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BUILT-IN MATHEMATICA SYMBOL

Standardize

Standardize[list]
shifts and rescales the elements of list to have zero mean and unit sample variance.

Standardize

shifts the elements in list by

and rescales them to have unit sample variance.

Standardize

shifts by

and scales by

MORE INFORMATION

Standardize shifts by a location and rescales by a scale estimated from the elements of list.

Standardize[list] is effectively (list-Mean[list])/StandardDeviation[list] for nonzero StandardDeviation[list].

Standardize is effectively (list-f₁[list])/StandardDeviation[list].

Standardize is effectively .

Common choices for and include:

Mean	StandardDeviation	zero mean and unit variance
Mean		shift to mean 0
Median		shift by the median
	StandardDeviation	scale to have unit variance

Standardize handles both numerical and symbolic data.

Standardize effectively gives Transpose. »

Standardize works with SparseArray objects. »

EXAMPLES

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Basic Examples (3)

Compute standard scores for data:

Shift to have mean zero without scaling:

Shift by the Median and scale by the InterquartileRange:

Compute standard scores for data:

In[1]:=

Out[1]=

In[2]:=

Out[2]=

Shift to have mean zero without scaling:

In[1]:=

Out[1]=

In[2]:=

Out[2]=

In[3]:=

Out[3]=

Shift by the Median and scale by the InterquartileRange:

In[1]:=

Out[1]=

Scope (4)

Standardize exact numeric data:

Symbolic values:

Standardize arbitrary-precision data:

Standardize matrix data by column:

Generalizations & Extensions (1)

Standardize a SparseArray:

Applications (1)

Shift normally distributed values to a standard normal:

The theoretical curves:

Properties & Relations (1)

Compute MeanDeviation using Standardize:

MedianDeviation: