Best Quadratic unbiased Estimator for Variance Component of One-Way Repeated Measurement Model
DOI:
https://doi.org/10.24297/jam.v14i1.7342Keywords:
Quadratic Estimator, Repeated Measurement Model, ANOVA Method, Variance Components, Quadratic FormAbstract
The studies of analysis of variance components is one of the important topics in mathematical statistics for this subject of wide application. In this paper given best quadratic unbiased estimator of variance components for balanced data for linear one-way repeated measurement model (RMM). We computed the quadratic unbiased estimator, which has minimum variance (best quadratic unbiased estimate (BQUE)) by using analysis of variance (ANOVA) method of estimating the variance components.
Downloads
Download data is not yet available.
References
[1] AL-Mouel, A. H. S., A.J. Mohaisen and Khawla (2017). Bayesian One- Way Repeated Measurements Model Based on Bayes Quadratic Unbiased Estimator, Journal of Advance in Mathematics, Vol. 13, No. 2, pp. 7176-7182.
[2] AL-Mouel, A. H. S. and Wang, J. L. (2004). One-Way Multivariate Repeated Measurements Analysis of Variance Model. Applied Mathematics a Journal of Chinese Universities, 19, 4, 435-448.
[3] AL-Mouel, A. H. S. (2004). Nested repeated measures model sufficiency and estimation. Chinese Journal of Applied Probability and Statistics, 20, 133-146.
[4] Crump S. L. (1946), The estimation of variance components in the analysis of variance , Biometrics Bulletin ,Vol. 2 ,pp. 7-11.
[5] Graybill F.A. (1954), On quadratic estimates of variance components, Journal paper No. J-2-171 of the Iowa Agricultural Experiment Station, Ames, Iowa, pp. 367-372.
[6] James R. S. (2017), Matrix Analysis for Statistics ,Third Edition, John Wiley & Sons, Inc., Canada.
[7] Rao, C. R. (1971b), Minimum variance quadratic unbiased estimation of variance components. J. Multivariate Anal., 1(4), 445–456.
[8] Sahai, H. and Ojeda, M. M. (2005), Analysis of variance for random models, BirkhÓ“user Boston, USA.
[9] Vonesh, E.F. and Chinchilli, V. M. (1997) linear and nonlinear models for the analysis of Repeated Measurements, Marcel Dakker, Inc. New York.
[2] AL-Mouel, A. H. S. and Wang, J. L. (2004). One-Way Multivariate Repeated Measurements Analysis of Variance Model. Applied Mathematics a Journal of Chinese Universities, 19, 4, 435-448.
[3] AL-Mouel, A. H. S. (2004). Nested repeated measures model sufficiency and estimation. Chinese Journal of Applied Probability and Statistics, 20, 133-146.
[4] Crump S. L. (1946), The estimation of variance components in the analysis of variance , Biometrics Bulletin ,Vol. 2 ,pp. 7-11.
[5] Graybill F.A. (1954), On quadratic estimates of variance components, Journal paper No. J-2-171 of the Iowa Agricultural Experiment Station, Ames, Iowa, pp. 367-372.
[6] James R. S. (2017), Matrix Analysis for Statistics ,Third Edition, John Wiley & Sons, Inc., Canada.
[7] Rao, C. R. (1971b), Minimum variance quadratic unbiased estimation of variance components. J. Multivariate Anal., 1(4), 445–456.
[8] Sahai, H. and Ojeda, M. M. (2005), Analysis of variance for random models, BirkhÓ“user Boston, USA.
[9] Vonesh, E.F. and Chinchilli, V. M. (1997) linear and nonlinear models for the analysis of Repeated Measurements, Marcel Dakker, Inc. New York.
Downloads
Published
2018-04-30
How to Cite
AL-Mouel, A. S., & Ali, J. M. (2018). Best Quadratic unbiased Estimator for Variance Component of One-Way Repeated Measurement Model. JOURNAL OF ADVANCES IN MATHEMATICS, 14(1), 7615–7623. https://doi.org/10.24297/jam.v14i1.7342
Issue
Section
Articles
License
All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.
