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August 1, 1972Technometrics

Type-I Error and Power of a Test Involving a Satterthwaite's Approximate F-Statistic

James M. Davenport J. T. Webster

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Abstract

Key Words: Approximate F-StatisticRobustness of Prob. of Type I ErrorFisher-Behren ProblemVariance ComponentsPower

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Cite This Study

Davenport et al. (1972) studied this question.

synapsesocial.com/papers/6a0f64de64e8141cd25fa730 https://doi.org/10.1080/00401706.1972.10488945

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way ClassificationOriginal Research · 1954 · 1,515 citations
2Testing a Linear Relation among VariancesOriginal Research · 1951 · 221 citations
3The Components of Genetic Variance in Populations of Biparental Progenies and Their Use in Estimating the Average Degree of DominanceOriginal Research · 1948 · 633 citations
4Estimating the Degrees of Freedom for Linear Combinations of Mean Squares by Satterthwaite's FormulaOriginal Research · 1969 · 104 citations
5Test for the significance of the difference between means in two normal populations having unequal variancesOriginal Research · 1951 · 24 citations

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An Alternative to Satterthwaite's Test Involving Positive Linear Combinations of Variance Components1970
Application of the Method of Mixtures to Quadratic Forms in Normal Variates1949
A New Result on the Distribution of Quadratic Forms1963

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