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Before 4D-Fourier transformation, data were zero-filled to 64 × 64 × 64 points in the spatial domain.
If variance was not homogeneous following transformation, data were compared using Kruskal-Wallis tests (for multiple comparisons) or Mann-Whitney U-tests (for two-way comparisons) and Bonferroni p-value corrections were used to correct for nonparametric multiple comparisons.
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Furthermore, a new additivity rule based on non-isothermal transformation data, analogous to the traditional additivity rule based on isothermal transformation data, is introduced.
Due to much of the data not being normally distributed prior to transformation, data are shown as geometric mean (95%% confidence interval) unless otherwise stated.
Control transformation data is given in absolute numbers of hygromycin resistant calluses and percentages of transgenic plants, always relative to the previous step.
The environmental transformation matrix data were collected from the KEGG database (Ogata et al., 1999) as of September 2010.
After square root transformation, the data were analysed in an ANOVA with terms for population, treatment, and their interaction.
After log transformation the data were then quantile normalized [ 164].
After Fourier transformation, the data were phased and subjected to baseline correction.
After log2 transformation, the data were normalized by a within-slide LOWESS smoothing procedure.
Before applying the Hilbert transformation, the data were pre-processed in order to avoid artefacts.
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