TECHNICAL PAPERS
Jul 1, 1985

Red Turn Arrow: An Information Theoretic Evaluation

Publication: Journal of Transportation Engineering
Volume 111, Issue 4

Abstract

An information‐theoretic statistical procedure for the analysis of categorical or qualitative variables or count data not necessarily arrayed in a multi‐way cross‐classification or contingency table is presented. This procedure can be used to provide a uniform approach to both statistical testing and estimation in various kinds of traffic studies. In particular, a statistical procedure is presented for analyzing counts of violations observed at various intersections during cycles of red left turn arrow or red ball signals. Data was collected at fifteen intersections of different types at different times of the day and located in different geographical locations.

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References

1.
Gokhale, D. V., “The Minimum Discrimination Information Analysis of Contingency Tables in Traffic Safety Studies,” Contingency Table Analysis for Road Safety Studies, Gerald A. Fleischer, ed., Sijthoff & Noordhoff, Nato Advanced Study Institutes Series, 1981.
2.
Gokhale, D. V., and Kullback, Solomon, The Information in Contingency Tables, Marcel Dekker Inc., New York, N.Y., 1978.
3.
Gokhale, D. V., and Kullback, Solomon, “The Minimum Discrimination Information Approach in Analyzing Categorical Data,” Communications in Statistics‐Theory and Methods, A7, 1978, pp. 987–1005.
4.
Keegel, John C., “Iterative Fitting Procedures for Minimum Discrimination Information Estimation in Contingency Table Analyses,” Contingency Table Analysis for Road Safety Studies, Gerald A. Fleischer, ed., Sijthoff & Noordhoff, Nato Advanced Study Institutes Series, 1981, pp. 107–117.
5.
Kullback, S., and Keegel, J. C., “Categorical Data Problems Using Information Theoretic Approach,” Handbook of Statistics, Vol. 4; Nonparameteric Methods, P. R. Krishnaiah and P. K. Sen, eds., North Holland Publishing Company, Amsterdam, The Netherlands, 1984.
6.
Noel, E. C., “Red Turn Arrow: Safety Analysis,” Journal of Transportation Engineering, Vol. 109, No. 3, May, 1983, pp. 440–449.
7.
Noel, E. C., Gerbig, J., and Lakew, M., “Evaluation of the Left Turn Red Arrow,” Final Report No. FHWA/RD‐82/051, Federal Highway Administration, U.S. Department of Transportation, Apr., 1982.

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Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 111Issue 4July 1985
Pages: 441 - 452

History

Published online: Jul 1, 1985
Published in print: Jul 1985

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Authors

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S. Kullback
Prof. Emeritus, Dept. of Statistics, The George Washington Univ., Washington, D.C. 20052
John C. Keegel
Assoc. Prof., Dept. of Mathematics, Univ. of the District of Columbia, Washington D.C. 20008

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