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What evaluation classifiers? Precision & recall?

Hi,

I have some labeled data which classifies datasets as positive or negative. Now i have an algorithm that does the same automatically and I want to compare the results.

I was said to use precision and recall, but I'm not sure whether those are appropriate because the true negatives don't even appear in the formulas. I'd rather tend to use a general "prediction rate" for both, positives and negatives.

How would be a good way to evaluate the algorithm? Thanks!!