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1954•The Annals of Mathematical StatisticsOpen access

On Quadratic Estimates of Variance Components

Franklin A. Graybill

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Abstract

In this paper quadratic estimates of variance components are considered. For the general balanced nested classification with no specific distributions assumed, it is shown that the quadratic estimate which is unbiased and which has minimum variance is given by the analysis of variance method of estimating the variance components.

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What this paper is about

In this paper quadratic estimates of variance components are considered. For the general balanced nested classification with no specific distributions assumed, it is shown that the quadratic estimate which is unbiased and which has minimum variance is given by the analysis of variance method of estimating the variance components.

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Available abstract

In this paper quadratic estimates of variance components are considered. For the general balanced nested classification with no specific distributions assumed, it is shown that the quadratic estimate which is unbiased and which has minimum variance is given by the analysis of variance method of estimating the variance components.

Key concepts: Mathematics, Variance (accounting), Variance components, Law of total variance, One-way analysis of variance, Variance-based sensitivity analysis, Quadratic equation, Statistics

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