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Roderick J. A. Little

Roderick J. A. Little 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 Roderick J. A. Little rather than just read about it. In short: Roderick Joseph Alexander Little is an academic statistician and professor emeritus at the University of Michigan. His main research contributions lie in the statistical analysis of data with missing values and the analysis of complex sample survey data.

Roderick J. A. Little — main illustration
Roderick J. A. Little — illustration

Key takeaways

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

Reference excerpt

Roderick Joseph Alexander Little is an academic statistician and professor emeritus at the University of Michigan. His main research contributions lie in the statistical analysis of data with missing values and the analysis of complex sample survey data. He held the position of Professor in the Department of Biomathematics at the University of California, Los Angeles. He also served as a Research Fellow at the United States Census Bureau from 1982 to 1983, an Expert Consultant at the United States Environmental Protection Agency, and a Scientific Associate at the World Fertility Survey. Additionally, he was a Research Associate in the Department of Statistics at the University of Chicago.

Education Little was born near London, England, and attended secondary school at Glasgow Academy in Scotland. He received a BA in Mathematics from Gonville and Caius College, Cambridge University, and an M.Sc. in Statistics and Operational Research and Ph.D. in Statistics at Imperial College of Science and Technology, University of London. His doctoral dissertation was on the analysis of data with missing values, and was supervised by Professors Martin Beale and Sir David R. Cox.

Career After a two-year post-doc in the Department of Statistics at the University of Chicago in 1974-76, Little worked at the World Fertility Survey from 1976–80, under the leadership of Sir Maurice Kendall. In 1980-82 he joined a group formed by Donald Rubin at the U.S. Environmental Protection Agency in Washington DC, and in 1982-3 he was an ASA/Census/NSF Fellow at the U.S. Census Bureau and an Adjunct Associate Professor at George Washington University. In 1983-93 he was Associate Professor and later Professor in the Department of Biomathematics at UCLA. He was appointed Professor and Chair of the Biostatistics Department at the University of Michigan in 1993 and chaired the department for 11 years between 1993 and 2009, a period of intensive departmental growth. In 2012, The Committee of Presidents of Statistical Societies (COPSS) selected Little as the R.A. Fisher Lecturer for the 2012 Joint Statistics Meetings held in San Diego.

Activities in U.S. federal statistics Little is a strong advocate of the importance of independent government statistical agencies for democracy. He served two terms on the Committee on National Statistics of the National Academy of Sciences, and in 2010-12 was the inaugural Associate Director for Survey Research and Methodology and Chief Scientist at the United States Census Bureau, a position that has elevated scientific aspects of Census Bureau operations. He has participated in many National Academy of the Sciences panels, in particular chairing studies on multiple sclerosis and other neurologic disorders in veterans of the Persian Gulf and Post 9/11 wars, and on the treatment of missing data in clinical trials. He has been active in advising the U.S. Food and Drug Administration and pharmaceutical companies on methods for handling missing data in clinical studies.

Activities for the American Statistical Association Little served two terms on the Board of Directors of the American Statistical Association (ASA), first as Editorial Representative and then as a Vice President. Editorially, he was Coordinating and Applications Editor of the Journal of the American Statistical Association in 1992-4, and later, as Chair of the Survey Research Methods section of the ASA, helped to start a new academic journal on survey statistics, the Journal of Survey Statistics and Methodology. He served as the Statistics Co-Editor in Chief for that journal in 2016-18. In 2016, Little received a Founder’s Award from the ASA for his contributions to the statistics profession.

Research Little’s primary research interest is the analysis of data sets with missing values. Many statistical techniques are designed for complete, rectangular data sets, but in practice many data sets contain missing values, either by design or accident. In 1987, Little co-authored a book with Donald Rubin that was one of the earliest systematic treatments of the topic; the 2nd edition was published in 2002 and the 3rd edition in 2019. As detailed in that book, initial statistical approaches to missing values were relatively ad-hoc, such as discarding incomplete cases or substituting means. The main focus of the book is on likelihood-based inferential techniques, such as maximum likelihood and Bayesian inference, based on statistical models for the data and missing-data mechanism. The 1st edition focused mainly on maximum likelihood via the expectation-maximization (EM) algorithm, but later editions emphasize Bayesian methods and the related technique of multiple imputation. Little and Rubin were awarded the prestigious Karl Pearson Prize in 2017 by the International Statistical Institute (ISI), the leading international statistics society, for a research contribution that has had “profound influence on statistical theory, methodology or applications.” The citation for the award was as follows: “The work of Roderick J. Little and Donald B. Rubin, laid out in their seminal 1978 Biometrika papers and 1987 book, updated in 2002, has been no less than defining and transforming. Earlier missing data work was ad hoc at best. Little and Rubin defined the field and provided the methodological and applied communities with a useful and usable taxonomy and a set of key results. Today, their terminology and methodology is used more than ever. Their work has been transforming for the deep impact it had and has on both statistical practice and theory. It is one of the rare topics that has continued for the past thirty years to be studied and developed in academia, government and industry. For example, it plays a key role in the current work on sensitivity analysis with incomplete data.”

… excerpt ends here. Continue reading the full article.

Illustrations

Roderick J. A. Little illustration

Worked examples

Example 1 — a first encounter with Roderick J. A. Little

Start with the simplest possible case. Write down what Roderick J. A. Little 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 Roderick J. A. Little 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 Roderick J. A. Little 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 Roderick J. A. Little

In research
Roderick J. A. Little 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 Roderick J. A. Little 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
Roderick J. A. Little is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academics from London, Alumni of Imperial College London, Alumni of the University of Cambridge, so understanding it makes those chapters shorter.
In everyday life
Look for Roderick J. A. Little 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 Roderick J. A. Little in 20 minutes

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

Frequently asked questions

What is Roderick J. A. Little in simple terms?

Roderick Joseph Alexander Little is an academic statistician and professor emeritus at the University of Michigan. His main research contributions lie in the statistical analysis of data with missing values and the analysis of complex sample survey data.

Why does Roderick J. A. Little 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 Roderick J. A. Little?

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 Roderick J. A. Little.

Tags

  • Academics from London
  • Alumni of Imperial College London
  • Alumni of the University of Cambridge
  • Elected Members of the International Statistical Institute
  • English statisticians
  • Fellows of the American Academy of Arts and Sciences
  • Fellows of the American Statistical Association
  • George Washington University faculty
  • Living people
  • Mathematical statisticians
  • Members of the National Academy of Medicine
  • United States Census Bureau people

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