Quantile dispersion graphs for analysis of variance estimates of variance components
作者:
A. I. Khuri,
期刊:
Journal of Applied Statistics
(Taylor Available online 1997)
卷期:
Volume 24,
issue 6
页码: 711-722
ISSN:0266-4763
年代: 1997
DOI:10.1080/02664769723440
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The exact distribution of an analysis of variance estimator of a variance component is obtained by determining its quantiles on the basis of R. B. Davies' algorithm. A plot of these quantiles provides useful information concerning the efficiency of the estimator, including the extent to which it can be negative. Furthermore, the variability in the values of each quantile is assessed by varying the values of the variance components for the model under consideration. The maximum and minimum of such quantile values can then be determined. A plot of the maxima and minima for various selected quantiles produces the so-called 'quantile dispersion graphs'. These graphs can be used to provide a comprehensive picture of the quality of estimation obtained with a particular design. They also provide an effective graphical tool for comparing designs on the basis of their estimation capabilities.
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