A Nonlinear Mixed-Effects Model for Estimating Calibration Intervals for Unknown Concentrations in Two-Color Microarray Data with Spike-Ins

Pushpike J. Thilakarathne, Catholic University of Leuven and University of Hasselt
Geert Verbeke, Catholic University of Leuven and University of Hasselt
Kristof Engelen, Catholic University of Leuven
Kathleen Marchal, Catholic University of Leuven

Abstract

In this study, we propose a calibration method for preprocessing spiked-in microarray experiments based on nonlinear mixed-effects models. This method uses a spike-in calibration curve to estimate normalized absolute expression values. Moreover, using the asymptotic properties of the calibration estimate, 100(1-α)% confidence intervals for the estimated expression values can be constructed. Simulations are used to show that the approximations on which the construction of the confidence intervals are based are sufficiently accurate to reach the desired coverage probabilities. We illustrate applicability of our method, by estimating the normalized absolute expression values together with the corresponding confidence intervals for two publicly available cDNA microarray experiments (Hilson et al., 2004; Smets et al., 2008). This method can easily be adapted to preprocess one-color oligonucleotide microarray data with a slight adjustment to the mixed model.

Submitted: July 25, 2008 · Accepted: December 30, 2008 · Published: January 21, 2009

Recommended Citation

Thilakarathne, Pushpike J.; Verbeke, Geert; Engelen, Kristof; and Marchal, Kathleen (2009) "A Nonlinear Mixed-Effects Model for Estimating Calibration Intervals for Unknown Concentrations in Two-Color Microarray Data with Spike-Ins," Statistical Applications in Genetics and Molecular Biology: Vol. 8 : Iss. 1, Article 5.
DOI: 10.2202/1544-6115.1401
Available at: http://www.bepress.com/sagmb/vol8/iss1/art5

 
 
 
 

ISSN: 1544-6115 ©1999-2009 The Berkeley Electronic Press™ All rights reserved.

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