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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
  • DOI:
    _unreg_wc-2015.426

Event details:

  • IMEKO TC:
  • Event name:
    XXI IMEKO World Congress
  • Title:

    Measurement in Research and Industry

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