Morel-Seytoux, Hubert J., authorEnvironmental Resources Center, Colorado State University, publisher2020-04-172020-04-171972-12https://hdl.handle.net/10217/204910CER72-73HJM7.December 1972.Includes bibliographical references (pages 14-15).Completion report, OWRR project no. A-011-Colorado, period July 1, 1969-June 30, 1972, submitted to Office of Water Resources Research, U. S. Department of Interior.The work upon which this report is based was supported in part by funds provided by the U.S. Department of Interior, Office of Water Resources Research, as authorized under the Water Resources Research Act of 1964; and pursuant to Grant Agreement Nos. 14-31-0001-3006, 14-31-0001-3206, and 14-31-0001-3506.Circulating copy deaccessioned 2020.In an age of increasing interference of man in nature it is important to detect rapidly the effects of purposeful management in a given sector as well as the inadvertent effects in a different sector. Due to the variability of nature and man's incomplete knowledge of its state it is difficult to assess whether an apparent change is the result of nature's caprice or of man's deliberate action. To answer this delicate question classical statistical tests have been utilized by the scientists and technicians. Often the physical variables have been reduced to mere statistical variables. While the statistical information about the variable has been somewhat utilized the physical information about it has often been neglected. As a result the tests used were far from being optimal. Detection tests which utilize both the physical and statistical information can be designed and they will have a superior power to the standard tests. The test variable to be used is a linear combination of several physical and random variables with weight factors determined by a minimization procedure. The minimization is restricted by several equality constraints of a physical origin. The test has proven to be more powerful than the classical (unconstrained) simpler tests. When applied to the Colorado River Basin Pilot Project area the power of the test, expressed in years needed for detection, is increased by a factor of two.technical reportsengCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.Hydrology -- Statistical methodsRunoff -- Mathematical modelsText