On Estimating Variance Components of Two-Way Nested Random Model with Missing Information
Amany Mousa Mohammed
Department of Applied Statistics and Econometrics, Institute of Statistical Studies and Research, Cairo University, Egypt.
Ahmed Amin El-Sheikh
Department of Applied Statistics and Econometrics, Institute of Statistical Studies and Research, Cairo University, Egypt.
Alaa Sayed Shehata *
Department of Applied Statistics and Econometrics, Institute of Statistical Studies and Research, Cairo University, Egypt.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the estimators of variance components are derived of two-way nested random model when the problem of missing information exists using combination between Modified Minimum Variance Quadratic Unbiased Estimation (MMIVQUE) and Modified Minimum Variance Quadratic Unbiased Estimation (MMIVQUE (0)) methods that is called MMIV(MIV(0)) method.
Keywords: MINQUE, missing information, MIVQUE, variance components