John Wilder Tukey (; June 16, 1915 – July 26, 2000) was an American mathematician and statistician, best known for the development of the fast Fourier Transform (FFT) algorithm and

box plot In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread and skewness groups of numerical data through their quartiles. In addition to the box on a box plot, there can be lines (which are cal ...

. The Tukey 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 ...

, 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 that states that every nonempty collection of finite character has a maximal element with respect to ...

all bear his name. He is also credited with coining the term '

bit The bit is the most basic unit of information in computing and digital communications. The name is a portmanteau of binary digit. The bit represents a logical state with one of two possible values. These values are most commonly represented ...

' and the first published use of the word ' software'.

Biography

Tukey was born in

New Bedford, Massachusetts New Bedford ( Massachusett: ) is a city in Bristol County, Massachusetts. It is located on the Acushnet River in what is known as the South Coast region. Up through the 17th century, the area was the territory of the Wampanoag Native American ...

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 MS ...

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 Provide ...

, before moving to Princeton University, where in 1939 he received a PhD in mathematics after completing a doctoral dissertation titled "On denumerability 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 The American Philosophical Society (APS), founded in 1743 in Philadelphia, is a scholarly organization that promotes knowledge in the sciences and humanities through research, professional meetings, publications, library resources, and communit ...

. He became a full professor at 35 and founding chairman of the Princeton statistics department in 1965. Among many contributions to

civil society Civil society can be understood as the "third sector" of society, distinct from government and business, and including the family and the private sphere.American Statistical Association The American Statistical Association (ASA) is the main professional organization for statisticians and related professionals in the United States. It was founded in Boston, Massachusetts on November 27, 1839, and is the second oldest continuousl ...

that produced a report critiquing the statistical methodology of the

Kinsey Report The Kinsey Reports are two scholarly books on human sexual behavior, ''Sexual Behavior in the Human Male'' (1948) and ''Sexual Behavior in the Human Female'' (1953), written by Alfred Kinsey, Wardell Pomeroy, Clyde Martin, and (for ''Sexual Behav ...

, ''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 The National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social scienc ...

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 contributio ...

in 1982 "For his contributions to the spectral analysis of random processes and the fast Fourier transform (FFT)

algorithm In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for performing ...

". Tukey retired in 1985. He died in

New Brunswick, New Jersey New Brunswick is a city in and the seat of government of Middlesex County, in the U.S. state of New Jersey.statistical methods for computers at

Bell Labs 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 ...

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 The Cooley–Tukey algorithm, named after J. W. Cooley and John Tukey, is the most common fast Fourier transform (FFT) algorithm. It re-expresses the discrete Fourier transform (DFT) of an arbitrary composite size N = N_1N_2 in terms of ''N''1 ...

. In 1970, he contributed significantly to what is today known as the jackknife estimation—also termed Quenouille–Tukey jackknife. He introduced the

in his 1977 book, "Exploratory Data Analysis". Tukey's range test, the

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 t ...

, 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 In statistics the trimean (TM), or Tukey's trimean, is a measure of a probability distribution's location defined as a weighted average of the distribution's median and its two quartiles: : TM= \frac This is equivalent to the average of the median ...

and median-median line, an easier alternative to linear regression. 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.

Statistical practice

He also contributed to statistical practice and articulated the important distinction between

exploratory data analysis In statistics, exploratory data analysis (EDA) is an approach of analyzing data sets to summarize their main characteristics, often using statistical graphics and other data visualization methods. A statistical model can be used or not, but prima ...

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. 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 "

" as a portmanteau of "binary digit". The term "bit" was first used in an article by

Claude Shannon Claude Elwood Shannon (April 30, 1916 – February 24, 2001) was an American mathematician, electrical engineer, and cryptographer known as a "father of information theory". As a 21-year-old master's degree student at the Massachusetts Insti ...

in 1948.

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 ''Notices of the American Mathematical Society'' is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue. The first volume appeared in 1953. Each issue of the magazine since ...

''
Memories of John Tukey

by Mary Bittrich *
"Remembering John W. Tukey"
special issue of '' Statistical Science'' * {{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