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Title: Circular Piecewise Regression with an application to cell-cycle gene Biology
Authors: Rueda, Cristina
Fernández, Miguel
Barragán, Sandra
Peddada, Shyamal
Mardia, Kanti
Issue Date: 2016
Publisher: Wiley
Citation: Biometrics 72(4), pp 1266-1274
Abstract: 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.
Peer Review: SI
DOI: 10.1111/biom.12512
Sponsor: Ministerio de Ciencia e Innovación grant (MTM2012-37129)
Junta de Castilla y León, Consejería de Educación and the European Social Fund
Intramural Research Program of the National Institute of Environmental Health Sciences (NIEHS) [Z01 ES101744-04]
Publisher Version:;jsessionid=4649BAE88C1AF5513260415AD31B4268.f04t02
Rights Owner: Wiley
Language: eng
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:DEP24 - Artículos de revista

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