Tuesday, July 26, 2011

Book Review - Drunkard's Walk

BOOK REVIEW

By Ronald Scheurer

The Drunkard’s Walk – How Randomness Rules Our Lives
Leonard Mlodinow
2008

Statistics is often thought of as a rather dry subject, but actually it can get pretty wet. To many the mathematical part of it may seem like a rainless trip through a group of staid formulas. Ah, but the probabilistic part of it adds that final leap of personal faith one has to make on whether to take or not to take some particular action. Mlodinow explains that statistics are data; that effect usually follows cause, and with enough data, the probability of accurate predictions of future events is a safe game. So you leave the umbrella home and get soaked in the afternoon. Then the sun comes out.

Decision making involves choice among alternatives based on information that may be wrong, right, or purposely deceptive. Mlodinow explains the role that chance plays in choice. Are there usable principles that can minimize making poor decisions when apparent fortuitous situations beg for a leap of faith? Well, maybe; but understanding how randomness affects our daily affairs in ways over which we have no control is called fate.

Enter probability. Toss a coin once. Heads. Again. Heads. Four more times. Heads. Probability for the next toss is 50/50 heads or tails. In a chain of 10,000 tosses, the chances of six heads in a sequence is possible. Who knows? It could land on the edge! Randomness is not short term; it’s long term. And there is no way to tell when that winning streak will occur, nor how long it will last.

Early statistics centered on demographics and economics. Today it is applied to just about everything having over 15 specialties. Being born is a statistic. Being dead is a statistic. But aside from cut and dry data, how information is presented can bias the results of statistical analysis. Mlodinow does an excellent job explaining data collection and its use with examples drawn from history to the present.

The infamous bell curve and where some particular bit of data lies on it can be puzzling. Looking only at the top of the wave, if it is steep, implies one thing, but suppose the wave is spread out over a very wide range and points on the peak of the curve are not much higher than those on the center bottom of the wave?

How are lives affected when totally unrelated people are making decisions that unknown to each one causes them to converge at a single point in time and place? The train accident or massive highway collision involving multiple automobiles and trucks during a snow storm. Each person’s chance decision (a string of random decisions - numbers) placed them at that point.

Randomness rules.

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