mathematics

Samarendra Nath Roy

Samarendra Nath Roy 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 Samarendra Nath Roy rather than just read about it. In short: Samarendra Nath Roy (11 December 1906 – 23 July 1964) was an Indian-born American mathematician and an applied statistician. Early life Roy was the first of three children of Kali Nath Roy and Suniti Bala Roy.

Key takeaways

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

Reference excerpt

Samarendra Nath Roy (11 December 1906 – 23 July 1964) was an Indian-born American mathematician and an applied statistician.

Early life Roy was the first of three children of Kali Nath Roy and Suniti Bala Roy. His father, was a freedom fighter and the Chief Editor of the newspaper The Tribune, then publishing from Lahore. Roy and The Tribune published seven allegedly seditious articles from April 3, 1919 through April 11, 1919, leading up to the April 13th massacre of the Indians at the hands of the British in the infamous Jallianwala Bagh massacre. For this "offence" Kali Nath Roy was sentenced to imprisonment of two years along with a fine of one thousand rupees. Roy secured first division in the Matriculation Examination in 1923 from the Khulna District School. He was the topper in the Intermediate Science (Higher Secondary) Examinations in 1925 from the Daulatpur Hindu Academy. He obtained first class and was the topper in both the BSc Mathematics (Honours) from Presidency College of the University of Calcutta in 1928 and the MSc in Mixed Mathematics - which later was renamed to Applied Mathematics - (with The Theory of Relativity as the elective) from the renowned Rajabazar Science College, University of Calcutta in 1931.

Academic career In 1931, when Roy joined the Department of Applied Mathematics of Rajabazar Science College at the University of Calcutta as a research associate, he used computing facilities at the newly established Indian Statistical Institute, which was founded by Professor P. C. Mahalanobis. Roy along with several talented young scholars including J. M. Sengupta, H. C. Sinha, Raj Chandra Bose, K. R. Nair, K. Kishen and C. R. Rao, joined to form an active group of statisticians under Mahalanobis. Roy was one of the very early students of Mahalanobis, who initiated some of the early works in Statistics. He was well known for his pioneering contribution to multivariate statistical analysis, mainly that of the Jacobians of complicated transformations for various exact distributions, rectangular coordinates and the Bartlett decomposition. His dissertation included the Post master's work at the Indian Statistical Institute where he worked under Mahalanobis. It was Bose who first went to the United States as a visiting professor at Columbia University and then joined the University of North Carolina at Chapel Hill in 1947. Roy followed suit by later joining him at the University of North Carolina at Chapel Hill in the spring of 1950, after initially travelling to the United States to take up a Visiting Professorship of Statistics at Columbia University in New York in the spring of 1949. In between this Roy returned to India and became Head of the Department of Statistics at the University of Calcutta during the academic year 1949–50. Roy joined Bose as full Professor of Statistics in the Statistics Department at the University of North Carolina at Chapel Hill. S. N. Roy had 15 doctorate students there from 1950 till 1963. To commemorate his Birth Centenary an International Conference on "Multivariate Statistical Methods in the 21st Century: The Legacy of Prof. S.N. Roy" was held at Kolkata, India during 28–29 December 2006. The Journal of Statistical Planning and Inference published a special issue for celebrating the Centennial of Birth of S. N. Roy.

Personal life Roy was married to Bani Roy and had four children, Prabir, Subir, Tapon and Sunanda. He died while on holiday in Jasper, Canada.

Selected publications Potthoff, R. F. and Roy, S. N. (1964), "A generalized multivariate analysis of variance model useful especially for growth curve problems", Biometrika, vol. 51, pp. 313–326. Roy, S. N. (1957), "Some Aspects of Multivariate Analysis", New York: Wiley. Roy, S. N. and Sarhan, A. E. (1956), "On inverting a class of patterned matrices", Biometrika, 43, 227–231.

Selected Ph.D. dissertations under Roy's guidance Olkin, Ingram (1951). "On distribution problems in multivariate analysis". Pachares, James (1953). "On the distribution of quadratic forms". Pillai, K.C. Sreedharan (1954). "On some distribution problems in multivariate analysis". Mitra, Sujit Kumar (1956). "Contributions to the statistical analysis of categorical data". Gnanadesikan, Ramanathan (1957). "Contributions to multivariate analysis including univariate and multivariate variance components analysis and factor analysis". Potthoff, Richard F. (1958). "Multi-dimensional incomplete block designs". Diadmond, Earl L. (1958). "Asymptotic power and independence of certain classes of tests on categorical data". Bargman, Rolf (1958). "A study of independence and dependence in multivariate normal analysis". Cobb, Whitfield (1959). "Studies in univariate and multivariate variance components analysis connected with sampling from a finite population". Bhapkar, Vasant P. (1959). "Contributions to the statistical analysis of experiments with one or more responses". Sathe, Yashawande S. (1962). "Studies in certain types of nonparametric inference". Das Gupta, Somesh (1963). "Some problems in classification". Mudholkar, Govind S. (1963). "Some contributions to the theory of univariate and multivariate statistical analysis". Sources:

Recognition Fellow of the Institute of Mathematical Statistics Fellow of the International Statistical Institute in 1951 President of the Statistical Section of the Indian Science Congress in 1948 Fellow of The National Institute of Sciences (FNASc), India (now known as the Indian National Science Academy) in 1946

References

External links Indian Statistical Institute (ISI) International Conference on Multivariate Statistical Methods in the 21st Century: The Legacy of Prof. S.N. Roy Samarendra Nath Roy: An Appreciation References for Samarendra Nath Roy

Worked examples

Example 1 — a first encounter with Samarendra Nath Roy

Start with the simplest possible case. Write down what Samarendra Nath Roy 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 Samarendra Nath Roy 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 Samarendra Nath Roy 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 Samarendra Nath Roy

In research: Samarendra Nath Roy 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 Samarendra Nath Roy 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: Samarendra Nath Roy is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1906 births, 1964 deaths, 20th-century American statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Samarendra Nath Roy 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 Samarendra Nath Roy in 20 minutes

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

Frequently asked questions

What is Samarendra Nath Roy in simple terms?

Samarendra Nath Roy (11 December 1906 – 23 July 1964) was an Indian-born American mathematician and an applied statistician. Early life Roy was the first of three children of Kali Nath Roy and Suniti Bala Roy.

Why does Samarendra Nath Roy 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 Samarendra Nath Roy?

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 Samarendra Nath Roy.