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Because the nature of this data is compositional, intensity data has been transformed using the centred log ratio (CLR) in order to project it in Euclidean space [26 28].

A number of whole insects from species spanning three orders [ 13, 16] as well as non-insect species ranging from planarian to mammalian cells [ 17- 20] have been transformed using the piggyBac vector system.

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The deletion cassette was transformed using the protoplast transformation method.

The percentages of compounds were transformed using the arcsine transformation in order to improve the distribution property.

Where necessary, traits were transformed using the Box Cox transformation (Box and Cox, 1964).

Thus, the correlation between the marginal statistics when population structure is corrected is closer to the correlation between the genotype which is transformed using the right transformation matrix.

To ensure greater homogeneity of variance within tree sizes, pIm scores used in statistical tests were transformed using the arcsine transformation [[ 27] p.421].

Before analysis, however, male attractiveness was transformed using natural logarithms and average mating duration was transformed using the square root transformation as both were positively skewed.

The data were transformed using the variance stabilization transformation (VST) [37] and normalized using the robust spline normalization (RSN) [36].

The proportion clustered was transformed using the Freeman Tukey transformation.

Step 2: The ODE model is transformed using the proposed linear transformation pattern.

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