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http://hdl.handle.net/1942/8494
Title: | The relation between Pearson’s correlation coefficient r and Salton’s cosine measure | Authors: | EGGHE, Leo Leydesdorff, L. |
Issue Date: | 2009 | Publisher: | JOHN WILEY & SONS INC | Source: | JOURNAL OF THE AMERICAN SOCIETY FOR INFORMATION SCIENCE AND TECHNOLOGY, 60(5). p. 1027-1036 | Abstract: | The relation between Pearson’s correlation coefficient and Salton’s cosine measure is revealed based on the different possible values of the division of the -norm and the norm of a vector. These different values yield a sheaf of increasingly straight lines which form together a cloud of points, being the investigated relation. These theoretical results are tested against the author co-citation relations among 24 informetricians for who two matrices can be constructed, based on co-citations: the asymmetric occurrence matrix and the symmetric co-citation matrix. Both examples completely confirm the theoretical results. The results enable us to specify an algorithm which provides a threshold value for the cosine above which none of the corresponding Pearson correlations would be negative. Using this threshold value can be expected to optimize the visualization. | Keywords: | AUTHOR COCITATION ANALYSIS; STRONG SIMILARITY MEASURES; COOCCURRENCE DATA; ORDERED SETS; DOCUMENTS;Pearson; correlation coefficient; Salton; cosine; non-functional relation; threshold | Document URI: | http://hdl.handle.net/1942/8494 | ISSN: | 1532-2882 | DOI: | 10.1002/asi.21009 | ISI #: | 000265420700011 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2010 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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correlation 1.pdf Restricted Access | Published version | 765.22 kB | Adobe PDF | View/Open Request a copy |
correlation 2.pdf | Peer-reviewed author version | 486.92 kB | Adobe PDF | View/Open |
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