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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 | Source: | 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. | Keywords: | precision; recall; fallout; miss; universal IR surface; existence | Document URI: | http://hdl.handle.net/1942/754 | ISSN: | 0306-4573 | e-ISSN: | 1873-5371 | DOI: | 10.1016/j.ipm.2006.03.026 | ISI #: | 000241539500018 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2007 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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existence 1.pdf Restricted Access | Published version | 121.3 kB | Adobe PDF | View/Open Request a copy |
existence 2.pdf | Peer-reviewed author version | 5.39 kB | Adobe PDF | View/Open |
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