A NOTE ON SPEED/FLOW/CONCENTRATION RELATIONS

The author examines the use of speed/flow and speed/concentration plots. Often the speed/flow data show a large amount of scatter and the corresponding speed/concentration plots show a marked tendency to which a downward straight line may be fitted. This straight line can be reconverted to a parabola on the speed/flow diagram, establishing a significant relationship between the two variables which are totally uncorrelated giving a false measure of capacity. Normally distributed random values of speed are used to illustrate the abuse of the relation. A further danger in the transformation process is that several rectangular hyperbola give an equally good fit to the speed/concentration data as the straight line; it is shown that these produce significant changes in the shape of the reconstructed parabola on the speed/flow diagram. The shape and statistical significance of a speed/flow relation should not be inferred from a speed/concentration relation unless the latter is very clearly defined over a range of values. /TRRL/

  • Availability:
  • Corporate Authors:

    Printerhall Limited

    29 Newmart Street
    London W1P 3PE,   England 
  • Authors:
    • Duncan, N C
  • Publication Date: 1976-1

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Filing Info

  • Accession Number: 00139002
  • Record Type: Publication
  • Source Agency: Transport and Road Research Laboratory (TRRL)
  • Files: ITRD, TRIS
  • Created Date: Nov 17 1976 12:00AM