JSM 2005 - Toronto

Abstract #302955

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 188
Type: Contributed
Date/Time: Monday, August 8, 2005 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #302955
Title: Use of Hadamard Matrices in Identifying Differentially Expressed Genes
Author(s): Yu Ding*+ and Damaraju Raghavarao
Companies: Temple University and Temple University
Address: 2002B South John Russell Circle, ELKINS PARK, PA, 19027, United States
Keywords: differential gene expression ; microarray experiments ; Hadamard Matrix
Abstract:

Many statistical methods for detecting differentially expressed genes in multiple-slide experiments have been proposed. However, sometimes with limited experimental resources, only a single cDNA array or two Oligonuleotide arrays can be made. Many current statistical models can't be used because of the nonavailability of replicated data. We propose a new method. If the log-transformed ratios for the expressed genes and unexpressed genes have equal variance, we use a Hadamard matrix to construct a t-test. Basically, we test whether each doubtful gene has significantly differential expression compared to the unexpressed genes. We form new random variables corresponding to the rows of a Hadamard matrix using the algebraic sum of gene expressions. A one-sample t-test is constructed and the p-value is calculated for each doubtful gene based on these random variables. When the variance of expressed genes differs from the variance of unexpressed genes, we construct a z-statistic based on the result from application of the Hadamard matrix and find the confidence interval to retain the null hypothesis. Using the interval, we determine differentially expressed genes.

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