The ``Vierfeldertest'' of Carl Liebermeister (remarks concerning the development of medical statistics in 19th century)
type: Item
instance of: scholarly article
title: The ``Vierfeldertest'' of Carl Liebermeister (remarks concerning the development of medical statistics in 19th century)
zbMATH Open document ID: 0802.01006
author: R. Ineichen
published in: Historia Mathematica
publication date: 1994-12-12T00:00:00Z
review text: The test for the comparison of two probabilities as proposed in 1840 by \textit{L. D. J. Gavarett} (1809-1890) is only applicable when large samples are available. In 1877 the professor of medicine Carl Liebermeister (1833-1901) published a test for small samples using a model of balls drawn from two urns. It is in principle similar but slightly different from \textit{R. A. Fisher}'s exact test for \(2 \times 2\)-tables (1922). Liebermeister's formula is correct, its application was too cumbersome for his colleagues and so it received no attention. In 1948, \textit{D. J. Finney} computed comfortable tables for the evaluation of Fisher's exact test, they were extended by \textit{R. Latscha} (1953) and once more by \textit{B. M. Bennett} and \textit{P. Hsu} (1963). From a footnote by Liebermeister we learn, that always at that time he read lessons on probability and its application to medicine and science. 16 references.
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 62-03
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 62P10
zbMATH DE Number: 567606
zbMATH Keywords: L. D. J. Gavarett
zbMATH Keywords: R. A. Fisher
zbMATH Keywords: D. J. Finney
zbMATH Keywords: R. Latscha
zbMATH Keywords: B. M. Bennett
zbMATH Keywords: P. Hsu
zbMATH Keywords: medical statistics
zbMATH Keywords: hypothesis testing
zbMATH Keywords: Bayesian inference
zbMATH Keywords: \(2\times 2\) table
zbMATH Keywords: model of two urns and balls
zbMATH Keywords: exact test
reviewed by: Hilmar Grimm
MaRDI profile type: Publication
full work available at URL: hmat.1994.1006
OpenAlex ID: W2037503104
cites work: Q4002074
cites work: Q5588236
cites work: On the history of medical statistics
cites work: Q3803965
cites work: Q4309508
DOI: 10.1006/HMAT.1994.1006
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description: scientific article; zbMATH DE number 567606