@inbook{8695e6caedd147298d83245d9a85b253,
title = "A Two-Way Semilinear Model for Normalization and Analysis of Microarray Data",
abstract = "A proper normalization procedure ensures that the normalized intensity ratios provide meaningful measures of relative expression levels. We describe a two-way semilinear model (TW-SLM) two-way semilinear model (TW-SLM) for normalization and analysis of microarray data. This method does not make the usual assumptions underlying some of the existing methods. The TW-SLM also naturally incorporates uncertainty due to normalization into significance analysis of microarrays. We propose a semiparametric M-estimation method in the TW-SLM to estimate the normalization curves and the normalized expression values, and discuss several useful extensions of the TW-SLM. We describe a back-fitting algorithm for computation in the model. We illustrate the application of the TW-SLM by applying it to a microarray data set. We evaluate the performance of TW-SLM using simulation studies and consider theoretical results concerning the asymptotic distribution and rate of convergence of the least-squares estimators in the TW-SLM.",
keywords = "Normalization Curve, Normalization Method, Polynomial Spline, Spiked Gene, Spline Method",
author = "Jian Huang and Zhang, \{Cun Hui\}",
note = "Publisher Copyright: {\textcopyright} 2006, Springer-Verlag.",
year = "2006",
doi = "10.1007/978-1-84628-288-1\_40",
language = "American English",
series = "Springer Handbooks",
publisher = "Springer",
pages = "719--735",
booktitle = "Springer Handbooks",
}