John W. Tukey's contributions to analysis of variance

DOI10.1214/aos/1043351252zbMath1018.62051OpenAlexW1986218641MaRDI QIDQ1873613

Terence P. Speed

Publication date: 16 September 2003

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1043351252

zbMATH Keywords

momentsinteractionscumulantsANOVApolykaysfactorialsvariancescomponents of variancek-statisticsmean squaresOdoffnapigeonhole model

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (2)

A direct calculation of moments of the sample variance ⋮ The effect of interaction and rounding error in two-way ANOVA: example of impact on testing for normality

Cites Work

• Multiple products of polykays using ordered partitions
• What is an analysis of variance?
• k-statistics and dispersion effects in regression
• Direct products and linear models for complete factorial tables
• Fixed, Mixed, and Random Models
• CUMULANTS AND PARTITION LATTICES1
• Factorial Dispersion Models
• Variances of Variance-Component Estimators for the Unbalanced 2-Way Cross Classification with Application to Balanced Incomplete Block Designs
• The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance
• On a Preliminary Test for Pooling Mean Squares in the Analysis of Variance
• MOMENT COEFFICIENTS OF THE k-STATISTICS IN SAMPLES FROM A FINITE POPULATION
• The combinatorial development of the cumulants of thek-statistics
• Statistical Seminvariants and Their Setimates with Particular Emphasis on Their Relation to Algebraic Invariants
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