Student'sz,t, ands
- 1 February 2008
- journal article
- Published by Informa UK Limited in The American Statistician
- Vol. 62 (1), 64-69
- https://doi.org/10.1198/000313008x269602
Abstract
The year 2008 marks the 100th anniversary of the publication of The Probable Error of a Mean by William Sealy Gosset, nom de plume “Student.” Gosset's work and his relationships with the leading statisticians of his day have been considered by several authorities. Despite the extensive documentation, and the seminal nature of the work, modern-day statistics textbooks give him, and this 1908 article, short shrift. Thus, few of today's students—or their teachers—are aware of the “z” statistic whose sampling distribution he actually derived, the mathematical derivation, his simulations to check his work, the material used in the simulations, the table he produced, the “one-line” missing proof supplied by the 22-year-old Fisher (still a student himself) or the subsequent switch, in collaboration with Fisher, from the z to the t statistic. We remind readers of these aspects, and rework his calculations using 21st century computing power. We hope that the next generation of statisticians come to know more about the man and his work than simply that “he worked for the Guinness brewery,” and appreciate that not all statistical distributions are derived in a single pass. Research students would do well to use his 1908 article as a model when writing their first statistical article.Keywords
This publication has 15 references indexed in Scilit:
- The PDF of a Function of a Random VariableThe American Statistician, 2006
- Biometrika: The first 100 yearsBiometrika, 2001
- “Student” and small-sample theoryStatistical Science, 1999
- Stochastic Simulation in the Nineteenth CenturyStatistical Science, 1991
- A Biographical Glimpse of William Sealy GossetThe American Statistician, 1984
- Gosset, Fisher, and the t DistributionThe American Statistician, 1981
- On the Transition from "Student's" z to "Student's" tThe American Statistician, 1979
- “STUDENT”Annals of Eugenics, 1939
- "Student" as a ManBiometrika, 1939
- On the Calculation of the most Probable Values of Frequency-Constants, for Data arranged according to Equidistant Division of a ScaleProceedings of the London Mathematical Society, 1897