In the first part of the panel the A
vs. M
plots per sample are depicted.
The values are defined as follows
- $A = 1/2 \cdot (I_i + I_j)$ and
- $M = I_i- I_j$,
where $I_i$ and $I_j$ are transformed values. In the case of raw or
normalized the values are log2
-transformed prior to
calculating A
and M
. In case of transformed or
batch corrected
the values are taken as they are (N.B. when the transformation
method is set to none the values are not log2
-transformed).
The values for $I_i$ are taken from the sample $i$. For $I_j$, the feature-wise
means are calculated from the values of the group $j$ of samples specified
by the drop-down menu group. The sample for calculating $I_i$ is
excluded from the group $j$. The group can be set to "all"
(i.e. all samples except sample $i$ are used to calculate
$I_j$) or any other column in colData(se)
. For any group except "all"
the
group is taken to which the sample $i$ belongs to and the sample $i$ is
excluded from the feature-wise calculation.
The MA values for all samples are by default displayed facet-wise. The MA plot can be set to specific samples by changing the selected value in the input menu plot.
The underlying data set can be selected by the drop-down menu (Data set for the MA plot).
In the second part of the tab, the Hoeffding's D statistic values are visualized for the different data sets raw, normalized, transformed, and batch corrected.
D
is a measure of the distance between F(A, M)
and G(A)H(M)
, where
F(A, M)
is the joint cumulative distribution function (CDF) of
A
and M
, and G
and H
are marginal CDFs.
The higher the value of D
, the more dependent are A
and M
.
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