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The Terpstra-Jonckheere test for ordered alternatives: randomized probability values.

P W Mielke¹, K J Berry

¹Department of Statistics, Colorado State University, Fort Collins 80523-1877, USA. mielke@lamar.colostate.edu

Perceptual and Motor Skills

|November 7, 2000

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A new algorithm and FORTRAN program calculate the Terpstra-Jonckheere test statistic and its probability value using randomization methods. This provides a computational tool for statistical analysis.

Area of Science:

Statistics
Computational Statistics

Background:

The Terpstra-Jonckheere test is a non-parametric test used for ordered alternatives.
Calculating the exact probability value can be computationally intensive.

Purpose of the Study:

To present an algorithm and FORTRAN program for computing the Terpstra-Jonckheere test statistic.
To provide an accurate method for determining the associated probability value using randomization.

Main Methods:

Development of a novel algorithm for the Terpstra-Jonckheere test.
Implementation of the algorithm in a FORTRAN program.
Utilizing a randomization routine to derive the probability distribution.

Main Results:

The presented algorithm and program accurately compute the Terpstra-Jonckheere test statistic.

Related Experiment Videos

The randomization routine effectively determines the associated probability values.

Conclusions:

The developed FORTRAN program offers a reliable computational tool for the Terpstra-Jonckheere test.
This approach facilitates non-parametric statistical analysis with ordered alternatives.