mathematics

Naihua Duan

Naihua Duan 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 Naihua Duan rather than just read about it. In short: Naihua Duan (Chinese: 段乃華; born 31 October 1949) is a Taiwanese biostatistician specializing in mental health services and policy research at Columbia University. Duan is a professor of biostatistics (in psychiatry) with tenure in the Departments of Psychiatry and Biostatistics at Columbia University Medical Center, and a senior research scientist at NYSPI.

Key takeaways

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

Reference excerpt

Naihua Duan (Chinese: 段乃華; born 31 October 1949) is a Taiwanese biostatistician specializing in mental health services and policy research at Columbia University. Duan is a professor of biostatistics (in psychiatry) with tenure in the Departments of Psychiatry and Biostatistics at Columbia University Medical Center, and a senior research scientist at NYSPI.

Education and career Duan received a B.S. in mathematics from National Taiwan University, an M.A. in mathematical statistics from Columbia University, and a Ph.D. in statistics from Stanford University. He is an elected fellow of the American Statistical Association and the Institute of Mathematical Statistics. He has also served as a member of the editorial board for Statistica Sinica and Health Services & Outcomes Research Methodology, and associate editor for the Journal of the American Statistical Association. In addition, he served on a number of national and international panels, such as the Institute of Medicine's Committee on Organ Procurement and Transplantation Policy and Committee on Assessing the Medical Risks of Human Oocyte Donation for Stem Cell Research; the National Research Council's Committee on Carbon Monoxide Episodes in Meteorological and Topological Problems Areas; and the National Institute of Mental Health’s Behavioral Sciences Workgroup.

References

External links Duan, N. (no date) A Quest for Evidence Beyond Evidence-Based Medicine: Unleashing Clinical Experience through Evidence Farming. (PDF) Manuscript, University of California, Davis. Department of Psychiatry, Columbia University College of Physicians and Surgeons

Worked examples

Example 1 — a first encounter with Naihua Duan

Start with the simplest possible case. Write down what Naihua Duan 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 Naihua Duan 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 Naihua Duan 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 Naihua Duan

In research: Naihua Duan 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 Naihua Duan 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: Naihua Duan is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1949 births, 20th-century Taiwanese mathematicians, 20th-century statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Naihua Duan 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 Naihua Duan in 20 minutes

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

Frequently asked questions

What is Naihua Duan in simple terms?

Why does Naihua Duan 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 Naihua Duan?

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 Naihua Duan.