basicPower

basicPower computes the basic power transformation

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Syntax

  • Ytra=basicPower(Y,ColtoTra,la)example
  • Ytra=basicPower(Y,ColtoTra,la,Name,Value)example

Description

example

Ytra =basicPower(Y, ColtoTra, la) Example of transformation.

example

Ytra =basicPower(Y, ColtoTra, la, Name, Value) Simulated data check inverse transformation.

Examples

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  • Example of transformation.

    • Mussels data. 

    load('mussels.mat');
Y=mussels{:,:};
la=[0.5 0 0.5 0 0];
% Transform all columns of matrix Y according to the values of la using
% basic power transformation
Y1=basicPower(Y,[],la);

  • Simulated data check inverse transformation.

    • n=100;p=5;
Y=abs(randn(n,p));
la=[0.5 0 -0.5 2 0];
% Transform all columns of matrix Y according to the values of la
Ytra=basicPower(Y,[],la);
Ychk=basicPower(Ytra,[],la,'inverse',true);
disp(max(max(abs(Y-Ychk))))

    Input Arguments

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    Y — Input data. Matrix.

    n x v data matrix; n observations and v variables. Rows of Y represent observations, and columns represent variables.

    Missing values (NaN's) and infinite values (Inf's) are allowed, since observations (rows) with missing or infinite values will automatically be excluded from the computations.

    Data Types: single|double

    ColtoTra — Variable to transform. Vector.

    k x 1 integer vector specifying the variables which must be transformed. If it is missing and length(la)=v all variables are transformed

    Data Types: single|double

    la — transformation parameters. Vector.

    k x 1 vector containing set of transformation parameters for the k ColtoTra.

    Data Types: single|double

    Name-Value Pair Arguments

    Specify optional comma-separated pairs of Name,Value arguments. Name is the argument name and Value is the corresponding value. Name must appear inside single quotes (' '). You can specify several name and value pair arguments in any order as Name1,Value1,...,NameN,ValueN.

    Example: 'inverse',true

    inverse —Inverse transformation.logical.

    If inverse is true, the inverse transformation is returned. The default value of inverse is false.

    Example: 'inverse',true

    Data Types: Logical

    Output Arguments

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    Ytra —transformed data matrix. Matrix

    n x v data matrix containing transformed observations When $\lambda \ne 0$ \[ ytra = y^\lambda \] else \[ ytra = log(y) \]

    References

    Box, G.E.P. and Cox, D.R. (1964), An analysis of transformations (with Discussion), "Journal of the Royal Statistical Society Series B", Vol. 26, pp. 211-252.

    See Also

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