mathematics

J. W. Hopkins

J. W. Hopkins 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 J. W. Hopkins rather than just read about it. In short: John William Hopkins (1908–1989, published as J. W.

Key takeaways

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

Reference excerpt

John William Hopkins (1908–1989, published as J. W. Hopkins) was a Canadian bioscientist and statistician who worked for many years for the National Research Council Canada.

Education and career Hopkins initially studied the biochemistry of cereals, especially focusing on rust-resistant wheat. He obtained a master's degree in 1931 from the University of Alberta, with the thesis Gluten quality and the effect of dilution of wheat flours with starch. His interest in statistics was attracted by a 1925 book by Ronald Fisher, Statistical Methods for Research Workers. He worked for two years in England as a statistician at Rothamsted Research under Fisher, while also holding a position with the National Research Council Canada as a research assistant and junior research biologist for grain research. In 1933, Fisher moved from Rothamsted to University College London to head a new Department of Eugenics, and in 1934 Hopkins completed a Ph.D. there. Subsequently, in Canada at the National Research Council, he established a laboratory for biometrics. During World War II, he worked on operations research for the Royal Canadian Air Force. When the International Biometric Society was founded in 1947, he became its first treasurer. He retired in 1973.

Recognition Hopkins was made a Member of the Order of the British Empire (MBE) for his wartime service. He was elected as a Fellow of the American Statistical Association, in the 1948 class of fellows. He was also a Fellow of the Royal Society of Canada (FRSC), a Fellow of the Royal Statistical Society (FRSS), and an Elected Member of the International Statistical Institute. In 1981, the Statistical Society of Canada named him as an honorary member. He was one of the inaugural recipients of the Centenary Medal of the Royal Society of Canada, in 1982.

References

Worked examples

Example 1 — a first encounter with J. W. Hopkins

Start with the simplest possible case. Write down what J. W. Hopkins 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 J. W. Hopkins 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 J. W. Hopkins 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 J. W. Hopkins

In research: J. W. Hopkins 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 J. W. Hopkins 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: J. W. Hopkins is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1908 births, 1989 deaths, 20th-century Canadian statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for J. W. Hopkins 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “J. W. Hopkins” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study J. W. Hopkins in 20 minutes

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

Frequently asked questions

What is J. W. Hopkins in simple terms?

John William Hopkins (1908–1989, published as J. W.

Why does J. W. Hopkins 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 J. W. Hopkins?

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 J. W. Hopkins.