1976•TechnometricsOpen access

Some Properties of Variance Component Estimators in the Two-Way Classification

Leone Y. Low

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Abstract

Specific small sample properties are investigated for the two-way model with no interaction. It is observed that each of the usual ANOVA yields estimators with smaller variance in respective snbspaces of the parameter space. The design matrix role is related to both of these. Some representative numerical examples are given.

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Specific small sample properties are investigated for the two-way model with no interaction. It is observed that each of the usual ANOVA yields estimators with smaller variance in respective snbspaces of the parameter space. The design matrix role is related to both of these. Some representative numerical examples are given.

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Available abstract

Specific small sample properties are investigated for the two-way model with no interaction. It is observed that each of the usual ANOVA yields estimators with smaller variance in respective snbspaces of the parameter space. The design matrix role is related to both of these. Some representative numerical examples are given.

Key concepts: Estimator, Variance components, Variance (accounting), Mathematics, Statistics, Component (thermodynamics), One-way analysis of variance, Sample (material)

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