Control Chart Method for Analyzing Staggered Nested Data

Ojima, Yoshikazu

doi:10.1007/978-3-642-59239-3_18

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2000

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“…Nelson (1995a, b) illustrated the point estimation procedure and approximate con® dence limits of variance components. Ojima (1997) applied the control chart method for analysing staggered nested data. Khattree & Naik (1995) proposed a statistical test for variance components in the staggered nested designs.…”

Section: Introductionmentioning

confidence: 99%

Generalized staggered nested designs for variance components estimation

Ojima

2000

Journal of Applied Statistics

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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.

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Section: Introductionmentioning

confidence: 99%

Generalized staggered nested designs for variance components estimation

Ojima

2000

Journal of Applied Statistics

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Control Chart Method for Analyzing Staggered Nested Data

Cited by 1 publication

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Generalized staggered nested designs for variance components estimation

Generalized staggered nested designs for variance components estimation

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