Libraries.Compute.Statistics.Distributions.StudentizedRangeDistribution Documentation

This class is an implementation of the Studentized-Range-Distribution. It was partially adapted from the same model in FORTRAN More information can be found here: https://en.wikipedia.org/wiki/Studentized_range_distribution

Inherits from: Libraries.Language.Object, Libraries.Compute.Statistics.Distributions.NumberDistribution

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)

CumulativeDistribution(number q)

It is a Quorum implmentation of the Fortran code from Applied Statistics Evaluates the probability from 0 to q for a studentized range having v degrees of freedom and r samples. See Algorithm AS 190 - 1985 Edition http://bayanbox.ir/view/3820206914900746365/StatLab-Applied-Statistics-Algorithms.pdf

Parameters

  • number q

Return

number:

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)

GetDegreesOfFreedom()

This action is a Quorum implmentation of the Fortran code from Applied Statistics Approximates the quantile p for a studentized range distribution having v degrees of freedom and r samples for probability p. See Algorithm AS 190.1 - 1985 Edition http://bayanbox.ir/view/3820206914900746365/StatLab-Applied-Statistics-Algorithms.pdf ALSO See Secant Method https://en.wikipedia.org/wiki/Secant_method The result from this action is accurate to the 4th decimal place.

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()

GetLowerBound()

Return

number

GetMean()

Return

number

GetNumberOfMeans()

Compute integral

Return

number:

GetSolverAbsoluteAccuracy()

Return

number

GetSupportLowerBound()

Compute constants, local midpoint, adjust steps

Return

number:

GetSupportUpperBound()

It is a Quorum implmentation of the Fortran code from Applied Statistics Evaluates the probability from 0 to q for a studentized range having v degrees of freedom and r samples. See Algorithm AS 190 - 1985 Edition http://bayanbox.ir/view/3820206914900746365/StatLab-Applied-Statistics-Algorithms.pdf

Return

number:

GetUpperBound()

Return

number

GetVariance()

Return

number

InverseCumulativeDistribution(number p)

This action is a Quorum implmentation of the Fortran code from Applied Statistics Approximates the quantile p for a studentized range distribution having v degrees of freedom and r samples for probability p. See Algorithm AS 190.1 - 1985 Edition http://bayanbox.ir/view/3820206914900746365/StatLab-Applied-Statistics-Algorithms.pdf ALSO See Secant Method https://en.wikipedia.org/wiki/Secant_method The result from this action is accurate to the 4th decimal place.

Parameters

  • number p

Return

number:

InverseSurvival(number p)

This action is an implementation of the inverse survival function, as described by NIST/SEMATECH e-Handbook of Statistical Methods, http://www.itl.nist.gov/div898/handbook/, date. This action is equivalent to InverseCumulativeDistribution(1 - p) https://www.itl.nist.gov/div898/handbook/eda/section3/eda362.htm

Parameters

  • number p

Return

number: the result of the survival function

IsSupportConnected()

Return

boolean

IsSupportLowerBoundInclusive()

Return

boolean

IsSupportUpperBoundInclusive()

Return

boolean

Setup(number numberOfMeans, number degreesOfFreedom)

Parameters

  • number numberOfMeans
  • number degreesOfFreedom

Survival(number p)

This action is an implementation of the survival function, as described by NIST/SEMATECH e-Handbook of Statistical Methods, http://www.itl.nist.gov/div898/handbook/, date. This action is equivalent to CumulativeDistribution(1 - p) https://www.itl.nist.gov/div898/handbook/eda/section3/eda362.htm

Parameters

  • number p

Return

number: the result of the survival function