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Generalized staggered nested designs for variance components estimation

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  • Yoshikazu Ojima

Abstract

Staggered nested experimental designs are the most popular class of unbalanced nested designs in practical fields. The most important features of the staggered nested design are that it has a very simple open-ended structure and each sum of squares in the analysis of variance has almost the same degrees of freedom. Based on the features, a class of unbalanced nested designs that is a generalization of the staggered nested design is proposed in this paper. Formulae for the estimation of variance components and their sums are provided. Comparing the variances of the estimators to the staggered nested designs, it is found that some of the generalized staggered nested designs are more efficient than the traditional staggered nested design in estimating some of the variance components and their sums. An example is provided for illustration.

Suggested Citation

  • Yoshikazu Ojima, 2000. "Generalized staggered nested designs for variance components estimation," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(5), pages 541-553.
    • Handle: RePEc:taf:japsta:v:27:y:2000:i:5:p:541-553
    DOI: 10.1080/02664760050076380
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    1. Yoshikazu Ojima, 1998. "General formulae for expectations, variances and covariances of the mean squares for staggered nested designs," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(6), pages 785-799.
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