mathematics

William M. Haenszel

William M. Haenszel 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 William M. Haenszel rather than just read about it. In short: William Manning Haenszel (June 19, 1910 – March 13, 1998) was an American epidemiologist who developed the first national system to track cancer cases and their possible causes (Surveillance, Epidemiology, and End Results or SEER). He was an elected fellow of the American Statistical Association, the American Public Health Association, and the American Association For the Advancement of Science.

Key takeaways

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

Reference excerpt

William Manning Haenszel (June 19, 1910 – March 13, 1998) was an American epidemiologist who developed the first national system to track cancer cases and their possible causes (Surveillance, Epidemiology, and End Results or SEER). He was an elected fellow of the American Statistical Association, the American Public Health Association, and the American Association For the Advancement of Science. He worked at the National Cancer Institute from 1952 to 1976, when he became a Professor of Epidemiology at the University of Illinois. With Nathan Mantel, he co-authored the Mantel–Haenszel statistical test for omitted variables.

Early life and education Haenszel was born on June 19, 1910, in Rochester, New York. He received his B.A. in sociology and mathematics from the University of Buffalo in 1931 and his M.A. in statistics there in 1932.

References

Mantel, N.; Haenszel, W. (1959). "Statistical Aspects of the Analysis of Data from Retrospective Studies of Disease". Journal of the National Cancer Institute. 22 (4): 719–748. doi:10.1093/jnci/22.4.719. PMID 13655060.

Illustrations

Worked examples

Example 1 — a first encounter with William M. Haenszel

Start with the simplest possible case. Write down what William M. Haenszel 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 William M. Haenszel 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 William M. Haenszel 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 William M. Haenszel

In research: William M. Haenszel 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 William M. Haenszel 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: William M. Haenszel is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1910 births, 1998 deaths, 20th-century American statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for William M. Haenszel 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 William M. Haenszel in 20 minutes

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

Frequently asked questions

What is William M. Haenszel in simple terms?

Why does William M. Haenszel 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 William M. Haenszel?

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 William M. Haenszel.