A SYNTHESIZED ESTIMATOR IN UNBALANCED NESTED DESIGNS WITH TWO STAGES

Seiichi Yasui, Yoshikazu Ojima

Abstract

Nested designs are one of experimental designs to evaluate and/or determine precision of measurement results, statistically. Unbalanced designs have interesting statistical problems, one of which is that an unbiased estimator of variance components is not unique. In our study, a new estimator of a variance component for the top stage of two-stages unbalanced nested designs is proposed. The performance of our estimator outperforms conventional estimators from the aspect of estimation accuracy.

Keywords

estimation of variance components, unbalanced nested designs, precision of measurement results

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IMEKO-WC-2015-TC21-426.pdf

DOI

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IMEKO TC

TC21 - Mathematical Tools for Measurements

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