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Egghe, L.: ¬A universal method of information retrieval evaluation : the "missing" link M and the universal IR surface (2004) 0.03

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Date: 14. 8.2004 19:17:22
Source: Information processing and management. 40(2004) no.1, S.21-30

Egghe, L.; Guns, R.; Rousseau, R.; Leuven, K.U.: Erratum (2012) 0.01

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Date: 14. 2.2012 12:53:22

Egghe, L.: Existence theorem of the quadruple (P, R, F, M) : precision, recall, fallout and miss (2007) 0.01
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Abstract

In an earlier paper [Egghe, L. (2004). A universal method of information retrieval evaluation: the "missing" link M and the universal IR surface. Information Processing and Management, 40, 21-30] 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.

Date

25.12.2007 18:21:14

Egghe, L.; Rousseau, R.: Averaging and globalising quotients of informetric and scientometric data (1996) 0.01

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Source: Journal of information science. 22(1996) no.3, S.165-170

Egghe, L.: Zipfian and Lotkaian continuous concentration theory (2005) 0.01

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Date: 21. 7.2005 16:26:25

Egghe, L.; Guns, R.: Applications of the generalized law of Benford to informetric data (2012) 0.01

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Date: 26. 8.2012 14:04:21

Egghe, L.: Empirical and combinatorial study of country occurrences in multi-authored papers (2006) 0.00

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Date: 21. 2.1997 19:37:24

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