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ANOVA/FDR Example
Experiment: Three samples “PoolRef”, “Cont”, and “Ex”; six arrays: (PoolRef -Cy3, Cont -Cy5) x3 and (PoolRef -Cy3, Ex -Cy5) x3.
Goal: To determine which genes are differentially expressed between each pair of samples.
Sample results are illustrated in the following table:

Note for the above table:

The ANOVA calculations are based on Mixed Model of Wolfinger, et al.
The FDR is based on Benjamini and Hochberg.

The columns and their meaning:
GeneName: gene identifier, coming from the Agilent arrays.

Treat: sample name.

_Treat: sample name: these two columns indicate which two samples the present row/record is comaring

Estimate: log (base e=2.7183) ratio of Treat and _Treat. i.e. log (Treat/_Treat). Positive number means the gene is “up” in “Treat” and down in “_Treat”.

StdErr: error bar of the Estimate (log ratio).

DF: number of degrees of freedom; it the total number of data points minus the number of parameters in the ANOVA model.

tValue: Estimate/StdErr.

Probt: p-value, the probability that the pair of samples (Treat and _Treat) is not differentially expressed. Smaller p-value indicates that the pair of samples is differentially expressed.

FalseDiscoveryRate(FDR) : calculated using Benjamini & Hochberg method. It describes the percentage of false positives at the threshold of p-value.
 
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