# William Sealy Gosset

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William Sealy Gosset

Student in 1908
Born June 13, 1876
Canterbury, Kent, England
Died October 16, 1937 (aged 61)
Beaconsfield, Buckinghamshire, England
Known for Student's t-distribution

William Sealy Gosset (June 13, 1876–October 16, 1937) is famous as a statistician, best known by his pen name Student and for his work on Student's t-distribution.

## Life and career

Born in Canterbury, England to Agnes Sealy Vidal and Colonel Frederic Gosset, Gosset attended Winchester College before reading chemistry and mathematics at New College, Oxford. Upon graduating in 1899, he joined the brewery of Arthur Guinness & Son in Dublin, Ireland.

Guinness was a progressive agro-chemical business and Gosset would apply his statistical knowledge — both in the brewery and on the farm — to the selection of the best yielding varieties of barley. Gosset acquired that knowledge by study, trial and error and by spending two terms in 1906 – 07 in the biometrical laboratory of Karl Pearson. Gosset and Pearson had a good relationship and Pearson helped Gosset with the mathematics of his papers. Pearson helped with the 1908 papers but he had little appreciation of their importance. The papers addressed the brewer's concern with small samples, while the biometrician typically had hundreds of observations and saw no urgency in developing small-sample methods.

Another researcher at Guinness had previously published a paper containing trade secrets of the Guinness brewery. To prevent further disclosure of confidential information, Guinness prohibited its employees from publishing any papers regardless of the contained information. However, after pleading with the brewery and explaining that his mathematical and philosophical conclusions were of no possible practical use to competing brewers, he was allowed to publish them, but under a pseudonym ("Student"), to avoid difficulties with the rest of the staff.[1] Thus his most noteworthy achievement is now called Student's t-distribution, but otherwise it might have been named Gosset's t-distribution.

Gosset had almost all of his papers including The probable error of a mean published in Pearson's journal Biometrika using the pseudonym Student. However, it was Ronald A. Fisher who appreciated the importance of Gosset's small-sample work, after Gosset had written to him to say I am sending you a copy of Student's Tables as you are the only man that's ever likely to use them!. Fisher believed that Gosset had effected a "logical revolution". Gosset's statistic was $z=\frac{t}{\sqrt{n-1}}$. Fisher introduced the t-form because it fit in with his theory of degrees of freedom. Fisher was also responsible for the applications of the t-distribution to regression analysis.

Although introduced by others, Studentized residuals are named in Student's honor because, like the problem that led to Student's t-distribution, the idea of adjusting for estimated standard deviations is central to that concept.

Gosset's interest in the cultivation of barley led him to speculate that the design of experiments should aim, not only at improving the average yield, but also at breeding varieties whose yield was insensitive (robust) to variation in soil and climate. This principle only appeared in the later thought of Ronald Fisher, and then in the work of Genichi Taguchi during the 1950s.

In 1935, Gosset left Dublin to take up the position of Head Brewer, in charge of the scientific side of production, at a new Guinness brewery at Park Royal in northwestern London. Gossett died two years later in Beaconsfield, England, of a heart attack.

Gosset was a friend of both Pearson and Fisher, a noteworthy achievement, for each had a massive ego and a loathing for the other.[citation needed] Gosset was a modest man who once cut short an admirer with the comment that "Fisher would have discovered it all anyway."

## References

1. ^ Hotelling, H.. British Statistics and Statisticians Today. Journal of the American Statistical Association. 1930;25:186–190.

## Bibliography

• ‘Student’s’ Collected Papers (edited by E.S. Pearson and John Wishart, with a foreword by Launce McMullen), London: Biometrika Office. (1942)

## Biographies

• E. S. Pearson (1990) ‘Student’, A Statistical Biography of William Sealy Gosset, Edited and Augmented by R. L. Plackett with the Assistance of G. A. Barnard, Oxford: University Press.
• E. S. Pearson, "'Student' as Statistician, Biometrika Vol. 30, No. 3/4 (Jan., 1939), pp. 210-250.