1. A method for determining groups in nonparametric regression curves: Application to prefrontal cortex neural activity analysis
- Author
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Javier Roca-Pardiñas, Celestino Ordóñez, Luís Meira Machado, and Universidade do Minho
- Subjects
Clustering of regression curves ,Science & Technology ,Models, Statistical ,Number of groups ,Multiple regression curves ,Applied Mathematics ,Generalized additive model ,Prefrontal Cortex ,General Medicine ,Computational Mathematics ,Research Design ,Modeling and Simulation ,Factor-by-curve interaction ,Nonlinear regression ,Humans ,Computer Simulation ,General Agricultural and Biological Sciences ,Ciências Naturais::Matemáticas - Abstract
Generalized additive models provide a flexible and easily-interpretable method for uncovering a nonlinear relationship between response and covariates. In many situations, the effect of a continuous covariate on the response varies across groups defined by the levels of a categorical variable. When confronted with a considerable number of groups defined by the levels of the categorical variable and a factor‐by‐curve interaction is detected in the model, it then becomes important to compare these regression curves. When the null hypothesis of equality of curves is rejected, leading to the clear conclusion that at least one curve is different, we may assume that individuals can be grouped into a number of classes whose members all share the same regression function. We propose a method that allows determining such groups with an automatic selection of their number by means of bootstrapping. The validity and behavior of the proposed method were evaluated through simulation studies. The applicability of the proposed method is illustrated using real data from an experimental study in neurology., This work was partially supported by project 2017/00001/006/001/097: Ayudas para el man tenimiento de actividades de investigaci ´on de institutos universitarios de investigaci ´on y grupos de investigaci´on de la Universidad de Oviedo para el ejercicio 2021. Luís Meira-Machado acknowledges financial support from Portuguese Funds through FCT - ”Fundação para a Ciência e a Tecnologia”, within the projects UIDB ˆ /00013/2020, UIDP/00013/2020. Javier Roca-Pardinas acknowledges financial support from Grant PID2020-118101GB-I00, Ministerio de Ciencia e Innovacion (MCIN/AEI /10.13039/501100011033).
- Published
- 2022