John Tukey

John Tukey

John Wilder Tukey
Born June 16, 1915(1915-06-16)
New Bedford, Massachusetts, USA
Died July 26, 2000(2000-07-26) (aged 85)
New Brunswick, New Jersey
Residence United States
Nationality American
Fields Mathematician
Institutions Bell Labs
Princeton University
Alma mater Brown University
Princeton University
Doctoral advisor Solomon Lefschetz
Doctoral students Frederick Mosteller
Kai Lai Chung
Known for FFT algorithm
Box plot
Coining the term 'bit'
Notable awards Samuel S. Wilks Award (1965)
National Medal of Science (USA) in Mathematical, Statistical, and Computational Sciences (1973)
Shewhart Medal (1976)
IEEE Medal of Honor (1982)
Deming Medal (1982)
James Madison Medal (1984)
Foreign Member of the Royal Society (1991)

John Wilder Tukey ForMemRS[1] (June 16, 1915 – July 26, 2000) was an American statistician best known for development of the FFT algorithm and box plot.

Contents

Biography

Tukey was born in New Bedford, Massachusetts in 1915, and obtained a B.A. in 1936 and M.Sc. in 1937, in chemistry, from Brown University, before moving to Princeton University where he received a Ph.D. in mathematics.[2]

During World War II, Tukey worked at the Fire Control Research Office and collaborated with Samuel Wilks and William Cochran. After the war, he returned to Princeton, dividing his time between the university and AT&T Bell Laboratories.

Among many contributions to civil society, Tukey served on a committee of the American Statistical Association that produced a report challenging the conclusions of the Kinsey Report, Statistical Problems of the Kinsey Report on Sexual Behavior in the Human Male.

He was awarded the IEEE Medal of Honor in 1982 "For his contributions to the spectral analysis of random processes and the fast Fourier transform (FFT) algorithm."

Tukey retired in 1985. He died in New Brunswick, New Jersey on July 26, 2000.

Scientific contributions

His statistical interests were many and varied. He is particularly remembered for his development with James Cooley of the Cooley–Tukey FFT algorithm. In 1970, he contributed significantly to what is today known as the jackknife estimation—also termed Quenouille-Tukey jackknife. He introduced the box plot in his 1977 book,"Exploratory Data Analysis".

Tukey's range test, the Tukey lambda distribution, Tukey's test of additivity and Tukey's lemma all bear his name. He is also the creator of several little-known methods such as the trimean and median-median line, an easier alternative to linear regression.

In 1974, he developed, with Jerome H. Friedman, the concept of the projection pursuit.[3]

Statistical terms

Tukey coined many statistical terms that have become part of common usage, but the two most famous coinages attributed to him were related to computer science.

While working with John von Neumann on early computer designs, Tukey introduced the word "bit" as a contraction of "binary digit".[4] The term "bit" was first used in an article by Claude Shannon in 1948.

The term "software", which Paul Niquette claims he coined in 1953,[5] was first used in print by Tukey in a 1958 article in American Mathematical Monthly, and thus some attribute the term to him.[6]

Statistical practice

He also contributed to statistical practice and articulated the important distinction between exploratory data analysis and confirmatory data analysis, believing that much statistical methodology placed too great an emphasis on the latter.

Though he believed in the utility of separating the two types of analysis, he pointed out that sometimes, especially in natural science, this was problematic and termed such situations uncomfortable science.

Quotes

1. It is an attitude AND

2. A flexibility AND

3. Some graph paper (or transparencies, or both).

No catalogue of techniques can convey a willingness to look for what can be seen, whether or not anticipated. Yet this is at the heart of exploratory data analysis. The graph paper - and transparencies - are there, not as a technique, but rather as recognition that the picture-examining eye is the best finder we have of the wholly unanticipated.

... the usefulness and limitation of mathematical statistics; the importance of having methods of statistical analysis that are robust to violations of the assumptions underlying their use; the need to amass experience of the behaviour of specific methods of analysis in order to provide guidance on their use; the importance of allowing the possibility of data's influencing the choice of method by which they are analysed; the need for statisticians to reject the role of 'guardian of proven truth', and to resist attempts to provide once-for-all solutions and tidy over-unifications of the subject; the iterative nature of data analysis; implications of the increasing power, availability and cheapness of computing facilities; the training of statisticians.

Publications

The collected works of John W Tukey, edited by William S Cleveland
About John Tukey

See also

Notes

  1. ^ McCullagh, P. (2003). "John Wilder Tukey. 16 June 1915 - 26 July 2000". Biographical Memoirs of Fellows of the Royal Society 49: 537. doi:10.1098/rsbm.2003.0032.  edit
  2. ^ "John Tukey". IEEE Global History Network. IEEE. http://www.ieeeghn.org/wiki/index.php/John_Tukey. Retrieved 18 July 2011. 
  3. ^ J. H. Friedman and J. W. Tukey (September 1974). "A Projection Pursuit Algorithm for Exploratory Data Analysis". IEEE Transactions on Computers C-23 (9): 881–890. doi:10.1109/T-C.1974.224051. ISSN 0018-9340. http://ieeexplore.ieee.org/iel5/12/35088/01672644.pdf?isnumber=35088&prod=JNL&arnumber=1672644&arSt=+881&ared=+890&arAuthor=Friedman%2C+J.H.%3B+Tukey%2C+J.W.. 
  4. ^ The origin of the 'bit'
  5. ^ Niquette, P. (2001) Challenger: John WilderTukey
  6. ^ John Tukey, 85, Statistician; Coined the Word 'Software', New York Times, Obituaries, July 28, 2000 [1]

External links

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