Because f (s 1 f, s 2 f ) is always negative or zero, the maximal variance given s1 and s2 occurs when f (s 1 f, s 2 f ) = 0, which occurs on the line s 1 f s 2 = s 2 f s 1. Equivalently, recalling Equation 1, s 1 f s 2 f = s 1 m s 2 m = s 1 s 2. (56)Equation 56 has many solutions for (s 1 f, s 1 m, s 2 f, s 2 m ) given s1 and s2.
For each choice of s1 and s2, the maximal variance over values of s 1 f and s 2 f is given by Equation 57.
For cpDNA, an assumption with two groups (K = 2) displayed the greatest value of FCT and a maximal variance (FCT = 0.6167, P < 0.05).
The SAMOVA of nrDNA sequences also revealed the greatest value of FCT and a statistically maximal variance between two groups (FCT = 0.5889, P < 0.05) (Table 2).
As in Figure 8, Figure 9, Figure 10, and Figure 11, the maximal variance occurs in the cell with s 1 m = s 2 m = 0.5 at s 1 f = s 2 f = 0.5.
Rotating the high dimensional data, they are projected onto a 2 dimensional planar in a way that maximal variance can be seen according to the first and second axis.
Upon reaching maximal variance reduction within a local data segment the amplitude and phase shift of the respective oscillation is calculated and then shifted beat by beat for temporal resolution of frequency and amplitude.
However, as the domain for s 1 f and s 1 m shrinks with increasing hf and hm, the location of the maximal variance changes across cells.
Genes represented by multiple probesets were averaged, and expression values were scaled to the probeset with the maximal variance for that gene.
