mathematics

Marie Davidian

Marie Davidian 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 Marie Davidian rather than just read about it. In short: Marie Davidian is an American biostatistician known for her work in longitudinal data analysis and precision medicine. She is the J.

Key takeaways

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

Reference excerpt

Marie Davidian is an American biostatistician known for her work in longitudinal data analysis and precision medicine. She is the J. Stuart Hunter Distinguished Professor of Statistics at North Carolina State University. She was president of the American Statistical Association for 2013.

Education and career Davidian was born in Washington, D.C. She did her undergraduate studies at the University of Virginia, initially in mechanical engineering but changing her major to applied mathematics after becoming fascinated by statistics in a class taught by David P. Harrington. She completed her PhD in 1986 from the University of North Carolina at Chapel Hill, under the supervision of Raymond J. Carroll, with a dissertation on Variance Function Estimation in Heteroscedastic Regression Models. She joined the North Carolina State faculty in 1987, and also holds an adjunct professorship at Duke University.

Books Davidian is the author of Nonlinear Models for Repeated Measurement Data (with D. M. Giltinan, CRC Press, 1995) and editor of Longitudinal Data Analysis (with Fitzmaurice, Verbeke, and Molenberghs, CRC Press 2008).

Awards and honors Davidian is a fellow of the American Statistical Association, the Institute of Mathematical Statistics, and the American Association for the Advancement of Science, and an elected member of the International Statistical Institute. She is the 2007 winner of the Janet L. Norwood Award for Outstanding Achievement by a Woman in the Statistical Sciences, the 2009 winner of the George W. Snedecor Award "for fundamental contributions to the theory and methodology of longitudinal data, especially nonlinear mixed effects models; for significant contributions to the analysis of clinical trials and observational studies, and for leadership as president of ENAR, as editor, and as a member of the International Biometric Society council", and the 2011 winner of the Florence Nightingale David Award "for important contributions to the development of methods for analyzing data from longitudinal studies and clinical trials, and for outstanding leadership and dedication to the statistical profession". She was named Hunter Distinguished Professor in 2017, after previously holding the William Neal Reynolds Professorship since 2005. In 2018 Davidian was recipient of the American Statistical Association's Founders Award.

References

External links Home page Marie Davidian publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Marie Davidian

Start with the simplest possible case. Write down what Marie Davidian 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 Marie Davidian 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 Marie Davidian 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 Marie Davidian

In research: Marie Davidian 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 Marie Davidian 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: Marie Davidian is common in secondary-school and first-year university syllabi. It links to neighbouring topics 21st-century American statisticians, American biostatisticians, American women statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Marie Davidian 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 Marie Davidian in 20 minutes

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

Frequently asked questions

What is Marie Davidian in simple terms?

Marie Davidian is an American biostatistician known for her work in longitudinal data analysis and precision medicine. She is the J.

Why does Marie Davidian 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 Marie Davidian?

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 Marie Davidian.