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A review of tensor-based methods and their application to hospital care data

Giordani, P. & Kiers, H. A. L., 15-Jan-2018, In : Statistics in Medicine. 37, 1, p. 137-156 20 p.

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  • A review of tensor‐based methods and their application to hospital care data

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DOI

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.
Original languageEnglish
Pages (from-to)137-156
Number of pages20
JournalStatistics in Medicine
Volume37
Issue number1
Publication statusPublished - 15-Jan-2018

    Keywords

  • CANONICAL POLYADIC DECOMPOSITION, PRINCIPAL COMPONENT ANALYSIS, 3-MODE FACTOR-ANALYSIS, ORTHOGONAL ROTATION, 3-WAY ARRAYS, ALGORITHMS, UNIQUENESS, MODELS, FACTORIZATIONS, CRITERION

ID: 73699415