mathematics

George E. P. Box

George E. P. Box 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 George E. P. Box rather than just read about it. In short: George Edward Pelham Box (18 October 1919 – 28 March 2013) was a British statistician, who worked in the areas of quality control, time-series analysis, design of experiments, and Bayesian inference. He has been called "one of the great statistical minds of the 20th century".

Key takeaways

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

Reference excerpt

George Edward Pelham Box (18 October 1919 – 28 March 2013) was a British statistician, who worked in the areas of quality control, time-series analysis, design of experiments, and Bayesian inference. He has been called "one of the great statistical minds of the 20th century". His quote "All models are wrong but some are useful" has been widely discussed.

Education and early life He was born in Gravesend, Kent, England. Upon entering university he began to study chemistry, but was called up for service before finishing. During World War II, he performed experiments for the British Army exposing small animals to poison gas. To analyze the results of his experiments, he taught himself statistics from available texts. After the war, he enrolled at University College London and obtained a bachelor's degree in mathematics and statistics. He received a PhD from the University of London in 1953, under the supervision of Egon Pearson and HO Hartley.

Career and research From 1948 to 1956, Box worked as a statistician for Imperial Chemical Industries (ICI). While at ICI, he took a leave of absence for a year and served as a visiting professor at North Carolina State University at Raleigh. He later went to Princeton University where he served as Director of the Statistical Research Group. In 1960, Box moved to the University of Wisconsin–Madison to create the Department of Statistics. In 1980, he was named Vilas Research Professor of Statistics, which is the highest honor given to a member of the University of Wisconsin-Madison faculty. Box and Bill Hunter co-founded the Center for Quality and Productivity Improvement at the University of Wisconsin–Madison in 1985. Box officially retired in 1992, becoming an emeritus professor. Box published books including Statistics for Experimenters (2nd ed., 2005), Time Series Analysis: Forecasting and Control (4th ed., 2008, with Gwilym Jenkins and Gregory C. Reinsel) and Bayesian Inference in Statistical Analysis. (1973, with George C. Tiao).

Awards and honours Box served as president of the American Statistical Association in 1978 and of the Institute of Mathematical Statistics in 1979. He received the Shewhart Medal from the American Society for Quality Control in 1968, the Wilks Memorial Award from the American Statistical Association in 1972, the R. A. Fisher Lectureship in 1974, the Guy Medal in Gold from the Royal Statistical Society in 1993, the Brumbaugh Award from the American Society for Quality in 1987, 1993, 1997, 2007, and 2010. Box was elected a member of the American Academy of Arts and Sciences in 1974 and a Fellow of the Royal Society (FRS) in 1985. His name is associated with results in statistics such as Box–Jenkins models, Box–Cox transformations, Box–Behnken designs, and others. Additionally, Box famously wrote, in various books and papers, that "all models are wrong, but some are useful".

Personal life Box was married three times. In 1945, he married Jessie Ward, a sergeant in the Auxiliary Territorial Service. The two later divorced. He then married Joan Fisher, daughter of the British statistician Ronald Fisher. The two later collaborated on a biography of Ronald Fisher, published in 1978. After Fisher and Box divorced, he married Claire Louise Quist in 1985. Box died on 28 March 2013. He was 93 years old.

Selected publications Box, G.E.P, Cox, D.R. (1964) "An Analysis of Transformations Archived 21 September 2018 at the Wayback Machine". Journal of the Royal Statistical Society. 26 (2): 211–252.

References

External links

Box-Behnken designs from a handbook on engineering statistics at NIST ASQ: George E.P. Box Accomplishments in statistics Articles and Reports by George Box Statistics for Experimenters - Second Edition, 2005 by George Box, William G. Hunter and Stuart Hunter Biography of George E. P. Box from the Institute for Operations Research and the Management Sciences anomaly.io/about/

Illustrations

Worked examples

Example 1 — a first encounter with George E. P. Box

Start with the simplest possible case. Write down what George E. P. Box 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 George E. P. Box 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 George E. P. Box 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 George E. P. Box

In research: George E. P. Box 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 George E. P. Box 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: George E. P. Box is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1919 births, 2013 deaths, 20th-century American statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for George E. P. Box 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 George E. P. Box in 20 minutes

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

Frequently asked questions

What is George E. P. Box in simple terms?

Why does George E. P. Box 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 George E. P. Box?

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 George E. P. Box.