived from two- part mixed models for longitudinal semi-continuous data, Statistical Methods in Medical Research, 25(5), 2014-2020.
  • [18] B. Zhang, W. Liu, Y. Hu, 2017, Estimating marginal and incremental effects in the analysis of medical expenditure panel data using marginalized two-part random-effects generalized Gamma models: Evidence from China healthcare cost data, Statistical Methods in Medical Research, DOI:0962280217690770.

A marginalized multilevel random effects model for longitudinal semi-continuous data

Year 2018, Volume 11, Issue 1, 23 - 31, 29.06.2018

Abstract

In this study, we proposed a marginalized multilevel random effects model for analysis of longitudinal semi-continuous data. We investigated the performance of the proposed model through a Monte Carlo simulation study under scenarios. The results of the simulation study showed that the proposed model has some favourable statistical properties.

References

  • [1] D. Bandyopadhyay, D.M Galvis, V.H. Lachos, 2017, Augmented mixed models for clustered proportion data, Statistical Methods in Medical Research, 26(2), 880-897. [2] V.T. Farewell, D.L. Long, B.D.M. Tom, S. Yiu, L. Su, 2017, Two-part and related regression models for longitudinal data, Annual Review of Statistics and Its Application, 4, 283-315.
  • [3] D.M. Galvis, D. Bandyopadhyay, V.H. Lachos, 2014, Augmented mixed beta regression models for periodontal proportion data, Statistics in Medicine, 33(21), 3759-3771.
  • [4] M. Griswold, B. Swihart, B. Cao, S. Zeger, 2013, Practical marginalized multilevel models, Statistics, 2, 129-142.
  • [5] P. Heagerty, 1999, Marginally specified logistic-normal models for longitudinal binary data, Biometrics, 55, 688-698.
  • [6] P. Heagerty, S. Zeger, 2000, Marginalized multilevel models and likelihood inference (with discussion), Statistical Science, 15, 1-26.
  • [7] G. Inan, 2018, Comments on “Marginalized multilevel hurdle and zero-inflated models for overdispersed and correlated count data with excess zeros”, Statistics in Medicine, 37, 324–326.
  • [8] W. Kassahun, T. Neyens, G. Molenberghs, C. Faes, G. Verbeke, 2014, Marginalized multilevel hurdle and zero-inflated models for overdispersed and correlated count data with excess zeros, Statistics in Medicine, 33(25), 4402-4419.
  • [9] K. Lee, Y. Joo, J.J. Song, D.W. Harper, 2011, Analysis of zero-inflated clustered count data: A marginalized model approach, Computational Statistics and Data Analysis, 55(1), 824-837.
  • [10] B, Neelon, A.J. O'Malley, V.A. Smith, 2016, Modeling zero-modified count and semi-continuous data in health services research Part 1: Back-ground and overview, Statistics in Medicine, 35(27), 5070-5093.
  • [11] B. Neelon, A.J. O'Malley, V.A. Smith, 2016, Modeling zero-modified count and semi-continuous data in health services research part 2: Case studies, Statistics in Medicine, 35(27), 5094-5112.
  • [12] M.K. Olsen, J.L. Schafer, 2001, A two-part random-effects model for semi-continuous longitudinal data, Journal of the American Statistical Association, 96(454), 730-745.
  • [13] M. Rodrigues-Motta, et al., 2015, A mixed-effect model for positive responses augmented by zeros, Statistics in Medicine, 34(10), 1761-1778.
  • [14] V.A. Smith, B. Neelon, M.L. Maciejewski, J.S. Preisser, 2017, Two parts are better than one: modeling marginal means of semi-continuous data, Health Services and Outcomes Research Methodology, 1-21.
  • [15] V.A. Smith, B. Neelon, J.S. Preisser, M.L. Maciejewski, 2017, A marginalized two-part model for longitudinal semi-continuous data, Statistical Methods in Medical Research, 26(4), 1949-1968.
  • [16] L. Su, B.D. Tom, V.T. Farewell, 2015, A likelihood-based two-part marginal model for longitudinal semi- continuous data, Statistical Methods in Medical Research, 24(2), 194-205.
  • [17] B.D. Tom, L. Su, V.T. Farewell, 2016, A corrected formulation for marginal inference derived from two- part mixed models for longitudinal semi-continuous data, Statistical Methods in Medical Research, 25(5), 2014-2020.
  • [18] B. Zhang, W. Liu, Y. Hu, 2017, Estimating marginal and incremental effects in the analysis of medical expenditure panel data using marginalized two-part random-effects generalized Gamma models: Evidence from China healthcare cost data, Statistical Methods in Medical Research, DOI:0962280217690770.

Details

Primary Language English
Journal Section Articles
Authors

Gül İNAN This is me (Primary Author)
ORTA DOĞU TEKNİK ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ
0000-0002-3981-9211
Türkiye

Publication Date June 29, 2018
Published in Issue Year 2018, Volume 11, Issue 1

Cite

Bibtex @research article { jssa437691, journal = {İstatistikçiler Dergisi:İstatistik ve Aktüerya}, issn = {1308-0539}, eissn = {1308-0539}, address = {}, publisher = {Aktüerya Derneği}, year = {2018}, volume = {11}, number = {1}, pages = {23 - 31}, title = {A marginalized multilevel random effects model for longitudinal semi-continuous data}, key = {cite}, author = {İnan, Gül} }
APA İnan, G. (2018). A marginalized multilevel random effects model for longitudinal semi-continuous data . İstatistikçiler Dergisi:İstatistik ve Aktüerya , 11 (1) , 23-31 . Retrieved from https://dergipark.org.tr/en/pub/jssa/issue/37877/437691
MLA İnan, G. "A marginalized multilevel random effects model for longitudinal semi-continuous data" . İstatistikçiler Dergisi:İstatistik ve Aktüerya 11 (2018 ): 23-31 <https://dergipark.org.tr/en/pub/jssa/issue/37877/437691>
Chicago İnan, G. "A marginalized multilevel random effects model for longitudinal semi-continuous data". İstatistikçiler Dergisi:İstatistik ve Aktüerya 11 (2018 ): 23-31
RIS TY - JOUR T1 - A marginalized multilevel random effects model for longitudinal semi-continuous data AU - Gülİnan Y1 - 2018 PY - 2018 N1 - DO - T2 - İstatistikçiler Dergisi:İstatistik ve Aktüerya JF - Journal JO - JOR SP - 23 EP - 31 VL - 11 IS - 1 SN - 1308-0539-1308-0539 M3 - UR - Y2 - 2018 ER -
EndNote %0 Journal of Statisticians: Statistics and Actuarial Sciences A marginalized multilevel random effects model for longitudinal semi-continuous data %A Gül İnan %T A marginalized multilevel random effects model for longitudinal semi-continuous data %D 2018 %J İstatistikçiler Dergisi:İstatistik ve Aktüerya %P 1308-0539-1308-0539 %V 11 %N 1 %R %U
ISNAD İnan, Gül . "A marginalized multilevel random effects model for longitudinal semi-continuous data". İstatistikçiler Dergisi:İstatistik ve Aktüerya 11 / 1 (June 2018): 23-31 .
AMA İnan G. A marginalized multilevel random effects model for longitudinal semi-continuous data. JSSA. 2018; 11(1): 23-31.
Vancouver İnan G. A marginalized multilevel random effects model for longitudinal semi-continuous data. İstatistikçiler Dergisi:İstatistik ve Aktüerya. 2018; 11(1): 23-31.
IEEE G. İnan , "A marginalized multilevel random effects model for longitudinal semi-continuous data", İstatistikçiler Dergisi:İstatistik ve Aktüerya, vol. 11, no. 1, pp. 23-31, Jun. 2018