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
Download:
IMEKO-WC-2015-TC21-426.pdf
DOI:
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Event details
Event name:
XXI IMEKO World Congress
Title:

Measurement in Research and Industry

Place:
Prague, CZECH REPUBLIC
Time:
30 August 2015 - 04 September 2015