Optimal Design for point and interval estimation of ratio of variance components in one way ANOVA model
2002
Himadri, G. (Indian Agricultural Statistics Research Institute, New Delhi (India))
In the present work, attempt has been made to estimate the ratio of variance components in one-way ANOVA model both in point estimation as well as interval estimation. Till now the variance components and in the linear model have been estimated separately from the expectations of the mean square due to different sources of variation. Under the assumption of normality of both the effects of different levels and the error components, the statistical independence between the sum of squares due to levels and errors has been established which helps to find out the unbiased estimator of . In case of interval estimation the sum of sqaures due to levels is being represented as a linear estimation of distribution which will give a set of confidence intervals of . Finally optimal design has been obtained which will minimize the large sample variance of the estimator and the maximum expected confidence length.
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