A large number of measures of effectiveness can be derived from this table.
To list but a few:
( | . | is the counting measure)
There is a functional relationship between all three involving a parameter called generality (G) which is a measure of the density of relevant documents in the collection.
The relationship is:
For each request submitted to a retrieval system one of these tables can be constructed.
Based on each one of these tables a precision-recall
Figure 7.1. The precisionrecall curves for two queries. The ordinals indicate the values of the control parameter
* For a derivation of this relation from Bayes' Theorem, the reader should consult the author's recent paper on retrieval effectiveness.