Saturday, April 6, 2019

Naked Statistics by Charles Wheelan


Statistics provides of us with a power set of tools for describing things in our world and making inferences about them. They can also rely on math and logic that seems counterintuitive and they are subject to other pitfalls. Economist Charles Wheelan provides and accessible introduction into how we can use, misuse and abuse statistics in Naked Statistics.

Data is everywhere. In my life time, the falling prices and increased interconnectivity of computers have massively increased the collection of data. It can be overwhelming. At the same time, my experience as an engineer and government employee have left me frustrated with lack of data on some issue and wonder what inferences I might draw and how much I can rely on them.  Statistics provides us tools for dealing with these issues.

For instance, statistics provides us a way to summarize lots of data with a simple number such as an average (many people are familiar with sports statistics that summarize a performance of a play or team over a game, season or even a whole career). Statistics can help us find trends and estimate how much various factors may be contributing toward those trends. Even in the case where there is little data, statistics can help us evaluate the reliability of your conclusions (statistics can’t prove something definitively, but it can quantify how likely you are to be wrong).

“Statistics cannot prove anything with certainty.”-Charles Wheelan, Naked Statistics

Though he doesn’t delve too deeply into the mathematics of statistics, he shows that the math is often the easy part. Getting good data, designing experiments, constructing reasonable hypotheses, and avoiding bias present many stumbling blocks that can turn statistics into nonsense.

Not only that, people can take advantage of the weaknesses of statistics to provide persuasive support for wrong conclusions. Not everyone throwing around statistics intends to deceive, but a few do. A few just make mistakes, too. Wheelan describes many of the common mistakes people make while using statistics. This can help people new (or not new to statistics) avoid them. Possibly more important, it can help users of statistics recognize possible problems in how the statistics they use are developed or interpreted.

“Statistics cannot be any smarter than the people who use them.”-Charles Wheelan, Naked Statistics

This is not a statistics textbook. Wheelan does not delve into the details, but he does provide intuitive explanations of the concepts and simple examples. A student of statistics might find this book helpful in getting over some of the conceptual hurdles that may get in the way of understanding the rest of the material.

If you’re interested in this book, you may also be interested in

Wheelan, Charles. Naked Statistics: Stripping the Dread from Data. New York: W. W. Norton & Company, 2013.

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