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Estimation of variance components in one-way random model with completely missing information

Author Affiliations

  • 1Department of Applied Statistics and Econometrics, Institute of Statistical Studies and Research, Cairo University, Egypt
  • 2Department of Applied Statistics and Econometrics, Institute of Statistical Studies and Research, Cairo University, Egypt
  • 3Department of Applied Statistics and Econometrics, Institute of Statistical Studies and Research, Cairo University, Egypt

Res. J. Mathematical & Statistical Sci., Volume 7, Issue (1), Pages 7-16, January,12 (2019)

Abstract

In this paper, the estimators of variance components are derived of one-way random model when the problem of missing information exists using combination between Modified Minimum Variance Quadratic Unbiased Estimation (MMIVQUE) and Analysis of Variance (ANOVA) methods that is called MMIV (ANOVA) method.

References

  1. Saleh A.A. and El-Sheikh A.A. (2002)., Estimation of Variance Components for Three-Stage Unbalanced Nested Random Mixed Models with Incomplete Information., Proceeding of the 37th Annual Conference On Statistics, Computer Sciences and Operation Researche. I.S.S.R. Cairo University, Egypt, 1-15.
  2. Song R. and Shulman S.A. (1997)., Variance components in the two-way nested model with incomplete nesting information., Technometrics, 39(1), 71-80.
  3. Saleh A.A. and El-Sheikh A.A. (2003)., Estimation of Variance Components for Three-Stage Unbalanced Nested Random Mixed Models with Complete Missing Information (C.M.I)., Proceeding of the 38th Annual Conference On Statistics, Computer Sciences and Operation Research. I.S.S.R. Cairo University, Egypt, 13-16.
  4. Subramani J. (2012)., On Modified Minimum Variance Quadratic Unbiased Estimation (MIVQUE) of Variance Components in Mixed Linear Models., Model assisted statistics and applications, 7(3), 179-200.
  5. Rao C.R. (1970)., Estimation of heteroscedastic variances in linear models., Journal of the American Statistical Association, 65(329), 161-172.
  6. Rao C.R. (1971)., Minimum Variance Quadratic Unbiased Estimation of Variance Components., Journal of Multivariate Analysis, 1(4), 445-456.
  7. Swallow W.H. and Searle S.R. (1978)., Minimum Variance Quadratic Unbiased Estimation (MIVQUE) of Variance Components., Technometrics, 20(3), 265-272.