VARIANCE-COMPONENTS IN THE 2-WAY NESTED MODEL WITH INCOMPLETE NESTINGINFORMATION

Citation
Rg. Song et Sa. Shulman, VARIANCE-COMPONENTS IN THE 2-WAY NESTED MODEL WITH INCOMPLETE NESTINGINFORMATION, Technometrics, 39(1), 1997, pp. 71-80
Citations number
6
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
ISSN journal
00401706
Volume
39
Issue
1
Year of publication
1997
Pages
71 - 80
Database
ISI
SICI code
0040-1706(1997)39:1<71:VIT2NM>2.0.ZU;2-Y
Abstract
When part of the nesting information in a two-way nested model is miss ing, there has been no way to use all of the data in the analysis of v ariance components. Discarding the data with missing nesting informati on loses useful information, and in some circumstances, this approach cannot separate variance components from one another. To make use of t he data with missing nesting information, computable sums of squares f or the data with missing nesting information can be linearly combined with sums of squares for the data with complete nesting information. P respecified weights are needed for the combination. Different estimate s are obtained by using different weights. Because all of these estima tors are unbiased, variances and covariances of these estimators are d erived and used to compare these estimators. In addition, a simulation study is conducted to provide evidence for the reliability of the var iances and covariances formulas. Finally, as an application, the propo sed methods are applied to the analysis of a proficiency testing progr am.