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An Estimate of Inter-Group Variance in One and Two-Way Designs

K. R. Shah
Sankhyā: The Indian Journal of Statistics, Series A (1961-2002)
Vol. 24, No. 3 (Aug., 1962), pp. 281-286
Published by: Springer on behalf of the Indian Statistical Institute
Stable URL: http://www.jstor.org/stable/25049219
Page Count: 6
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An Estimate of Inter-Group Variance in One and Two-Way Designs
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Abstract

A procedure for estimation of inter-block variance has been suggested as an alternative to the usual procedure given by Yates and others. A computational procedure to obtain this estimate is also given. The variance of this estimate is compared with that of the usual estimate when ρ, the ratio of the inter-block variance to the intra-block variance is large, say $\rho \geq \rho _{0}$, the estimate considered here has a smaller sampling variance. A table showing these values of $\rho _{0}$ is given for all BIB designs listed by Fisher and Yates. Similar procedures for estimating inter-row and inter-column variances are given for designs where the experimental material is symbolically arranged in rows and columns to eliminate heterogeneity in two directions.

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