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Re: 4 million

The actual number is 34%, as I stated above. The survey didn't ask how many times it had happened. An average of two for those that had been thwarted is my guess based on assuming that the distribution of the...

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Tim Lambert Tim Lambert (deltoidblog AT gmail.com) is a computer scientist at the University of New South Wales.

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« Handgun accidents vs long gun accidents | Main | Killias vs Kleck »

Re: 4 million

Category: dgu
Posted on: April 2, 1997 9:06 AM, by Tim Lambert

The actual number is 34%, as I stated above. The survey didn't ask how many times it had happened. An average of two for those that had been thwarted is my guess based on assuming that the distribution of the number of thwartings was Poisson (ie, each criminal was equally likely to encounter an armed victim).

jmaraldo writes:

I have not had the pleasure of making Mr. Poisson's acquaintance - ie, I know nothing of statistical methods :=) But why does he suppose that the likelihood of encounter with an armed victim is equal for all criminals though criminals choose the type of crime in which they will engage?

Because, it makes the calculations simpler :-). Of course, it's only an approximation. A quick simulation reveals that even if the risk differs greatly for different criminals, so that 80% of the DGUs are against 20% of the criminals, the average number of encounters for those criminals that had at least one would be three. This amounts to a 50% increase in the estimate of DGUs to about 100k.

And on a slightly different subject, aren't we comparing apples and oranges when we compare the response of convicts to the response of citizens at large? Why assume that convicts' experience of meeting armed resistance is representative of the experience of criminals generally, when the convicts comprise a (very small) subset of the nation's criminal population? Wouldn't a random sampling of civilians be more representative of the general population's experience of armed defense than a random sampling of convicts?

Other things being equal, yes. However, it seems unlikely that errors introduced by using a somewhat biased samples will not be that great. (If DGU makes it more likely for a criminal to be caught, then the bias will cause an OVERestimate.)

I don't see how we can explain the enormous disparity in the estimates by sample bias. Some people must not be telling the truth. Generally we would expect non-criminals to more honest, but the choice is between most of the criminals lying, and 3% of the general population lying.

In any case, Kleck is clearly wrong when he cites the 34% statistic as being supportive of his result. Without exception, every single crosscheck I have been able to carry out indicates that his estimate is way too high.

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