mathematics

Raymond J. Carroll

Raymond J. Carroll 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 Raymond J. Carroll rather than just read about it. In short: Raymond James Carroll is an American statistician, and Distinguished Professor of statistics, nutrition and toxicology at Texas A&M University. He is a recipient of 1988 COPSS Presidents' Award and 2002 R.

Key takeaways

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

Reference excerpt

Raymond James Carroll is an American statistician, and Distinguished Professor of statistics, nutrition and toxicology at Texas A&M University. He is a recipient of 1988 COPSS Presidents' Award and 2002 R. A. Fisher Lectureship. He has made fundamental contributions to measurement error model, nonparametric and semiparametric modeling.

Biography Carroll was born in Japan of military parents in 1949 and grew up in Washington, D.C., Germany and Wichita Falls, Texas. He graduated with a B.A. from University of Texas at Austin in 1971 and a Ph.D. in statistics from Purdue University in 1974 under the supervision of Shanti S. Gupta. He was on the faculty at the University of North Carolina at Chapel Hill from 1974 to 1987. He also had visiting positions at the University of Heidelberg, the University of Wisconsin, and the National Heart, Lung, and Blood Institute. Carroll has been a full professor of statistics, nutrition and toxicology at Texas A&M University since 1987, was head of the Department of Statistics from 1987 to 1990, and was named a Distinguished Professor in 1997. He has visiting appointments at the Australian National University, the Humboldt University in Berlin and the National Cancer Institute. He was the founding director of the Texas A&M Center for Statistical Bioinformatics, and has been the director of Texas A&M Institute for Applied Mathematics and Computational Science since 2010. He holds an honorary doctorate from the Institut de Statistique, Université Catholique de Louvain in Belgium. Carroll's many areas of research include measurement error model, nonparametric and semiparametric regression, inverse problem, functional data analysis, case-control studies, among others. His work has a broad variety of application fields, including radiation and nutritional epidemiology, molecular biology, genomics and many others. He has authored or coauthored four books, over 300 refereed papers and has given over 300 invited talks. He has supervised and mentored more than 30 Ph.D. students and can claim more than 90 descendants in his mathematical genealogy. He received the COPSS Presidents' Award in 1988 and gave the Fisher Lecture at the 2002 Joint Statistical Meetings. He was the first statistician given a Method to Extend Research in Time (MERIT) Award from the National Cancer Institute. He served as editor of Biometrics and Journal of the American Statistical Association (Theory and Methods), and chair of ASA's Section on Nonparametric Statistics. A conference on "Statistical Methods for Complex Data" was held on the Texas A&M University campus in honor of Carroll in 2009. In the same year, the Raymond J. Carroll Young Investigator Award was established to honor Carroll for his fundamental contributions in many areas of statistical methodology and practice. The award is given bi-annually on odd numbered years to a statistician who has made important contributions to the area of statistics, with the recipients being Samuel Kou and Marc A. Suchard, both are also COPSS Presidents' Award recipients. Ray Carroll was in the selection committee of COPSS Presidents' Award during that period.

Personal life Carroll is married to Texas A&M behavioral scientist Marcia G. Ory.

Honors and awards 2013 Fellow, American Association for the Advancement of Science 2012 Honorary Doctorate, Institut de Statistique, Université Catholique de Louvain 2005 MERIT Award, National Cancer Institute 2003 Mitchell Prize, International Society for Bayesian Analysis 2003 JASA Applications Editor Invited Paper 2003 Jerome Sacks Award for Outstanding Cross-Disciplinary Research, National Institute of Statistical Sciences 2002 R. A. Fisher Lectureship, Committee of Presidents of Statistical Societies 1997 Snedecor Award, COPSS 1994 Distinguished Alumnus, College of Science, Purdue University 1994 Don Owen Award, ASA's San Antonio Chapter 1988 COPSS Presidents' Award 1984 Fellow, Institute of Mathematical Statistics 1982 Fellow, American Statistical Association

Bibliography Carroll, Raymond; Ruppert, David (1988). Transformation and Weighting in Regression. London: Chapman and Hall. ISBN 978-0412014215. Carroll, Raymond; Ruppert, David; Stefanski, Leonard (1995). Measurement Error in Nonlinear Models. London: Chapman and Hall. Ruppert, David; Wand, Matthew; Carroll, Raymond (July 2003). Semiparametric Regression. Cambridge University Press. ISBN 9780521785167. Carroll, Raymond; Ruppert, David; Stefanski, Leonard; Crainiceanu, Ciprian (2006). Measurement Error in Nonlinear Models: A Modern Perspective (2 ed.). CRC Press. ISBN 9781584886334. Liang, Faming; Liu, Chuanhai; Carroll, Raymond (August 2010). Advanced Markov Chain Monte Carlo: Learning from Past Samples. Wiley. ISBN 9780470748268.

References

External links Raymond J. Carroll's homepage Raymond James Carroll at the Mathematics Genealogy Project Dr. Raymond Carroll's bio "Texas A&M Statistician Probes Missing Link Between Diet and Cancer" on YouTube—An Interview with Raymond J. Carroll on YouTube Raymond James Carroll's Dissertation from ProQuest Dissertations and Theses database A partial list of the dissertations of RJC's students available at ProQuest Dissertations and Theses database

Worked examples

Example 1 — a first encounter with Raymond J. Carroll

Start with the simplest possible case. Write down what Raymond J. Carroll 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 Raymond J. Carroll 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 Raymond J. Carroll 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 Raymond J. Carroll

In research: Raymond J. Carroll 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 Raymond J. Carroll 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: Raymond J. Carroll is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1949 births, 20th-century American statisticians, 21st-century American statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Raymond J. Carroll 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 Raymond J. Carroll in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Raymond J. Carroll 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 Raymond J. Carroll out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Raymond J. Carroll in simple terms?

Why does Raymond J. Carroll 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 Raymond J. Carroll?

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 Raymond J. Carroll.