mathematics

Samuel Greenhouse

Samuel Greenhouse 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 Samuel Greenhouse rather than just read about it. In short: Samuel W. Greenhouse (January 13, 1918 – September 29, 2000) was an American statistician who helped to pioneer the use of statistics in epidemiology.

Key takeaways

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

Reference excerpt

Samuel W. Greenhouse (January 13, 1918 – September 29, 2000) was an American statistician who helped to pioneer the use of statistics in epidemiology. With Seymour Geisser, he developed the Greenhouse–Geisser correction, which is now widely used in the analysis of variance to correct for violations of the assumption of compound symmetry.

Academic career Greenhouse was one of several founding statisticians at the National Institutes of Health (NIH), where, with Jerome Cornfield, Jacob Lieberman, Nathan Mantel, and Marvin Schneiderman, he co-founded the first biometry group in the National Cancer Institute in 1948. In 1954, Greenhouse became head of the theoretical statistics and applied mathematics section at the National Institute of Mental Health. He became chief of the National Institute of Child Health and Human Development's epidemiology and biometry branch in 1966, and continued to work there until 1974, when he joined the faculty of George Washington University (GWU). He chaired the GWU department of statistics twice: in 1976–1979 and in 1985–1986. He retired from the GWU faculty in 1988, whereupon he was named an emeritus professor there.

Honors and awards Greenhouse was a fellow of the American Statistical Association, the Institute of Mathematical Statistics, the American Association for the Advancement of Science, and the Royal Statistical Society. He was also an elected member of the International Statistical Institute, a fellow of the American College of Epidemiology, and a fellow of the American Heart Association's Council of Epidemiology. In 1993 Greenhouse was awarded the American Statistical Association Founders Award.

References

Further reading Lachin, John M. (15 November 2003). "A tribute to Samuel W. Greenhouse". Statistics in Medicine. 22 (21): 3267–3276. doi:10.1002/sim.1626. PMID 14566909. S2CID 33221199.

Worked examples

Example 1 — a first encounter with Samuel Greenhouse

Start with the simplest possible case. Write down what Samuel Greenhouse 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 Samuel Greenhouse 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 Samuel Greenhouse 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 Samuel Greenhouse

In research: Samuel Greenhouse 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 Samuel Greenhouse 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: Samuel Greenhouse is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1918 births, 2000 deaths, American biostatisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Samuel Greenhouse 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 Samuel Greenhouse in 20 minutes

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

Frequently asked questions

What is Samuel Greenhouse in simple terms?

Samuel W. Greenhouse (January 13, 1918 – September 29, 2000) was an American statistician who helped to pioneer the use of statistics in epidemiology.

Why does Samuel Greenhouse 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 Samuel Greenhouse?

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 Samuel Greenhouse.