Showing posts with label numbers. Show all posts
Showing posts with label numbers. Show all posts

More Damned Lies and Statistics: How Numbers Confuse Public Issues Review

More Damned Lies and Statistics: How Numbers Confuse Public Issues
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More Damned Lies and Statistics: How Numbers Confuse Public Issues ReviewI didn't read the first Damned Lies, but the author says that he is making the same points but organizing the information differently for this follow-up. This is one of those books that has the potential to radically alter how we look at numbers. Best shows the reader how a data set can be manipulated to give a desired result.
Best is careful not to single out one side of the political spectrum when making his points. Says the author: "I don't believe that any particular group, faction, or ideology holds a monopoly on poor statistical reasoning." Rather than wallowing in this often-debated territory, the author turns to spheres of academia and the sciences, where radical-sounding results lead to more and more publications and grant dollars. This is a world not seen by most pundits and commentators.
When the issue of school shootings was sensationalized during the late 1990s and early 2000s, accounts in the popular media left out statistics that showed school crime had actually fallen over the past decade. The author calls this omission "missing numbers." Given what looked like a spike in shootings from around 1997 to 2001, few would believe, without seeing those numbers, that there was a clear, growing problem in our schools.
In his chapter, "Confusing Numbers," Best shows how figures can be reported, sometimes in a disingenuous manner, to make them sound better than they are. A good example of this is cited when the author turns to the Bush tax cuts of 2001. The administration claimed that their package would reduce the average family's taxes by over $1,000. Opponents shot back that half of all families would see less $100 of relief. Clearly, this is a case in which averaging wildly lopsided numbers doesn't tell the whole story.
The subject here isn't an exciting one, but given the author's ability to use highly relevant examples and his penchant for fair-mindedness, I was able to work through most of this one. Recommended for those interested in research, public policy, or statistics.More Damned Lies and Statistics: How Numbers Confuse Public Issues Overview

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The Book of Numbers Review

The Book of Numbers
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The Book of Numbers ReviewConway and Guy start this book with an enticing survey of how numbers pervade the English language, showing the hidden (or not-so-hidden) numerical roots of common words. They also mention other numbering systems, including the Roman numerals, Greek, Egyptian, and cuneiform Babylonian - numbers that persist in our 60-based measures of minutes and seconds, in both time and angle.
Next, they move into squares, triangular numbers, and many others with rich geometric meanings. Chapters 1 and 2, especially, create vivid images that bring many of their concepts to life. I had a bit of trouble finding ch.3's focus. It touches briefly combinatorics, a world in itself, and difference techniques. I found "Jackson's Fan" fascinating, but too terse for easy application to real problems. After this, the going gets a lot tougher, fast.
By ch 4, "Famous Families," the illustration is no longer as vivid as before. Ch. 6, on fractions and decimal expansions also held some interest - it touches on complexity in the decimal forms of fractions, and the numeric roots from which it springs. The section on continued fractions is only just enough to titillate without really enlightening. Discussion of imaginary numbers is OK, and offers some enjoyable insights. The section on quaternions, though, does a lot less to invite personal involvement and stir the imagination. Later sections of the book present readable surveys of their topics, but require a lot more form the reader in the way of determination and mathematical background.
If the whole book sustained the initial energy, it would have been an instant classic. The later parts of the book were clear, readable, and even enjoyable, but didn't match the breadth or vividness of the first half. I enjoyed this, but I may not come back to it.
//wiredweirdThe Book of Numbers Overview

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