## Statistical Science

### J. B. S. Haldane’s Contribution to the Bayes Factor Hypothesis Test

#### Abstract

This article brings attention to some historical developments that gave rise to the Bayes factor for testing a point null hypothesis against a composite alternative. In line with current thinking, we find that the conceptual innovation—to assign prior mass to a general law—is due to a series of three articles by Dorothy Wrinch and Sir Harold Jeffreys (1919, 1921, 1923a). However, our historical investigation also suggests that in 1932, J. B. S. Haldane made an important contribution to the development of the Bayes factor by proposing the use of a mixture prior comprising a point mass and a continuous probability density. Jeffreys was aware of Haldane’s work and it may have inspired him to pursue a more concrete statistical implementation for his conceptual ideas. It thus appears that Haldane may have played a much bigger role in the statistical development of the Bayes factor than has hitherto been assumed.

#### Article information

Source
Statist. Sci., Volume 32, Number 2 (2017), 313-329.

Dates
First available in Project Euclid: 11 May 2017

https://projecteuclid.org/euclid.ss/1494489818

Digital Object Identifier
doi:10.1214/16-STS599

Mathematical Reviews number (MathSciNet)
MR3648962

Zentralblatt MATH identifier
1381.62009

#### Citation

Etz, Alexander; Wagenmakers, Eric-Jan. J. B. S. Haldane’s Contribution to the Bayes Factor Hypothesis Test. Statist. Sci. 32 (2017), no. 2, 313--329. doi:10.1214/16-STS599. https://projecteuclid.org/euclid.ss/1494489818

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