Abstract
Compliance with criteria limiting the discharge of pollutants or standards of water quality in the reveiving water body are assessed by monitoring. In order to set limits or standards, the features of the discharge or the water body to be monitored must be characterized. This generally involves the fitting of a probability distribution to historical data or data from preliminary sampling and the choice of a statistic for the limit or standard. Monitoring data collected to assess compliance are assumed to follow data will help to ensure that the assumption is met. Statistical methods which either assume a distribution for the quality variable or involve a transformation to a binary variable are compared. The validity of the underlying assumptions in the application of the methods to water or effluent quality data is discussed.
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References
Adams, B. J. and Gemmell, R. S.: 1973, ‘Performance of Regionally Related Wastewater Treatment Plants’, J. Water Poll. Control Fed. 45, 2088–2103.
Aitchison, J. and Brown, J. A. C.: 1981, The Lognormal Distribution, Cambridge University Press, Cambridge, 176 pp.
Berthouex, P. M. and Hunter, W. G.: 1975, ‘Treatment Plant Monitoring Programs: A Preliminary Analysis’, J. Water Poll. Control Fed. 47, 2143–2156.
Berthouex, P. M., Hunter, W. G. and Pallesen, L.: 1981, ‘Wastewater Treatment: A Review of Statistical Applications’, Environmetrics 81: Selected Papers, SIAM, Philadelphia, pp. 77–99.
Brownlee, K. A.: 1965, Statistical Theory and Methodology, Wiley, New York, 560 pp.
Crabtree, R. W., Cluckie, I. D. and Forster, C. F.: 1987, ‘Percentile Estimation for Water Quality Data’, Wat. Res. 21, 583–590.
Davis, C. B. and McNichols, R. J.: 1987, ‘One-Sided Intervals for at Least p of m Observations from a Normal Population on Each of r Future Occasions’, Technometrics 29, 359–370.
Ellis, J. C.: 1985, Determination of Pollutants in Effluents, Environment TR 230, Water Research Centre, Marlow, UK, 46 pp.
El-Shaarawi, A. H., Esterby, S. R. and Kuntz, K. W.: 1983, ‘A Statistical Evaluation of Trends in the Water Quality of the Niagara River’, J. Great Lakes Res. 9, 234–240.
El-Shaarawi, A. H., Esterby, S. R., Warry, N. D. and Kuntz, K. W.: 1985, ‘Evidence of Contaminant Loading to Lake Ontario from the Niagara River’, Can. J. Fish. Aquat. Sci. 42, 1278–1289.
Esterby, S. R.: 1982, ‘Fitting Probability Distributions to Bacteriological Data: Considerations for Regulations and Guidelines’, Journal Francais d'Hydrologie 13, 189–203.
Esterby, S. R. and El-Shaarawi, A. H.: 1984, ‘Coliform Concentrations in Lake Erie—1966 to 1970’, Hydrobiologia 111, 133–146.
Freund, J. E. and Perles, B. M.: 1987, ‘A New Look at Quartiles of Ungrouped Data’, The American Statistican 41, 200–202.
Mandel, J.: 1967, The Statistical Analysis of Experimental Data, Interscience Publishers, Wiley, New York, 410 pp.
Pearson, E. S. and Hartley, H. O.: 1976, Biometrika Tables for Statisticians, Vol. 2, Charles Griffin and Company Ltd., Buckinghamshire, 385 pp.
Snedecor, G. W. and Cochran, W. G.: 1980, Statistical Methods, The Iowa State University Press, Ames, Iowa, 507 pp, p. 140.
Warn, A. E. and Matthews, P. J.: 1984, ‘Calculation of Compliance of Discharges with Emission Standards’, Wat. Sci. Tech. 16, 183–196.
van Belle, G. and Hughes, J. P.: 1984, ‘Nonparametric Tests for Trend in Water Quality’, Water Resour. Res. 20, 127–136.
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Esterby, S.R. Some statistical considerations in the assessment of compliance. Environ Monit Assess 13, 103–112 (1989). https://doi.org/10.1007/BF00394224
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DOI: https://doi.org/10.1007/BF00394224