ArticleslgStudy

mathematics

William J. Youden

William J. Youden 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 J. Youden rather than just read about it. In short: William John Youden (April 12, 1900 – March 31, 1971), also known as Jack Youden, was an Australian-born American analytical chemist and statistician who formulated new statistical techniques in statistical analysis and in design of experiments. He developed the "Youden square", an incomplete block design developed from a 1937 paper, "Use of Incomplete Block Replications in Estimating Tobacco Mosaic Virus".

William J. Youden — main illustration
William J. Youden — illustration

Key takeaways

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

Reference excerpt

William John Youden (April 12, 1900 – March 31, 1971), also known as Jack Youden, was an Australian-born American analytical chemist and statistician who formulated new statistical techniques in statistical analysis and in design of experiments. He developed the "Youden square", an incomplete block design developed from a 1937 paper, "Use of Incomplete Block Replications in Estimating Tobacco Mosaic Virus". He also helped to introduce the concept of restricted randomization, which he called constrained randomization. He devised Youden's J statistic as a simple measure summarising the performance of a binary diagnostic test.

Education and career Youden studied at University of Rochester, where he received his B.S. in chemical engineering in 1921. He stayed at University of Rochester as an instructor until 1922 before going to attend Columbia University for graduate studies. Youden received an M.A. in chemistry in 1923 and a Ph.D. in chemistry in 1924, both from Columbia University. His PhD research was on the gravimetric analysis of zirconium and his advisor was Hal T. Beans. After graduation, Youden initially worked at the Boyce Thompson Institute for Plant Research (affiliated with Cornell University) in New York State as a physical chemist. He became interested in statistics after reading Ronald Fisher's book Statistical Methods for Research Workers in 1928 and started to contribute to statistics. His first publication in statistical was in 1931. He took a leave from 1937 to 1938 to work with Fisher in his Galton Laboratory based at the University College London. From 1942 to 1945, Youden worked as an operations analyst for the U.S. Army Air Corps. Youden stayed at the Boyce Thompson Institute until 1948 before moving to the National Bureau of Standards (later National Institute of Standards and Technology or NIST), where he was a senior staff member in the Applied Mathematics Division. Youden retired from NIST in 1965.

Honors and awards In 1951, Youden was elected as a Fellow of the American Statistical Association. The American Statistical Association bestows the W. J. Youden Award in Interlaboratory Testing to authors "of publications that make outstanding contributions to the design and/or analysis of interlaboratory tests or describe ingenious approaches to the planning and evaluation of data from such tests." The award is presented each year at the Joint Statistical Meetings. In 1967, Youden served as president of the Philosophical Society of Washington, a science organization. In 1969, he was awarded the Shewhart Medal by the American Society for Quality as well as the Wilks Memorial Award by the American Statistical Association.

References

External links O'Connor, John J.; Robertson, Edmund F., "William John Youden", MacTutor History of Mathematics Archive, University of St Andrews

Illustrations

William J. Youden illustration

Worked examples

Example 1 — a first encounter with William J. Youden

Start with the simplest possible case. Write down what William J. Youden 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 J. Youden 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 J. Youden 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 J. Youden

In research
William J. Youden 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 J. Youden 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 J. Youden is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1900 births, 1971 deaths, 20th-century American chemists, so understanding it makes those chapters shorter.
In everyday life
Look for William J. Youden 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 “William J. Youden” →

Affiliate

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

How to study William J. Youden in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what William J. Youden means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain William J. Youden out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is William J. Youden in simple terms?

William John Youden (April 12, 1900 – March 31, 1971), also known as Jack Youden, was an Australian-born American analytical chemist and statistician who formulated new statistical techniques in statistical analysis and in design of experiments. He developed the "Youden square", an incomplete block…

Why does William J. Youden 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 J. Youden?

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 J. Youden.

Tags

  • 1900 births
  • 1971 deaths
  • 20th-century American chemists
  • 20th-century American statisticians
  • Analytical chemists
  • Columbia University alumni
  • Cornell University people
  • Fellows of the American Statistical Association
  • National Institute of Standards and Technology people
  • People associated with University College London
  • People from Townsville
  • Statistical quality controller

Keep exploring