ANALYTICAL PROBLEMS ENCOUNTERED IN THE CORRELATION OF SUBJECTIVE RESPONSE AND PAVEMENT POWER SPECTRAL DENSITY FUNCTIONS
IT IS ARGUED AND DEMONSTRATED THAT, WHEN HUMAN SUBJECTIVE RESPONSE TO ROAD ROUGHNESS IS FUNCTIONALLY RELATED THROUGH MULTIPLE REGRESSION TO POWER SPECTRAL DENSITY FREQUENCIES OF THE ROAD PROFILE, HIGHLY UNRELIABLE ESTIMATES OF FREQUENCY COEFFICIENTS RESULT. HENCE, ONE WILL BE MISLED IN ASSUMING THAT SUCH ROADS ARE ESPECIALLY DETRIMENTAL TO RIDE. THE PROBLEM, GENERALLY DESIGNATED "MULTICOLLINEARITY" IS CAUSED BY EXTREMELY HIGH INTERCORRELATION OF MANY OF THESE FREQUENCIES. THIS FOLLOWS FROM THE MATHEMATICAL TREATMENT REQUIRED IN POWER SPECTRAL DENSITY ANALYSIS AS WELL AS FROM THE INHERENT NATURE OF ROAD PROFILES. NOR IS THE SITUATION ANY BETTER IF FREQUENCY SELECTION PROCEDURES SUCH AS STEPWISE MULTIPLE REGRESSION ARE USED IN AN ATTEMPT TO CAPTURE ONLY THE MOST IMPORTANT FREQUENCIES. THE PRESENCE OF HIGH MULTICOLLINEARITY BETWEEN FREQUENCIES MAKES TRIVIAL THE STATISTICAL SELECTION AND REJECTION CRITERIA AND THEREBY ALLOWS SAMPLING ERROR TO ESSENTIALLY DETERMINE WHICH FREQUENCIES ARE SELECTED. A PROPOSED SOLUTION TO THIS PROBLEM IS TAKEN FROM THE ECONOMETRICS LITERATURE AND APPLIED TO A SMALL SAMPLE OF SUBJECTIVE RIDE DATA FOR ILLUSTRATIVE PURPOSES ONLY. THE CONVENTIONAL FULL MULTIPLE REGRESSION ESTIMATES OF FREQUENCY COEFFICIENTS GIVE TOTALLY UNREASONABLE RESULTS, AND THE PROPOSED SOLUTION GIVES RESULTS CONSISTENT WITH KNOWN AUTOMOBILE PASS-BAND CHARACTERISTICS.
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/isbn/0309022568
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Supplemental Notes:
- Publication of this paper sponsored by Committee on Surface Properties Vehicle Interaction. Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the Transportation Research Board of the National Academy of Sciences. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved.
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Authors:
- Holbrook, L F
- Darlington, J R
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Conference:
- 52nd Annual Meeting of the Highway Research Board
- Location: Washington District of Columbia, United States
- Date: 1973-1-22 to 1973-1-26
- Publication Date: 1973
Media Info
- Media Type: Print
- Features: Figures; References;
- Pagination: pp 83-90
- Monograph Title: Evaluation of pavement surface properties and vehicle interaction
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Serial:
- Highway Research Record
- Issue Number: 471
- Publisher: Highway Research Board
Subject/Index Terms
- TRT Terms: Multiple regression analysis; Pavements; Power spectra; Roads; Roughness; Smoothness
- Uncontrolled Terms: Road profile; Subjective analysis
- Old TRIS Terms: Multiple regression; Pavement smoothness
- Subject Areas: Highways; Pavements;
Filing Info
- Accession Number: 00207642
- Record Type: Publication
- ISBN: 0309022568
- Files: TRIS, TRB
- Created Date: Apr 27 1974 12:00AM