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Min-Max Scaling

Linear rescaling of values into a predefined interval, typically [0,1] or [-1,1]. Presents data by subtracting the minimum and then dividing by the range of the distribution.

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Johnson Transformation

System of three families of transformations (SB, SL, SU) covering all possible continuous distributions. Automatically selects the appropriate family and estimates parameters to normalize data.

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Variance Stabilizing Transformation

Application of a function whose derivative is inversely proportional to the standard deviation of the variable. Aims to make variance independent of the mean, essential for parametric models.

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Freeman-Tukey Transformation

Specific transformation for count data combining square roots of x and x+1. Particularly effective for stabilizing variance of Poisson distributions with small values.

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Anscombe Transformation

Square root function with optimized additive correction for data following a Poisson distribution. Transforms x into square root of (x + 3/8) to approximate a normal distribution.

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Wilson-Hilferty Transformation

Cubic root transformation approximating a chi-square distribution by a normal distribution. Applies the power 1/3 with correction to reduce skewness of chi-square distributions.

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Lambert W Transformation

Application of the Lambert W function to symmetrize skewed Gaussian distributions. Parameterizes the transformation by skewness and kurtosis to reverse Gaussian deformations.

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Fisher Transformation

Hyperbolic tangent transformation of correlation coefficients to stabilize their variance. Converts the bounded distribution of correlations [-1,1] into an approximately normal distribution on R.

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Robust Scaling

Scaling method using the median and interquartile range instead of the mean and standard deviation. Resistant to extreme values that would affect standard transformations based on moments.

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