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Incoming links: William Sealy Gosset
By Philip J. Boland, contributor to the Dictionary of Irish Biography, a Royal Irish Academy project. William Sealy Gosset is the biographical subject. Originally published October 2009; last revised October 2009.
Inspected locators: opening profession and employment paragraphs; pseudonym discussion; final biographical paragraph; Publishing information.
History of Student's t-distribution 2026-10-18
William Sealy Gosset worked at Guinness as a chemist and brewer and developed methods of statistical inference for small samples. He published under the pseudonym "Student". His employment as a chemist is independently recorded by MacTutor; the Dictionary of Irish Biography identifies him as an applied statistician and brewer and explains the pseudonym policy. [ref]
William Sealy Gosset by John Joseph O'Connor and Edmund Frederick Robertson. Biography, opening paragraphs and discussion of the name Student
[ref]Gosset, William Sealy (‘Student’) by Philip J. Boland. Philip J. Boland, Gosset, William Sealy ('Student'), opening paragraphs and pseudonym discussion; published and last revised October 2009
The 1908 paper The Probable Error of a Mean appeared in Biometrika 6(1), pages 1–25, with the byline "Student". Its introduction identifies the uncertainty introduced by estimating a standard deviation from few observations and explicitly assumes a normal distribution. Sections II and III develop the relation between sample spread and the standardized sample mean. Its notation uses a sample spread with divisor and calls the ratio ; with that convention, the modern equals . The modern exact independence argument is given under studentized normal sample mean. [ref]
The Probable Error of a Mean by William Sealy Gosset. 1908 original text: byline, Introduction, Section I definition of sample spread, and Sections II–III
Section VI describes a physical sampling check: 3,000 cards carrying existing paired measurements were shuffled, then divided into 750 groups of four. He compared observed frequencies of sample spread and standardized sample mean with theoretical frequencies. This was a check using finite, grouped, approximately normal distribution data; it did not prove exact calibration for arbitrary populations. [ref]
The Probable Error of a Mean by William Sealy Gosset. Section VI, Practical Test of the foregoing Equations: cards, groups of four and limitations from nonnormality and coarse grouping
By William Sealy Gosset, published under the pseudonym Student. Biometrika 6(1), 1–25, March 1908. Wikisource hosts the inspected transcription of the original paper; its editing dates are not journal publication dates.
Inspected text: en.wikisource.org/wiki/The_Probable_Error_of_a_Mean
Inspected locators: original title and Student byline; Introduction; Sections II, III and VI. Historical notation differs from the modern convention.
By John Joseph O'Connor and Edmund Frederick Robertson, credited as J J O’Connor and E F Robertson, in the University of St Andrews MacTutor History of Mathematics archive. Last Update: October 2003; this is an online revision date. William Sealy Gosset is the subject, not the author.
Inspected locators: Quick Info; opening employment paragraph; discussion of the Student pseudonym; Written by and Last Update footer.