School of Information Management & Systems
 Previously School of Library & Information Studies

 Michael Buckland,   Professor.    buckland@sims.berkeley.edu

  The Trade-off between Recall and Precision

Abstract:   Michael K. Buckland and Fredric Gey.   The relationship between Recall and Precision. Journal of the American Society for Information Science 45, no. 1 (Jan. 1994): 12-19.

Summary: The traditional measures of retrieval performance are Recall (completeness of retrieval) and Precision (purity of retrieval). Empirical studies of retrieval performance have shown a tendency for Precision to decline as Recall increases. Analysis of the relationships between Recall, the number of items retrieved, and Precision shows that there is a definable region for all feasible retrieval results. For all cases of consistently better-than-random retrieval, Recall curves tend to follow an increasing curve rising from the origin, and a trade-off between Precision and Recall is inherent, not just an inconvenient empirical finding. More generally, a trade-off between Precision and Recall is entailed unless, as the total number of documents retrieved increases, the marginal retrieval performance is equal to or better than overall retrieval performance thus far.
There is a fundamental relationship between Precision and Recall which, for a given model of Recall, constrains the behavior of Precision. In particular, if Recall is modeled by a polynomial function of proportion of documents found, then Precision is modeled by a lower order polynomial function of the same variable.
A simple geometric transformation can produce a quadratic model of Recall that satisfies tangency to perfect retrieval at the origin and yields reasonable looking Recall-Precision trade-offs.
Two-stage, or, more generally, multistage retrieval procedures, whereby a retrieved set is used for subsequent, more detailed search, is likely to achieve the goal of improving both Precision and Recall simultaneously even though the trade-off between them cannot be avoided.
Go to OASIS research program or to Michael Buckland's home-page. Revised Sept 2, 2005.