Abstract
Intervention analysis is a relatively new branch of time series analysis. The power of this technique, which gives the probability that changes in mean level can be distinguished from natural data variability, is quite sensitive to the way the data are collected. The principal independent variables influenced by the data collection design are overall sample size, sampling frequency, and the relative length of record before the occurrence of the event (intervention) that is postulated to have caused a change in mean process level.
For three of the four models investigated, data should be collected so that the post-intervention record is substantially longer than the pre-intervention record. This is in conflict with the intuitive approach, which would be to collect equal amounts of data before and after the intervention. The threshold (minimum) level of change that can be detected is quite high unless sample sizes of at least 50 and preferably 100 are available; this minimum level is dependent on the complexity of the model required to describe the response of the process mean to the intervention. More complex models tend to require larger sample sizes for the same threshold detectable change level.
Uniformity of sampling frequency is a key consideration. Environmental data collection programs have not historically been oriented toward data analysis using time series techniques, thus eliminating a potentially powerful tool from use in many environmental assessment applications.
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Literature cited
Box, G. E. P. 1974. Statistics and the environment, J. Wash. Acad. Sci. 64(2):52–59.
Box, G. E. P., and D. R. Cox. 1964. An analysis of transformations. Journal of the Royal Statistical Society (Series B), pp. 211–252.
Box, G. E. P., and G. C. Tiao. 1975. Intervention analysis with applications to economic and environmental problems. Journal of the American Statistical Association 70(349):70–79.
Box, G. E. P., and G. M. Jenkins. 1970. Time series analysis forecasting and control. Holden-Day, San Francisco. 553 pp.
Breiman, L. 1973. Statistics with a view toward applications. Houghton Mifflin, Boston. 399 pp.
Hipel, K. W., W. C. Lennox, T. E. Unny, and A. I. McLeod. 1975. Intervention analysis in water resources. Water Resources Research 11(6):855–861.
Hipel, K. W., D. P. Lettenmaier and A. I. McLeod. 1978. Assessment of environmental impacts, part one, intervention analysis. Environmental Management 2(6):529–535.
Lettenmaier, D. P. 1976. Detection of trends in water quality data from records with dependent information. Water Resources Research 12(5):1037–1046.
Lettenmaier, D. P., and L. C. Murray. 1977. Design of nonradiological aquatic sampling programs for nuclear power plant impact assessment using intervention analysis. Technical Report UW-NRC-6, Center for Quantitative Science, University of Washington, Seattle. 101 pp.
McCaughran, D. A. 1977. Factors affecting the quality of inferences made from data concerning the impact of nuclear power plants on the aquatic environment, Technical Report UW-NRC-7, Center for Quantitative Science, University of Washington, Seattle. 82 pp.
McLeod, A. I. 1977. Improved Box-Jenkins estimators. Biometrika 64(3):531–534.
Murray, L. C. 1977. Intervention tests in time series data. Ph.D. thesis. Center for Quantitative Science, University of Washington, Seattle. 105 pp.
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Lettenmaier, D.P., Hipel, K.W. & McLeod, A.I. Assessment of environmental impacts part two: Data collection. Environmental Management 2, 537–554 (1978). https://doi.org/10.1007/BF01866712
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DOI: https://doi.org/10.1007/BF01866712