John Tukey connected the theory underlying simple random sampling without replacement, cumulants, expected mean squares and spectrum analysis. He gave us one degree of freedom for nonadditivity, and
he pioneered finite population models for understanding ANOVA. He wrote widely on the nature and purpose of ANOVA, and he illustrated his approach. In this appreciation of Tukey's work on ANOVA we summarize and
comment on his contributions, and refer to some relevant recent literature.
Publié le : 2002-12-14
Classification:
Odoffna,
ANOVA,
moments,
cumulants,
$k$-statistics,
polykays,
variances,
components of variance,
mean squares,
factorials,
interactions,
pigenhold model,
62J10,
94A20
@article{1043351252,
author = {Speed, T. P.},
title = {John W. Tukey's contributions to analysis of variance},
journal = {Ann. Statist.},
volume = {30},
number = {1},
year = {2002},
pages = { 1649-1665},
language = {en},
url = {http://dml.mathdoc.fr/item/1043351252}
}
Speed, T. P. John W. Tukey's contributions to analysis of variance. Ann. Statist., Tome 30 (2002) no. 1, pp. 1649-1665. http://gdmltest.u-ga.fr/item/1043351252/