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A SYNTHESIZED ESTIMATOR IN UNBALANCED NESTED DESIGNS WITH TWO STAGES
Seiichi Yasui, Yoshikazu Ojima
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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.
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Keywords:estimation of variance components, unbalanced nested designs, precision of measurement results
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DOI:_unreg_wc-2015.426
Event details:
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IMEKO TC:
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Event name:XXI IMEKO World Congress
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Title:
Measurement in Research and Industry
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Place:Prague, CZECH REPUBLIC
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Time:30 August 2015 - 04 September 2015