naginterfaces.library.mv.z_​scores¶

naginterfaces.library.mv.z_scores(x, nvar, isx, s, e)[source]

z_scores produces standardized values (-scores) for a data matrix.

For full information please refer to the NAG Library document for g03za

https://www.nag.com/numeric/nl/nagdoc_28.5/flhtml/g03/g03zaf.html

Parameters
xfloat, array-like, shape

must contain the th sample point for the th variable, , for , for .

nvarint

, the number of variables to be standardized.

isxint, array-like, shape

indicates whether or not the observations on the th variable are included in the matrix of standardized values.

If , the observations from the th variable are included.

If , the observations from the th variable are not included.

sfloat, array-like, shape

If , must contain the scaling (standard deviation), , for the th variable.

If , is not referenced.

efloat, array-like, shape

If , must contain the location shift (mean), , for the th variable.

If , is not referenced.

Returns
zfloat, ndarray, shape

The matrix of standardized values (-scores), .

Raises
NagValueError
(errno )

On entry, and .

Constraint: .

(errno )

On entry, .

Constraint: .

(errno )

On entry, .

Constraint: .

(errno )

On entry, and values of .

Constraint: exactly elements of .

(errno )

On entry, and .

Constraint: .

Notes

For a data matrix, , consisting of observations on variables, with elements , z_scores computes a matrix, , with elements such that: