.The paper discusses the contributions Student W. S. Gosset made to
the three stages in which small-sample methodology was established in the
period 1908–1933: (i) the distributions of the test-statistics under the
assumption of normality, (ii) the robustness of these distributions against
nonnormality, (iii) the optimal choice of test statistics. The conclusions are
based on a careful reading of the correspondence of Gosset with Fisher and E.
S. Pearson.
Publié le : 1999-11-01
Classification:
History of statistics,
‘‘exact’’ distribution
theory,
assumption of normality,
robustness,
hypothesis testing,
Neyman–Pearson theory
@article{1009212520,
author = {Lehmann, E. L.},
title = {``Student'' and small-sample theory},
journal = {Statist. Sci.},
volume = {14},
number = {1},
year = {1999},
pages = { 418-426},
language = {en},
url = {http://dml.mathdoc.fr/item/1009212520}
}
Lehmann, E. L. “Student” and small-sample theory. Statist. Sci., Tome 14 (1999) no. 1, pp. 418-426. http://gdmltest.u-ga.fr/item/1009212520/