A review of tensor‐based methods and their application to hospital care data. (10th October 2017)

• Record Type: Journal Article
• Authors: Giordani, Paolo; Kiers, Henk A.L.
• Is Part Of: Statistics in medicine. Volume 37:Number 1(2018)
• Page Start: 137
• Page End: 156
• Publication Date: 2017-10-10
• Subjects: Candecomp/Parafac -- hospital care data -- tensor‐based methods -- 3‐way data -- Tucker3; Medical statistics -- Periodicals; Statistique médicale -- Périodiques; Statistiques médicales -- Périodiques; 610.727
• DOI: 10.1002/sim.7514
• Languages: English
• ISSNs: 0277-6715

Abstract

Abstract : In many situations, a researcher is interested in the analysis of the scores of a set of observation units on a set of variables. However, in medicine, it is very frequent that the information is replicated at different occasions. The occasions can be time‐varying or refer to different conditions. In such cases, the data can be stored in a 3‐way array or tensor. The Candecomp/Parafac and Tucker3 methods represent the most common methods for analyzing 3‐way tensors. In this work, a review of these methods is provided, and then this class of methods is applied to a 3‐way data set concerning hospital care data for a hospital in Rome (Italy) during 15 years distinguished in 3 groups of consecutive years (1892–1896, 1940–1944, 1968–1972). The analysis reveals some peculiar aspects about the use of health services and its evolution along the time.