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Spence I. A Simple Approximation For Random Rankings Stress Values. Multivariate Behav Res. 1979;14(3):355-65doi: 10.1207/s15327906mbr1403_5.
Spence, I. (1979). A Simple Approximation For Random Rankings Stress Values. Multivariate behavioral research, 14(3), 355-65. https://doi.org/10.1207/s15327906mbr1403_5
Spence, I. "A Simple Approximation For Random Rankings Stress Values." Multivariate behavioral research vol. 14,3 (1979): 355-65. doi: https://doi.org/10.1207/s15327906mbr1403_5
Spence I. A Simple Approximation For Random Rankings Stress Values. Multivariate Behav Res. 1979 Jul 01;14(3):355-65. doi: 10.1207/s15327906mbr1403_5. PMID: 26821855.
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Multivariate Behav Res. 1979 Jul 01;14(3):355-65. doi: 10.1207/s15327906mbr1403_5.

A Simple Approximation For Random Rankings Stress Values.

Multivariate behavioral research

I Spence

PMID: 26821855 DOI: 10.1207/s15327906mbr1403_5

Abstract

Potentially more convenient than either a table or a graph of random rankings stress values is a simple analytic expression which takes as arguments N, the number of points, and D, the number of dimensions and then yields the expected stress value. Such a function is developed here, and it is shown that the error of the approximation is of the same magnitude as the standard error of the means of the original Monte Carlo data. The approximation is highly accurate for 10 < N < 60 and 1 < D < 5. The present paper represents an extension of Spence and Ogilvie (1973).

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