mathematics

Robin Plackett

Robin Plackett 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 Robin Plackett rather than just read about it. In short: Robert "Robin" Lewis Plackett (3 September 1920 – 23 June 2009) was an English statistician best known for his contributions to the history of statistics and to experimental design, most notably the Plackett–Burman designs. Early life and education Plackett was born in Liverpool and attended Liverpool Collegiate School from 1932 to 1939.

Key takeaways

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

Reference excerpt

Robert "Robin" Lewis Plackett (3 September 1920 – 23 June 2009) was an English statistician best known for his contributions to the history of statistics and to experimental design, most notably the Plackett–Burman designs.

Early life and education Plackett was born in Liverpool and attended Liverpool Collegiate School from 1932 to 1939. He then attended Clare College, Cambridge, where he graduated in 1942.

Early career During World War II, Plackett was requested to work for the Ministry of Supply, in SR17 which was a statistical branch. He began to develop a methodology for applying statistical knowledge, and would pass it down to new recruits.

First scientific paper In 1946, he would publish his first paper which was written jointly with Peter Burman in a journal called Biometrika. The paper, titled "The design of optimum multifactorial experiments", introduced Plackett–Burman experimental designs.

Academic career In 1947, he became a lecturer at Liverpool University. He would also publish research on the history of statistics. Then, in 1962, he took a short post for the Professor of Statistics at King's College, Durham before the college merged with Newcastle University in 1963. He was the first professor of statistics at Newcastle University and held the post until his retirement in 1983. In 1987 the Royal Statistical Society awarded him the Guy Medal in Gold, having awarded him both the bronze and silver medals earlier in his career. He authored several books on statistics, including Principles of Regression Analysis (1960), The Analysis of Categorical Data (1974) and An Introduction to the Interpretation of Quantal Responses in Biology (1979, with P. S. Hewlett).

Personal life Plackett had a keen interest in climbing. He was married to his wife, Carol, for 65 years. He also had three children: Adam, Jane and Martin.

References

Further reading Diggle, Peter; Henderson, Robin; Matthews, John (2010). "Robert Lewis Plackett, 1920–2009". Journal of the Royal Statistical Society, Series A. 173 (1): 265–267. doi:10.1111/j.1467-985X.2009.00623.x. S2CID 247665053.

Worked examples

Example 1 — a first encounter with Robin Plackett

Start with the simplest possible case. Write down what Robin Plackett 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 Robin Plackett 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 Robin Plackett 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 Robin Plackett

In research: Robin Plackett 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 Robin Plackett 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: Robin Plackett is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1920 births, 2009 deaths, Academics of Durham University, so understanding it makes those chapters shorter.
In everyday life: Look for Robin Plackett 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 Robin Plackett in 20 minutes

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

Frequently asked questions

What is Robin Plackett in simple terms?

Why does Robin Plackett 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 Robin Plackett?

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 Robin Plackett.