Abstract

Consider the one way unbalanced components of variance model given by Yij = μ + Ai + Eij, (i = l, ... ,a, j = l, ... ,bi) where μ is an unknown constant parameter, Ai and Eij are independent normal random variables with zero means and variances σ2A and σ2E respectively,

The problem is to obtain a confidence interval for σ2A with confidence coefficient greater than or equal to a specified 1 - α. Three new procedures for obtaining confidence intervals for σ2A are examined. These new methods are derived using unweighted means. These three methods are compared with a "standard" procedure based on confidence coefficients and expected "widths".

.

Creative Commons License


This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Share

COinS
 
Apr 25th, 8:10 AM

CONFIDENCE INTERVALS FOR VARIANCE COMPONENTS IN ONE-WAY UNBALANCED DESIGNS

Consider the one way unbalanced components of variance model given by Yij = μ + Ai + Eij, (i = l, ... ,a, j = l, ... ,bi) where μ is an unknown constant parameter, Ai and Eij are independent normal random variables with zero means and variances σ2A and σ2E respectively,

The problem is to obtain a confidence interval for σ2A with confidence coefficient greater than or equal to a specified 1 - α. Three new procedures for obtaining confidence intervals for σ2A are examined. These new methods are derived using unweighted means. These three methods are compared with a "standard" procedure based on confidence coefficients and expected "widths".

.