mathematics

Grace Y. Yi

Grace Y. Yi 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 Grace Y. Yi rather than just read about it. In short: Grace Yun Yi is a professor of the University of Western Ontario where she currently holds a Tier I Canada Research Chair in Data Science. She was a professor at the University of Waterloo, Canada, where she holds a University Research Chair in Statistical and Actuarial Science.

Key takeaways

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

Reference excerpt

Grace Yun Yi is a professor of the University of Western Ontario where she currently holds a Tier I Canada Research Chair in Data Science. She was a professor at the University of Waterloo, Canada, where she holds a University Research Chair in Statistical and Actuarial Science. Her research concerns event history analysis with missing data and its applications in medicine, engineering, and social science.

Education and career Yi earned bachelor's and master's degrees from Sichuan University, China, in 1986 and 1989. She moved to Canada and continued her studies with another master's degree from York University in 1996, and a Ph.D. from the University of Toronto in 2000 under the supervision of Donald A. S. Fraser. She came to Waterloo as a postdoctoral researcher, and then continued there as an assistant professor in 2001.

Recognition Yi won the CRM–SSC Prize of the Statistical Society of Canada in 2010. Her work with Xianming Tan and Runze Li won the Canadian Journal of Statistics Award for 2016. In 2015 she was elected as a Fellow of the American Statistical Association "for research excellence in developing statistical theory and methods, particularly in missing and mis-measured data; for important contributions to biostatistics; and for excellence in statistical education and mentoring students." She is also a Fellow of the Institute of Mathematical Statistics. She was elected chair of the ASA Lifetime Data Science Section in 2021.

Selected publications Cook, R. J., Zeng, L. and Yi, G. Y. (2004), "Marginal Analysis of Incomplete Longitudinal Binary Data: A Cautionary Note on LOCF Imputation." Biometrics, 60: 820–828. doi:10.1111/j.0006-341X.2004.00234.x Lindsay, B. G., Yi, G. Y., & Sun, J. (2011). "Issues and strategies in the selection of composite likelihoods." Statistica Sinica, 71–105. JSTOR 24309263 Yi, G. Y., & Cook, R. J. (2002). "Marginal methods for incomplete longitudinal data arising in clusters." Journal of the American Statistical Association, 97(460), 1071–1080. doi:10.1198/016214502388618889 Lang Wu, Wei Liu, Grace Y. Yi, and Yangxin Huang, "Analysis of Longitudinal and Survival Data: Joint Modeling, Inference Methods, and Issues" Journal of Probability and Statistics, vol. 2012, Article ID 640153, 17 pages, 2012. doi:10.1155/2012/640153 Cook, R. J., Kalbfleisch, J. D., & Yi, G. Y. (2002). "A generalized mover–stayer model for panel data." Biostatistics, 3(3), 407–420. doi:10.1155/2012/640153

References

Worked examples

Example 1 — a first encounter with Grace Y. Yi

Start with the simplest possible case. Write down what Grace Y. Yi 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 Grace Y. Yi 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 Grace Y. Yi 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 Grace Y. Yi

In research: Grace Y. Yi 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 Grace Y. Yi 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: Grace Y. Yi is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic staff of the University of Waterloo, Academic staff of the University of Western Ontario, Canadian statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Grace Y. Yi 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 Grace Y. Yi in 20 minutes

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

Frequently asked questions

What is Grace Y. Yi in simple terms?

Why does Grace Y. Yi 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 Grace Y. Yi?

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 Grace Y. Yi.