Tukey Range Test

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. The Tukey range test, the Tukey lambda distribution, the Tukey test of additivity, and the Teichmüller–Tukey lemma 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, 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 B.A. in 1936 and M.S. in 1937 in chemistry, from Brown University, 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 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. 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 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 summarized "A random selection of three people would have been better than a group of 300 chosen by Mr. Kinsey".

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.

During the 1970s and early 1980s, Tukey played a key role in the design and conduct of the National Assessment of Educational Progress.

He was awarded the National Medal of Science by President Nixon in 1973. 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 methods for computers at Bell Labs, where he coined the word ''bit'' in 1947.

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—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, Tukey's lemma, and the Tukey window 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.

Data analysis and foundations of data science

John Tukey contributed greatly to statistical practice and data analysis in general. In fact, some regard John Tukey as the father of data science. At the very least, he pioneered many of the key foundations of what came later to be known as data science.

Making sense of data has a long history and has been addressed by statisticians, mathematicians, scientists, and others for many many years. During the 1960s, Tukey challenged the dominance at the time of what he called "confirmatory data analysis", statistical analyses driven by rigid mathematical configurations. Tukey emphasized the importance of having a more flexible attitude towards data analysis and of exploring data carefully to see what structures and information might be contained therein. He called this "exploratory data analysis" (EDA). In many ways, EDA was a precursor to data science.

Tukey also realized the importance of computer science to EDA. Graphics are an integral part of EDA methodology and, while much of Tukey's work focused on static displays (such as box plots) that could be drawn by hand, he realized that computer graphics would be much more effective for studying multivariate data. PRIM-9, the first program for viewing multivariate data, was conceived by him during the early 1970s.

This coupling of data analysis and computer science is what is now called data science.

Tukey 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.

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

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; ''The collected works of John W Tukey'', edited by William S. Cleveland
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;About John Tukey
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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
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"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
Computational statisticians
Members of the American Philosophical Society