Examples of variance-stabilizing transformations are the Fisher transformation for the sample correlation coefficient, the square root transformation or Anscombe transform for type-II error.
2.
The logarithm and square root transformations are commonly used for positive data, and the multiplicative inverse ( reciprocal ) transformation can be used for non-zero data.
3.
Originally, they called this ratio the Vegetation Index ( and another variant, the square-root transformation of the difference-sum ratio, the Transformed Vegetation Index ); but as several other remote sensing researchers were identifying the simple red / infrared ratio and other spectral ratios as the vegetation index, they eventually began to identify the difference / sum ratio formulation as the normalized difference vegetation index.
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