International Journal of Nonlinear Analysis and Applications
Some inference of the repeated measurements model
Document Type : Research Paper
Authors
Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq
Abstract
This paper is dedicated to studying the repeated measurements model (RMM). We investigate the analysis of variance (ANOVA) of the model and identify the confidence intervals of the variance components and identify the analytic form of the likelihood- ratio test for the model.
Keywords
[1] S.S. Abbas, Multivariate repeated measurements analysis of covariance model with covariates and sphericity test, M.Sc. thesis. College of Education. University of Basrah, Iraq, 2011.
[2] A.S. Fakhir, ovariates in two-way multivariate repeated measurements design, M.Sc. thesis. College of Education. University of Basrah, Iraq, 2010.
[3] H. J. Keselman, C.J. Huberty, L.M. Lix, S. Olejnik, R.A. Cribbie, B. Donahue, R.K. Kowalchuk, L.L. Lowman, M.D. Petoskey, J.C. Keselman and J.R. Levin, Statistical practices of educational researchers: An analysis of their ANOVA, MANOVA, and ANCOVA analysis, Rev. Educational Res. 68 (1998) 350–386.
[4] A. H.S. AL- Mouel and J.M. AL-Isawi, Best quadratic unbiased estimator for variance components of onewayrepeated measurements model, J. Adv. Math. 14 (01) (2018).
[5] A. H.S. AL- Mouel, and J.M. AL-Isawi, On quadratic unbiased estimator for variance components of one-way repeated measurements model, J. Al-Qadisiyah Comput. Sci. Math. 11(3) (2019) 12–23.
[6] A. H.S. AL- Mouel and J.M. AL-Isawi, Minimum-quadratic estimator of variance components for the repeated measurements model by a new approach, Heliyon J. (2019) 6e02665.
[7] A. H.S. AL- Mouel and N.O. Jassim, Lasso estimator for high-dimensional repeated measurements model. AIPConference Proceedings, (2020).
[8] H.Z. Naji, “Covariates in the Analysis of Multivariate Repeated Measurements ”, M.Sc. Thesis, University of Basrah, 2008.
[9] A. H. S. AL-Mouel, and J. L. Wang, One-way multivariate repeated measurements analysis of variance model, Appl. Math. J. Chinese Univer. 19(4) (2004) 435–448.
[10] AL- Shmailawi and R.S. Hassan, A study on one-way repeated measurements model. M.Sc. thesis, college of education for pure sciences, university of Basrah, Iraq, 2016.
[2] A.S. Fakhir, ovariates in two-way multivariate repeated measurements design, M.Sc. thesis. College of Education. University of Basrah, Iraq, 2010.
[3] H. J. Keselman, C.J. Huberty, L.M. Lix, S. Olejnik, R.A. Cribbie, B. Donahue, R.K. Kowalchuk, L.L. Lowman, M.D. Petoskey, J.C. Keselman and J.R. Levin, Statistical practices of educational researchers: An analysis of their ANOVA, MANOVA, and ANCOVA analysis, Rev. Educational Res. 68 (1998) 350–386.
[4] A. H.S. AL- Mouel and J.M. AL-Isawi, Best quadratic unbiased estimator for variance components of onewayrepeated measurements model, J. Adv. Math. 14 (01) (2018).
[5] A. H.S. AL- Mouel, and J.M. AL-Isawi, On quadratic unbiased estimator for variance components of one-way repeated measurements model, J. Al-Qadisiyah Comput. Sci. Math. 11(3) (2019) 12–23.
[6] A. H.S. AL- Mouel and J.M. AL-Isawi, Minimum-quadratic estimator of variance components for the repeated measurements model by a new approach, Heliyon J. (2019) 6e02665.
[7] A. H.S. AL- Mouel and N.O. Jassim, Lasso estimator for high-dimensional repeated measurements model. AIPConference Proceedings, (2020).
[8] H.Z. Naji, “Covariates in the Analysis of Multivariate Repeated Measurements ”, M.Sc. Thesis, University of Basrah, 2008.
[9] A. H. S. AL-Mouel, and J. L. Wang, One-way multivariate repeated measurements analysis of variance model, Appl. Math. J. Chinese Univer. 19(4) (2004) 435–448.
[10] AL- Shmailawi and R.S. Hassan, A study on one-way repeated measurements model. M.Sc. thesis, college of education for pure sciences, university of Basrah, Iraq, 2016.
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Volume 12, Issue 2
November 2021Pages 569-581
- Receive Date: 03 March 2021
- Revise Date: 11 April 2021
- Accept Date: 21 April 2021