mathematics

William Gemmell Cochran

William Gemmell Cochran 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 Gemmell Cochran rather than just read about it. In short: William Gemmell Cochran (15 July 1909 – 29 March 1980) was a prominent statistician. He was born in Scotland but spent most of his life in the United States.

Key takeaways

William Gemmell Cochran 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 Gemmell Cochran to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of William Gemmell Cochran from memory before moving on to harder problems.

Reference excerpt

William Gemmell Cochran (15 July 1909 – 29 March 1980) was a prominent statistician. He was born in Scotland but spent most of his life in the United States. Cochran studied mathematics at the University of Glasgow and the University of Cambridge. He worked at Rothamsted Experimental Station from 1934 to 1939, when he moved to the United States. There he helped establish several departments of statistics. His longest spell in any one university was at Harvard, which he joined in 1957 and from which he retired in 1976.

Writings Cochran wrote many articles and books. His books became standard texts:

Experimental Designs (with Gertrude Mary Cox) 1950 ISBN 0-471-54567-8 Cochran, William G. (1977). Sampling Techniques (Third ed.). Wiley. ISBN 0-471-16240-X. Statistical Methods Applied to Experiments in Agriculture and Biology by George W. Snedecor (Cochran contributed from the fifth (1956) edition) ISBN 0-8138-1561-4 Planning and Analysis of Observational Studies (edited by Lincoln E. Moses and Frederick Mosteller) 1983.

References

External links Brief biography Archived 7 July 2005 at the Wayback Machine ASA biography Archived 13 February 2006 at the Wayback Machine Morris Hansen and Frederick Mosteller (1987) William Gemmell Cochran NAS Biographical Memoirs V.56 Yates, F. (1982). "Obituary: William Gemmell Cochran, 1909-1980". Journal of the Royal Statistical Society, Series A. 145 (4): 521–523. JSTOR 2982120. William Gemmell Cochran at the Mathematics Genealogy Project Morris Hansen and Frederick Mosteller, "William Gemmell Cochran", Biographical Memoirs of the National Academy of Sciences (1987) "Designing Clinical Trials" (1961; Evaluation of Drug Therapy)

Illustrations

Worked examples

Example 1 — a first encounter with William Gemmell Cochran

Start with the simplest possible case. Write down what William Gemmell Cochran 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 Gemmell Cochran 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 Gemmell Cochran 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 Gemmell Cochran

In research: William Gemmell Cochran 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 Gemmell Cochran 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 Gemmell Cochran is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1909 births, 1980 deaths, 20th-century American statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for William Gemmell Cochran 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 Gemmell Cochran in 20 minutes

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

Frequently asked questions

What is William Gemmell Cochran in simple terms?

William Gemmell Cochran (15 July 1909 – 29 March 1980) was a prominent statistician. He was born in Scotland but spent most of his life in the United States.

Why does William Gemmell Cochran 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 Gemmell Cochran?

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 Gemmell Cochran.