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2015 ; 10
(9
): e0138810
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English Wikipedia
A Hybrid One-Way ANOVA Approach for the Robust and Efficient Estimation of
Differential Gene Expression with Multiple Patterns
#MMPMID26413858
Mollah MM
; Jamal R
; Mokhtar NM
; Harun R
; Mollah MN
PLoS One
2015[]; 10
(9
): e0138810
PMID26413858
show ga
BACKGROUND: Identifying genes that are differentially expressed (DE) between two
or more conditions with multiple patterns of expression is one of the primary
objectives of gene expression data analysis. Several statistical approaches,
including one-way analysis of variance (ANOVA), are used to identify DE genes.
However, most of these methods provide misleading results for two or more
conditions with multiple patterns of expression in the presence of outlying
genes. In this paper, an attempt is made to develop a hybrid one-way ANOVA
approach that unifies the robustness and efficiency of estimation using the
minimum ?-divergence method to overcome some problems that arise in the existing
robust methods for both small- and large-sample cases with multiple patterns of
expression. RESULTS: The proposed method relies on a ?-weight function, which
produces values between 0 and 1. The ?-weight function with ? = 0.2 is used as a
measure of outlier detection. It assigns smaller weights (? 0) to outlying
expressions and larger weights (? 1) to typical expressions. The distribution of
the ?-weights is used to calculate the cut-off point, which is compared to the
observed ?-weight of an expression to determine whether that gene expression is
an outlier. This weight function plays a key role in unifying the robustness and
efficiency of estimation in one-way ANOVA. CONCLUSION: Analyses of simulated gene
expression profiles revealed that all eight methods (ANOVA, SAM, LIMMA, EBarrays,
eLNN, KW, robust BetaEB and proposed) perform almost identically for m = 2
conditions in the absence of outliers. However, the robust BetaEB method and the
proposed method exhibited considerably better performance than the other six
methods in the presence of outliers. In this case, the BetaEB method exhibited
slightly better performance than the proposed method for the small-sample cases,
but the the proposed method exhibited much better performance than the BetaEB
method for both the small- and large-sample cases in the presence of more than
50% outlying genes. The proposed method also exhibited better performance than
the other methods for m > 2 conditions with multiple patterns of expression,
where the BetaEB was not extended for this condition. Therefore, the proposed
approach would be more suitable and reliable on average for the identification of
DE genes between two or more conditions with multiple patterns of expression.