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Ramanathan Gnanadesikan

Ramanathan Gnanadesikan is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Ramanathan Gnanadesikan rather than just read about it. In short: Ramanathan Gnanadesikan (2 November 1932 – 6 July 2015) was an Indian statistician, known for his work in multivariate data analysis and leadership in the field. He received his Ph.D. at the University of North Carolina and headed research groups in statistics at Bell Laboratories and Bellcore.

Ramanathan Gnanadesikan — main illustration
Ramanathan Gnanadesikan — illustration

Key takeaways

  • Ramanathan Gnanadesikan belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Ramanathan Gnanadesikan to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Ramanathan Gnanadesikan from memory before moving on to harder problems.

Reference excerpt

Ramanathan Gnanadesikan (2 November 1932 – 6 July 2015) was an Indian statistician, known for his work in multivariate data analysis and leadership in the field. He received his Ph.D. at the University of North Carolina and headed research groups in statistics at Bell Laboratories and Bellcore. He was a fellow of American Association for the Advancement of Science, American Statistical Association, Institute of Mathematical Statistics and Royal Statistical Society, and elected member of the International Statistical Institute. He served as President of Institute of Mathematical Statistics and the International Association for Statistical Computing, the latter of which he helped found.

Early life He was born in Madras (now Chennai, India). His father A. Ramanathan Pillai, was a zoologist and university vice-chancellor. As a 12-year-old boy, he sympathized with the Indian Independence movement and spent two weeks at the ashram founded by Mahatma Gandhi. He credited this experience for inspiring a lifelong concern with social justice. He attended the University of Madras, from which he received both bachelor's and master's degrees in statistics. The latter of these was based on work done at the Indian Statistical Institute in Calcutta.

Career At the age of 20, he came to the United States to work on his Ph.D. at the University of North Carolina at Chapel Hill. While there he was involved with the civil rights movement and participated in lunch counter protests. When the first African-American undergraduates were admitted to the university, he helped arrange their accommodation in the International Student House. For his contributions to the university he was elected to the Order of the Golden Fleece. His Ph.D. work was with Prof. S.N.Roy in the area of factor analysis. This line of research (which can be seen in the monograph Roy, Gnanadesikan and Srivastava, 1971), was concerned with extracting information from experiments where a large number of input variables result in a large number of output variables. One important thrust of this work was how to deal with both structured variables (i.e. data where the variable varies across some range of values) and unstructured variables (variables like disease state or color where the order is essentially arbitrary). A second thrust was evaluating whether the results of such analyses were dependent on small changes in the input variables, leading to an unrealistic sensitivity to errors of measurement. After two years working at Procter & Gamble, he was hired by John Tukey to work in the nascent statistics group at Bell Telephone Laboratories and became a department head shortly afterwards. He worked closely with Martin Wilk, with whom he wrote a number of papers on graphical methods for data analysis. The most widely cited of these (Wilk and Gnanadesikan, 1968) describes the Q–Q and P–P plots, which are used to compare different statistical distributions. This work arose in part out of work in speaker recognition, as it was found that the statistical distribution of energy across frequency bands was different for different speakers. His highly-cited 1977 monograph on multivariate data analysis has been translated into Japanese and Russian and a second edition was published in 1997. When the Bell system was broken up in 1984, he moved to Bell Communications Research (later Telcordia Technologies), first as a division manager of information science, covering economics and human factors research as well as statistics, and later as an assistant vice president. He retired in 1991 and became a full professor in the Department of Statistics at Rutgers University, retiring in 1998. In 1996 Gnanadesikan was awarded the American Statistical Association's Founders Award. He was the recipient of the 2009 Jerome Sacks Award for Cross Disciplinary Research.

Personal life In 1965, he married Mrudulla, a fellow statistician who had a distinguished career in statistical education. He has two sons, Anand, a professor of oceanography at Johns Hopkins University, and Mukund, a psychiatrist in Napa, CA. He was a founding member of the Association of Indians in America, the first national association of Indians in the United States, and served as one of the organization's first co-presidents. He died on 6 July 2015.

Notes

References Gnanadesikan, R. (1997). Methods for statistical data analysis of multivariate observations. Wiley Series in Probability and Statistics, 2nd Edition. Wiley Interscience. ISBN 978-0-471-16119-6. Kettenring, Jon R. (2001). "A Conversation with Ramanathan Gnanadesikan". Statistical Science. 16 (3): 295–309. doi:10.1214/ss/1009213730. MR 1909779. Roy, S.N.; Gnanadesikan, R.; Srivastava, J.N. (1971). Analysis and design of certain quantitative multiresponse experiments. International Series in Applied Statistics and Biometry. Vol. 2. Pergamom Press. ISBN 9781483157894. Wilk, Martin; Gnanadesikan, Ramanathan (1968). "Probability plotting methods for analysis of data". Biometrika. 55 (1): 1–17. doi:10.1093/biomet/55.1.1. JSTOR 2334448. PMID 5661047.

Illustrations

Ramanathan Gnanadesikan illustration

Worked examples

Example 1 — a first encounter with Ramanathan Gnanadesikan

Start with the simplest possible case. Write down what Ramanathan Gnanadesikan claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Ramanathan Gnanadesikan before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Ramanathan Gnanadesikan ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Ramanathan Gnanadesikan

In research
Ramanathan Gnanadesikan appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Ramanathan Gnanadesikan in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Ramanathan Gnanadesikan is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1932 births, 2015 deaths, 20th-century Indian statisticians, so understanding it makes those chapters shorter.
In everyday life
Look for Ramanathan Gnanadesikan outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Ramanathan Gnanadesikan in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Ramanathan Gnanadesikan means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Ramanathan Gnanadesikan out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Ramanathan Gnanadesikan in simple terms?

Ramanathan Gnanadesikan (2 November 1932 – 6 July 2015) was an Indian statistician, known for his work in multivariate data analysis and leadership in the field. He received his Ph.D. at the University of North Carolina and headed research groups in statistics at Bell Laboratories and Bellcore.

Why does Ramanathan Gnanadesikan matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Ramanathan Gnanadesikan?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Ramanathan Gnanadesikan.

Tags

  • 1932 births
  • 2015 deaths
  • 20th-century Indian statisticians
  • Elected Members of the International Statistical Institute
  • Fellows of the American Statistical Association
  • Recipients of the American Statistical Association Founders Award
  • Scientists from Chennai
  • University of Madras alumni
  • University of North Carolina at Chapel Hill alumni

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