Francis Anscombe
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Francis John Anscombe (13 May 1918 – 17 October 2001) was an English statistician. Born in
Hove Hove is a seaside resort and one of the two main parts of the city of Brighton and Hove, along with Brighton in East Sussex, England. Originally a "small but ancient fishing village" surrounded by open farmland, it grew rapidly in the 19th c ...
in England, Anscombe was educated at
Trinity College Trinity College may refer to: Australia * Trinity Anglican College, an Anglican coeducational primary and secondary school in , New South Wales * Trinity Catholic College, Auburn, a coeducational school in the inner-western suburbs of Sydney, New ...
at
Cambridge University The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209 and granted a royal charter by Henry III of England, Henry III in 1231, Cambridge is the world' ...
. After serving in the Second World War, he joined
Rothamsted Experimental Station Rothamsted Research, previously known as the Rothamsted Experimental Station and then the Institute of Arable Crops Research, is one of the oldest agricultural research institutions in the world, having been founded in 1843. It is located at Har ...
for two years before returning to Cambridge as a lecturer. In
experiment An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. Experiments provide insight into Causality, cause-and-effect by demonstrating what outcome oc ...
s, Anscombe emphasized
randomization Randomization is the process of making something random. Randomization is not haphazard; instead, a random process is a sequence of random variables describing a process whose outcomes do not follow a deterministic pattern, but follow an evolution d ...
in both the design and analysis phases. In the
design A design is a plan or specification for the construction of an object or system or for the implementation of an activity or process or the result of that plan or specification in the form of a prototype, product, or process. The verb ''to design' ...
phase, Anscombe argued that the experimenters should
randomize Randomization is the process of making something random. Randomization is not haphazard; instead, a random process is a sequence of random variables describing a process whose outcomes do not follow a deterministic pattern, but follow an evolution d ...
the labels of blocks. In the
analysis Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (3 ...
phase, Anscombe argued that the randomization plan should guide the analysis of data; Anscombe's approach has influenced
John Nelder John Ashworth Nelder (8 October 1924 – 7 August 2010) was a British statistician known for his contributions to experimental design, analysis of variance, computational statistics, and statistical theory. Contributions Nelder's work was inf ...
and R. A. Bailey in particular. He moved to
Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...
in 1956, and in the same year he was elected as a
Fellow of the American Statistical Association Like many other academic professional societies, the American Statistical Association (ASA) uses the title of Fellow of the American Statistical Association as its highest honorary grade of membership. The number of new fellows per year is limited ...
. He became the founding chairman of the statistics department at
Yale University Yale University is a Private university, private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the List of Colonial Colleges, third-oldest institution of higher education in the United Sta ...
in 1963. According to David Cox, his best-known work may be his 1961 account of formal properties of residuals in linear regression. His earlier suggestion for a
variance-stabilizing transformation In applied statistics, a variance-stabilizing transformation is a data transformation that is specifically chosen either to simplify considerations in graphical exploratory data analysis or to allow the application of simple regression-based or anal ...
for Poisson data is often known as the Anscombe transform. He later became interested in statistical computing, and stressed that "a computer should make both calculations ''and'' graphs", and illustrated the importance of graphing data with four data sets now known as Anscombe's quartet. He later published a textbook on statistical computing in APL. In
economics Economics () is the social science that studies the production, distribution, and consumption of goods and services. Economics focuses on the behaviour and interactions of economic agents and how economies work. Microeconomics analyzes ...
and
decision theory Decision theory (or the theory of choice; not to be confused with choice theory) is a branch of applied probability theory concerned with the theory of making decisions based on assigning probabilities to various factors and assigning numerical ...
he is best known for a 1963 paper with
Robert Aumann Robert John Aumann (Hebrew name: , Yisrael Aumann; born June 8, 1930) is an Israeli-American mathematician, and a member of the United States National Academy of Sciences. He is a professor at the Center for the Study of Rationality in the Hebrew ...
which provides the standard basis for the theory of subjective probability. He was
brother-in-law A sibling-in-law is the spouse of one's sibling, or the sibling of one's spouse, or the person who is married to the sibling of one's spouse.Cambridge Dictionaries Online.Family: non-blood relations. More commonly, a sibling-in-law is referre ...
to another well-known statistician, John Tukey of
Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...
; their wives were sisters.


References

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External links

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Francis John Anscombe Papers.
Manuscripts and Archives, Yale University Library. {{DEFAULTSORT:Anscombe, Francis J Rothamsted statisticians English statisticians American statisticians Yale University faculty Cambridge mathematicians Academics of the University of Cambridge Alumni of Trinity College, Cambridge People from Hove 1918 births 2001 deaths Fellows of the American Statistical Association Burials at Princeton Cemetery English expatriates in the United States