mathematics

Katherine Halvorsen

Katherine Halvorsen 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 Katherine Halvorsen rather than just read about it. In short: Katherine Taylor Halvorsen is an American statistician and statistics educator whose research topics have included statistical significance for contingency tables, and the conditional logistic regression method for analysis of multiple risk factors in case–control studies. She was co-author of four editions of Mathematics Education in the United States, a quadrennial review publication of the National Council of Tea…

Key takeaways

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

Reference excerpt

Katherine Taylor Halvorsen is an American statistician and statistics educator whose research topics have included statistical significance for contingency tables, and the conditional logistic regression method for analysis of multiple risk factors in case–control studies. She was co-author of four editions of Mathematics Education in the United States, a quadrennial review publication of the National Council of Teachers of Mathematics, and serves on the Mathematical Sciences Academic Advisory Committee of the College Board.

Education and career Halvorsen is a graduate of the University of Michigan. After earning master's degrees from Boston University and in 1978, the University of Washington, she completed her Ph.D. in biostatistics in 1984 at the Harvard School of Public Health, with the dissertation Estimating Population Parameters Using Information from Several Independent Sources supervised by Frederick Mosteller. She is a professor emerita of mathematics and statistics at Smith College, where she was founding director of the Five College Statistics Program in 2011.

Recognition She was named a Fellow of the American Statistical Association in 2008.

References

Worked examples

Example 1 — a first encounter with Katherine Halvorsen

Start with the simplest possible case. Write down what Katherine Halvorsen 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 Katherine Halvorsen 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 Katherine Halvorsen 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 Katherine Halvorsen

In research: Katherine Halvorsen 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 Katherine Halvorsen 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: Katherine Halvorsen is common in secondary-school and first-year university syllabi. It links to neighbouring topics American statisticians, American women statisticians, Boston University alumni, so understanding it makes those chapters shorter.
In everyday life: Look for Katherine Halvorsen 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 Katherine Halvorsen in 20 minutes

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

Frequently asked questions

What is Katherine Halvorsen in simple terms?

Why does Katherine Halvorsen 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 Katherine Halvorsen?

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 Katherine Halvorsen.