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How is the z-score normalization (mean=0, Var=1) done in Qlucore Omics Explorer?
Question
ID
103
Category
Qlucore Omics Explorer
  Analysis
Date Created
2015-04-22 09:32:48
Date Updated
2024-11-22 13:07:51
I would like to know how do you do the normalization, Mean = 0 and Var = 1.

Answer
The normalization is standard score (z-score) normalization applied for each variable over all samples. I.e. assuming we have N samples, then for each variable let { x_i, i = 0...N-1 } be the corresponding variable values over the samples and

m = mean(x) = SUM(x_i / N)
s = std(x) = sqrt( SUM( (x_i - m)^2 / (N - 1) ) )

The normalized variable values y_i are then computed as

y_i = (x_i - m) / s
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