TECHNICAL NOTES
Jul 1, 1997

Modified Critical Values for Spearman's Test of Serial Correlation

Publication: Journal of Hydrologic Engineering
Volume 2, Issue 3

Abstract

The Spearman correlation test that was developed for use with two random variables has been used incorrectly for analyzing univariate data for serial correlation. This occurs where measurements of the second random variable are incomplete. Data for assessing watershed change, such as for urbanization and deforestation, are commonly incomplete. Although the Spearman coefficient can be applied to detect serial correlation, the probability density function of the bivariate test statistic is not correct for univariate analyses of serial correlation. This research has produced critical values of the test statistic appropriate for use when the Spearman test is applied to serial correlation testing. These will enable more accurate evaluations of the effects of watershed change, as shown by the applications provided in this technical note.

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References

1.
Davis, J. C. (1973). Statistics and data analysis in geology. John Wiley & Sons, Inc., New York, N.Y.
2.
Hipel, K. W., and McLeod, A. I. (1994). Time series modelling of water resources and environmental systems. Elsevier Science Publishers BV (North-Holland), The Netherlands.
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McCuen, R. H. (1993). Microcomputer applications in statistical hydrology. Prentice-Hall, Inc., Englewood Cliffs, N.J.
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Pilon, P. J., and Harvey, K. D. (1992). Consolidated frequency analysis (CFA). Environment Canada, Ottawa, Canada.
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Smith, R. E., and Scott, D. F.(1992). “The effects of afforestation on low flows in various regions of South Africa.”Water SA, 18(3), 185–194.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 2Issue 3July 1997
Pages: 133 - 135

History

Published online: Jul 1, 1997
Published in print: Jul 1997

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Authors

Affiliations

Laura C. Conley
Analyst, Anderson Consulting, 1666 K St., NW, Washington, DC 20006-2873.
Richard H. McCuen, Member, ASCE
Prof., Dept. of Civ. Engrg., Univ. of Maryland, College Park, MD 20742-3021.

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