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The raw cytokine data were not normally distributed (Shapiro-Wilk W test < 0.05); thus, a log transformation was conducted to transform the cytokine concentrations into normally distributed data before assessing cytokine differences.
Similar to the above-mentioned ROI-whole brain level analysis, Fisher's r-to-z transformation was conducted to increase the normality of the fMRI data.
Wavelet transformation was conducted on the pressure measurements to analyse the surface pressure fluctuation characteristics and to identify the pressure distribution in different frequency bands.
The transformation was conducted by introducing a reverse sweep bias with high Icomp after initiating unipolar switch leading to the formation of oxygen-defective region near the bottom electrode, as depicted in the inset of Fig. 3b [84].
Protoplast transformation was conducted using a 96-well plate (U-bottom plate; U96 MicroWell Plates, Nalge Nunc International, NY) based on the method previously published (Kato and Jones [2010]).
If the data did not follow the Gaussian distribution, transformation was conducted prior to parametric one-way ANOVA; thereafter, the differences between the groups were checked by Tukey's Multiple Comparison Test.
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In this work, a direct transformation is conducted.
Raw pitch values are calculated first using Praat[24], then a log-scale transformation is conducted according to the following equation: S = 69 + 12 log 2 f 440, (7).
The 2D transformation in the grouping stage is applied along both horizontal and vertical lines for each patch, and then a third transformation is conducted along the third diminution of the 3D array for the 3D transform.
Then the first order reliability method (FORM) modified to incorporate the Box-Cox transformation is conducted at each point to estimate the probability of liquefaction (PL) of the soil with the consideration of the parameter uncertainties.
The transformation is conducted by electroporation with Bio-Rad Gene Pulser and Pulse Controller devices (Sanchez et al. 1993), and transformants were selected as Ura+ and G418R colonies.
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