Random thoughts of an economist

Generalization based on the sample size of one

Posted in Hong Kong, Statistics/Econometrics, teaching, Water by kafuwong on July 21, 2015

Recently, lead in water has occupied headlines of major newspapers in Hong Kong. Experts are consulted. Some experts appeared to mis-speak carelessly. The most laughable statement was made by a medical doctor, who is a consultant of the “Hong Kong Poison Control Network”. He remarked that lead poisoning can be caused by chewing on a pencil, among many other causes. It was so laughable that it is widely circulated on the internet.

Admit it, most of us do not know why this statement is laughable. OK. It is laughable because pencils (called “lead” pen in Chinese) do not contain any lead in the writing core nowadays. Although the writing core of some early pencils were made of lead, it has since replaced by the non-toxic grahpite. (http://pencils.com/pencil-history/) And, the statement came from a consultant of the “Hong Kong Poison Control Network”.

In fact, at least supposedly so, nowadays even the paint cover of pencils should not contain lead so that most pencils are safe for chewing (not encouraged).

—–

Internet is a powerful tool. A friend appeared excited about the lead poisoning from pencil chewing story that he added a catchy title to his sharing of the news report about the doctor’s statement: “If you cannot trust doctors, who can you trust?”

It is this catchy and exaggerated statement that caught my attention. I have to admit, I like it.

Nevertheless, the statement is clearly too much a generalization based on the sample size of one. That “specific doctor” may not be trustworthy on this specific issue, but it does not mean that “specific doctor” is not trustworthy on other issues. Certainly, it does not mean that other doctors are not trustworthy.

Beware of similar generalization from a small sample of observations.

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