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John Wilder Tukey (; June 16, 1915 – July 26, 2000) was an American mathematician and
statistician A statistician is a person who works with theoretical or applied statistics. The profession exists in both the private and public sectors. It is common to combine statistical knowledge with expertise in other subjects, and statisticians may wor ...
, best known for the development of the fast Fourier Transform (FFT) algorithm and box plot. The
Tukey range test Tukey's range test, also known as Tukey's test, Tukey method, Tukey's honest significance test, or Tukey's HSD (honestly significant difference) test, Also occasionally as "honestly," see e.g. is a single-step multiple comparison procedure and ...
, the
Tukey lambda distribution Formalized by John Tukey, the Tukey lambda distribution is a continuous, symmetric probability distribution defined in terms of its quantile function. It is typically used to identify an appropriate distribution (see the comments below) and not u ...
, the Tukey test of additivity, and the
Teichmüller–Tukey lemma In mathematics, the Teichmüller–Tukey lemma (sometimes named just Tukey's lemma), named after John Tukey and Oswald Teichmüller, is a Lemma (mathematics), lemma that states that every nonempty collection of finite character has a maximal element ...
all bear his name. He is also credited with coining the term ' bit' and the first published use of the word ' software'.


Biography

Tukey was born in
New Bedford, Massachusetts New Bedford (Massachusett language, Massachusett: ) is a city in Bristol County, Massachusetts, Bristol County, Massachusetts. It is located on the Acushnet River in what is known as the South Coast (Massachusetts), South Coast region. Up throug ...
in 1915, to a Latin teacher father and a private tutor. He was mainly taught by his mother and attended regular classes only for certain subjects like French. Tukey obtained a BA in 1936 and
MSc MSC may refer to: Computers * Message Sequence Chart * Microelectronics Support Centre of UK Rutherford Appleton Laboratory * MIDI Show Control * MSC Malaysia (formerly known as Multimedia Super Corridor) * USB mass storage device class (USB MSC ...
in 1937 in chemistry, from
Brown University Brown University is a private research university in Providence, Rhode Island. Brown is the seventh-oldest institution of higher education in the United States, founded in 1764 as the College in the English Colony of Rhode Island and Providenc ...
, before moving to Princeton University, where in 1939 he received a
PhD PHD or PhD may refer to: * Doctor of Philosophy (PhD), an academic qualification Entertainment * '' PhD: Phantasy Degree'', a Korean comic series * ''Piled Higher and Deeper'', a web comic * Ph.D. (band), a 1980s British group ** Ph.D. (Ph.D. albu ...
in
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
after completing a doctoral dissertation titled "On
denumerability In mathematics, a Set (mathematics), set is countable if either it is finite set, finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently, a set is ''countable'' if there exists an injective function fro ...
in topology". During World War II, Tukey worked at the Fire Control Research Office and collaborated with
Samuel Wilks Sir Samuel Wilks, 1st Baronet, (2 June 1824 – 8 November 1911) was a British physician and biographer. Early life Samuel Wilks was born on 2 June 1824 in Camberwell, London, the second son of Joseph Barber Wilks, a cashier at the East India H ...
and William Cochran. He is claimed to have helped design the U-2 spy plane. After the war, he returned to Princeton, dividing his time between the university and
AT&T Bell Laboratories Nokia Bell Labs, originally named Bell Telephone Laboratories (1925–1984), then AT&T Bell Laboratories (1984–1996) and Bell Labs Innovations (1996–2007), is an American industrial research and scientific development company owned by mult ...
. In 1962, Tukey was elected to the American Philosophical Society. He became a full professor at 35 and founding chairman of the Princeton statistics department in 1965. Among many contributions to civil society, Tukey served on a committee of the American Statistical Association that produced a report critiquing the statistical methodology of the Kinsey Report, ''Statistical Problems of the Kinsey Report on Sexual Behavior in the Human Male'', which summarised "While much remains to be done, our overall impression of their work to date is favorable". From 1960 to 1980, Tukey helped design the NBC television network polls used to predict and analyze elections. He was also a consultant to the Educational Testing Service, the Xerox Corporation, and Merck & Company. He was awarded the National Medal of Science by President Nixon in 1973. He was awarded the
IEEE Medal of Honor The IEEE Medal of Honor is the highest recognition of the Institute of Electrical and Electronics Engineers (IEEE). It has been awarded since 1917, when its first recipient was Major Edwin H. Armstrong. It is given for an exceptional contribution ...
in 1982 "For his contributions to the spectral analysis of random processes and the
fast Fourier transform A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis converts a signal from its original domain (often time or space) to a representation in th ...
(FFT) algorithm". Tukey retired in 1985. He died in
New Brunswick, New Jersey New Brunswick is a city (New Jersey), city in and the county seat, seat of government of Middlesex County, New Jersey, Middlesex County, in the U.S. state of New Jersey.statistical Statistics (from German: ''Statistik'', "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industria ...
methods for computers at Bell Labs where he invented the term "bit" in 1947. His statistical interests were many and varied. He is particularly remembered for his development with
James Cooley James William Cooley (1926 – June 29, 2016) was an American mathematician. Cooley received a B.A. degree in 1949 from Manhattan College, Bronx, NY, an M.A. degree in 1951 from Columbia University, New York, NY, and a Ph.D. degree in 1961 in app ...
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 Formalized by John Tukey, the Tukey lambda distribution is a continuous, symmetric probability distribution defined in terms of its quantile function. It is typically used to identify an appropriate distribution (see the comments below) and not u ...
,
Tukey's test of additivity In statistics, Tukey's test of additivity, named for John Tukey, is an approach used in two-way ANOVA (regression analysis involving two qualitative factors) to assess whether the factor variables ( categorical variables) are additively related to ...
, Tukey's lemma, and the
Tukey window In discrete-time signal processing, windowing is a preliminary signal shaping technique, usually applied to improve the appearance and usefulness of a subsequent Discrete Fourier Transform. Several ''window functions'' can be defined, based on a ...
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 statistics, linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables (also known as dependent and independent variables). The case of one explanatory variable is call ...
. In 1974, he developed, with
Jerome H. Friedman Jerome Harold Friedman (born December 29, 1939) is an American statistician, consultant and Professor of Statistics at Stanford University, known for his contributions in the field of statistics and data mining.
, the concept of the
projection pursuit Projection pursuit (PP) is a type of statistical technique which involves finding the most "interesting" possible projections in multidimensional data. Often, projections which deviate more from a normal distribution are considered to be more inter ...
.


Statistical practice

He also contributed to statistical practice and articulated the important distinction between exploratory data analysis and
confirmatory data analysis A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters. ...
, 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 Natural science is one of the branches of science concerned with the description, understanding and prediction of natural phenomena, based on empirical evidence from observation and experimentation. Mechanisms such as peer review and repeatab ...
, this was problematic and termed such situations
uncomfortable science Uncomfortable science, as identified by statistician John Tukey, comprises situations in which there is a need to draw an inference from a limited sample of data, where further samples influenced by the same cause system will not be available. More ...
. A. D. Gordon offered the following summary of Tukey's principles for statistical practice: Tukey's lectures were described to be unusual. McCullagh described his lecture given in London in 1977:


Coining the term ''bit''

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


See also

* List of pioneers in computer science


Publications

* * * * * * * * * * * * ; ''The collected works of John W Tukey'', edited by William S. Cleveland * * * * * * * * ;About John Tukey *
Interview of John Tukey about his experience at Princeton


References


External links


Royal Society obit. by Peter McCullagh

John W. Tukey: His Life and Professional Contributions
published in ''The Annals of Statistics''
John Wilder Tukey (1915–2000)
in '' Notices of the American Mathematical Society''
Memories of John Tukey


by Mary Bittrich *
"Remembering John W. Tukey"
special issue of ''
Statistical Science ''Statistical Science'' is a review journal published by the Institute of Mathematical Statistics. The founding editor was Morris H. DeGroot, who explained the mission of the journal in his 1986 editorial: "A central purpose of ''Statistical Sci ...
'' * {{DEFAULTSORT:Tukey, John Wilder 1915 births 2000 deaths People from Massachusetts National Medal of Science laureates Presidents of the Institute of Mathematical Statistics Fellows of the American Statistical Association IEEE Medal of Honor recipients American statisticians Survey methodologists Exploratory data analysis Princeton University faculty Princeton University alumni Brown University alumni Burials at Princeton Cemetery Foreign Members of the Royal Society Members of the United States National Academy of Sciences 20th-century American mathematicians