Logo image
A Two-Way Semilinear Model for Normalization and Analysis of Microarray Data
Book chapter

A Two-Way Semilinear Model for Normalization and Analysis of Microarray Data

Jian Huang and Cun-Hui Zhang
Springer Handbook of Engineering Statistics, pp.719-735
Springer London
2006
DOI: 10.1007/978-1-84628-288-1_40

View Online

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.
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Engineering Industrial and Production Engineering Quality Control, Reliability, Safety and Risk Statistics for Engineering, Physics, Computer Science, Chemistry & Geosciences Business/Management Science, general Industrial Chemistry/Chemical Engineering

Details

Metrics

41 Record Views
Logo image