Multivariate Adaptive Regression Splines (MARS) for non-linear time series dependence: An application in biostatistics

Over several years, time series analysis using ARIMA modelling has been proposed as a suitable method to investigate the nonlinear relationship between antimicrobial use and resistance. Nonetheless, these studies did not mention the thresholds of antibiotic use to manage the precise prescription. Th...

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Detalles Bibliográficos
Autor: Pham Thi Van, Ha
Tipo de recurso: tesis de maestría
Fecha de publicación:2021
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/348071
Acceso en línea:https://hdl.handle.net/2117/348071
Access Level:acceso abierto
Palabra clave:Statistical mechanics
MARS
TF
Antimicrobial use and resistance rate
Mecànica estadística
Classificació AMS::82 Statistical mechanics, structure of matter::82C Time-dependent statistical mechanics (dynamic and nonequilibrium)
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
Descripción
Sumario:Over several years, time series analysis using ARIMA modelling has been proposed as a suitable method to investigate the nonlinear relationship between antimicrobial use and resistance. Nonetheless, these studies did not mention the thresholds of antibiotic use to manage the precise prescription. This paper explores using multivariate adaptive regression splines for nonlinear time series to develop models applying monthly antimicrobial resistance and antimicrobial use data. And according to the study of the MARS methodology with the application to antibiotic use and resistance, this type of model is proved to be useful to identify relationships between explanatory and outcome time series. The approach is very flexible and allows for the inclusion of smooth functions, thresholds and lags in the input time series that reflect non-linear dependencies.