A Mann–Whitney scan statistic for continuous data. Issue 2 (17th January 2016)

• Record Type: Journal Article
• Authors: Cucala, Lionel
• Is Part Of: Communications in statistics. Volume 45:Issue 2(2016)
• Page Start: 321
• Page End: 329
• Publication Date: 2016-01-17
• Subjects: Cluster detection -- Non parametric statistics -- Scan statistics -- Spatial statistics; 62-07; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2013.806667
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: A new method is proposed for identifying clusters in continuous data indexed by time or by space. The scan statistic we introduce is derived from the well-known Mann–Whitney statistic. It is completely non parametric as it relies only on the ranks of the marks. This scan test seems to be very powerful against any clustering alternative. These results have applications in various fields, such as the study of climate data or socioeconomic data.