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Re: Significant figures - a Modest Proposal



On Wed, 1 Sep 1999, Ludwik Kowalski wrote:

Robert A Cohen wrote:

Before this year, I used to separate precision and accuracy. I used
precision to describe the "random" error and accuracy to describe the
"systematic" error. I realized this was simplifying things, but I felt it
was sufficient for the students. Unfortunately, I can't succinctly
describe the problem I had with that approach.

The precision can be improved, as much as we wish (in principle)
by increasing the number of measurements and using the average.
But the accuracy can not be improved in that way; it can only be
improved by eliminating biasses.

Thanks for your response. Is this your opinion or is there a reference
you can refer me to? The "target" example of low precision and high
accuracy seems to imply that using one imprecise "bullet" would lead to a
result that differs from the "actual" and thus be inaccurate. Averaging
many imprecise "bullets" would lead to a result that agrees with the
"actual" and thus would be accurate (assuming no biases). I could be
wrong...

P.S. The header I received on your message was
Date: Wed, 01 Sep 1999 21:10:22 -0400
but I received it Tuesday morning around noon. Is this a mistake on my
end or what?

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| Robert Cohen Department of Physics |
| East Stroudsburg University |
| bbq@esu.edu East Stroudsburg, PA 18301 |
| http://www.esu.edu/~bbq/ (570) 422-3428 |
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