Libraries.Compute.Statistics.Transforms.UncorrelatedComponentRotation Documentation

UncorrelatedComponentRotation implements a varimax orthogonal rotation: Maintains non-correlation while maximizing the sum of variance across all factors. This helps highlight a reduced number of variables to explain the same results. This rotation produces factors that are uncorrelated. Varimax For more information: Kaiser, H. F. (1958). The varimax criterion for analytic rotation in factor analysis. http://cda.psych.uiuc.edu/psychometrika_highly_cited_articles/kaiser_1958.pdf Jennrich, Robert (1970). Orthogonal rotation algorithms https://link.springer.com/content/pdf/10.1007/BF02291264.pdf?pdf=button Jennrich, Robert (2001). A simple general method for orthogonal rotation https://link.springer.com/content/pdf/10.1007/BF02294840.pdf?pdf=button

Example Code

use Libraries.Compute.Statistics.DataFrame
use Libraries.Compute.Statistics.Tests.PrincipalComponentAnalysis
use Libraries.Compute.Statistics.Tests.UncorrelatedComponentRotation

DataFrame frame
frame:Load("Data/Data.csv")
frame:SelectAllColumns()

PrincipalComponentAnalysis pca
pca:Calculate(frame)
DataFrame loadings = pca:GetFactorLoadings()

UncorrelatedComponentRotation varimax
DataFrame rotated = varimax:Rotate(loadings)

output rotated:ToText()

Inherits from: Libraries.Compute.Statistics.Transforms.ComponentRotation, Libraries.Language.Object

Actions Documentation

Compare(Libraries.Language.Object object)

This action compares two object hash codes and returns an integer. The result is larger if this hash code is larger than the object passed as a parameter, smaller, or equal. In this case, -1 means smaller, 0 means equal, and 1 means larger. This action was changed in Quorum 7 to return an integer, instead of a CompareResult object, because the previous implementation was causing efficiency issues.

Parameters

Return

integer: The Compare result, Smaller, Equal, or Larger.

Example

Object o
Object t
integer result = o:Compare(t) //1 (larger), 0 (equal), or -1 (smaller)

Converged()

Return

boolean

Equals(Libraries.Language.Object object)

This action determines if two objects are equal based on their hash code values.

Parameters

Return

boolean: True if the hash codes are equal and false if they are not equal.

Example

use Libraries.Language.Object
use Libraries.Language.Types.Text
Object o
Text t
boolean result = o:Equals(t)

GetCorrelationMatrix()

Return

Libraries.Compute.Matrix

GetEpsilon()

Return

number

GetHashCode()

This action gets the hash code for an object.

Return

integer: The integer hash code of the object.

Example

Object o
integer hash = o:GetHashCode()

GetIterations()

Return

integer

GetLoadings()

Return

Libraries.Compute.Statistics.DataFrame

GetMaximumIterations()

Return

integer

GetRotationMatrix()

Return

Libraries.Compute.Matrix

GetStructure()

Return

Libraries.Compute.Statistics.DataFrame

Normalize(boolean normalize)

Parameters

  • boolean normalize

Normalize()

Return

boolean

Rotate(Libraries.Compute.Statistics.DataFrame frame)

Parameters

Return

Libraries.Compute.Statistics.DataFrame

Rotate(Libraries.Compute.Statistics.Reporting.PrincipalComponentAnalysisResult result)

Parameters

Return

Libraries.Compute.Statistics.DataFrame

SetEpsilon(number epsilon)

Parameters

  • number epsilon

SetMaximumIterations(integer maxIterations)

Parameters

  • integer maxIterations