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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/754

Title: Existence theorem of the quadruple (P, R, F, M): Precision, Recall, Fallout and Miss
Authors: EGGHE, Leo
Issue Date: 2007
Publisher: PERGAMON-ELSEVIER SCIENCE LTD
Citation: INFORMATION PROCESSING & MANAGEMENT, 43(1). p. 265-272
Abstract: In an earlier paper [L. Egghe. A universal method of information retrieval evaluation: the “missing “ link M and the universal IR surface, Information Processing and Management 40, 21-30, 2004] we showed that, given an IR system, and if P denotes precision, R recall, F fallout and M miss (re-introduced in the paper mentioned above), we have the following relationship between P, R, F and M: P/1-P * 1-R/R* F/1-F * 1-M/M = 1. In this paper we prove the (more difficult) converse: given any four rational numbers in the interval ]0,1[ satisfying the above equation, then there exists an IR system such that these four numbers (in any order) are the precision, recall, fallout and miss of this IR system. As a consequence we show that any three rational numbers in ]0,1[ represent any three measures taken from precision, recall, fallout and miss of a certain IR system. We also show that this result is also true for two numbers instead of three.
URI: http://hdl.handle.net/1942/754
DOI: 10.1016/j.ipm.2006.03.026
ISI #: 000241539500018
ISSN: 0306-4573
Category: A1
Type: Journal Contribution
Validation: ecoom, 2007
Appears in Collections: Research publications

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