RT info:eu-repo/semantics/article
T1 Circular Piecewise Regression with an application to cell-cycle gene Biology
A1 Rueda Sabater, María Cristina
A1 Fernández Temprano, Miguel Alejandro
A1 Barragán, Sandra
A1 Peddada, Shyamal
A1 Mardia, Kanti
AB Applications of circular regression models appear in many different fields such as evolutionary psychology, motor behavior, biology, and, in particular, in the analysis of gene expressions in oscillatory systems. Specifically, for the gene expression problem, a researcher may be interested in modeling the relationship among the phases of cell-cycle genes in two species with differing periods. This challenging problem reduces to the problem of constructing a piecewise circular regression model and, with this objective in mind, we propose a flexible circular regression model which allows different parameter values depending on sectors along the circle. We give a detailed interpretation of the parameters in the model and provide maximum likelihood estimators. We also provide a model selection procedure based on the concept of generalized degrees of freedom. The model is then applied to the analysis of two different cell-cycle data sets and through these examples we highlight the power of our new methodology.
PB Wiley
YR 2016
FD 2016
LK http://uvadoc.uva.es/handle/10324/22921
UL http://uvadoc.uva.es/handle/10324/22921
LA eng
NO Biometrics 72(4), pp 1266-1274
DS UVaDOC
RD 06-ago-2024