A synthesized estimator in unbalanced nested designs with two stages

Seiichi Yasui, Yoshikazu Ojima

Research output: Contribution to conferencePaperpeer-review

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.

Original languageEnglish
Publication statusPublished - 1 Jan 2015
Event21st IMEKO World Congress on Measurement in Research and Industry - Prague, Czech Republic
Duration: 30 Aug 20154 Sep 2015

Conference

Conference21st IMEKO World Congress on Measurement in Research and Industry
Country/TerritoryCzech Republic
CityPrague
Period30/08/154/09/15

Keywords

  • Estimation of variance components
  • Precision of measurement results
  • Unbalanced nested designs

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