Modeling Hydrologic Change: Statistical Methods - Chapter 11 pps

... population prob- ability P p to assess the true bias and accuracy. 11. 6 PROBLEMS 1 1-1 Identify a system and its components for each of the following: a. A 200-square-mile watershed. b. A 1-acre residential ... lot. c. Groundwater aquifer. d. A 2-mile-long section of a river. 1 1-2 Justify the use of the word model to describe the peak-discharge rational method, q p = CiA. 1 1-3 Des...

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... cross- correlogram. Distinct differences exist between auto- and cross-correlation. First, while the autocorrelation coefficient for lag-0 must be 1, the cross-correlation coef- ficient for lag-0 ... variable. The lag-2 correlation, while less than the lag-1 correlation, is also significant. The closeness of the lag-2 correlation to the lag-1 correlation and the gradual decrease of the lag-3, la...

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... 145-acre watershed. Compute the correlation coef - cient and graph the data. Interpret the results from statistical and hydro- logic standpoints. 6-1 1 The following time series represents the annual ... in the time series of T. (d) Compute the lag-0 cross-correlation coefficient between T and P, and interpret the result. 6-1 3 Discuss the use of moving-average filtering on the crite...

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... 0 11 .048 .028 . 011 .005 .097 .056 .021 . 011 max [d 7 , 1/2(d 4 + d 11 )] < 0 max [d 7 , 1/2(d 5 + d 11 )] < 0 max [1/2(d 6 + d 11 ), 1/2(d 8 + d 9 )] < 0 max [d 9 , 1/2(d 7 + d 11 )] ... to decide if the two methods of measuring infiltra- tion in Problem 8-1 4 give dissimilar estimates. 8-1 9 The standard deviation of 58 annual maximum discharges for the Pis...

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... 1941 Modeling hydrologic change: statistical methods / Richard H. McCuen. p. cm. Includes bibliographical references and index. ISBN 1-5 667 0-6 0 0-9 1. Hydrologic models. 2. Hydrologic Statistical methods. ... Problems Chapter 11 Hydrologic Simulation 11. 1 Introduction 11. 1.1 Definitions 11. 1.2 Benefits of Simulation 11. 1.3 Monte Carlo Simulation 11. 1.4...

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... upper, one-tailed lower, and two-tailed hypotheses related to the hydrologic effects of afforestation. 3-1 2 Develop one-tailed upper, one-tailed lower, and two-tailed hypotheses related to hydrologic ... exact. 3.5 PROBLEMS 3-1 What are the characteristics of a null hypothesis and an alternative hypoth- esis? 3-2 Why is it necessary to state the null hypothesis as a finding o...

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... the base-10 logarithms of 0.36 and 0.15, respectively, find the 1 0-, 5 0-, and 100-year magnitudes assum- ing a lognormal distribution. 5-1 7 Given a mean and standard deviation of the base-10 logarithms ... 14600 4.164353 7 0 .118 6 13700 4.136721 8 0.1356 13500 4.130334 9 0.1525 13300 4.123852 10 0.1695 13200 4.120574 11 0.1864 12900 4 .110 590 12 0.2034 116 00 4.064458 13 0.2203...

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... of Problem 7-7 for the alternative hypoth- esis of an increasing trend. 7-1 4 Apply Kendall’s test to the data of Problem 7-8 for the alternative hypoth- esis of an increasing trend. 7-1 5 The following ... Problem 7-3 . 7-2 7 Using the data of Problem 7-1 9, test the significance of the Spearman correlation coefficient between the degree-day factor D and the discharge Q. 7-2...

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... from more than two distributions, referred to as k -sample tests. 9.2 CHI-SQUARE GOODNESS-OF-FIT TEST The chi-square goodness-of-fit test is used to test for a significant difference between the ... incorrect. The computed value of chi-square for the equal-probability delineation of cell bounds is smaller than for the equal-cell-width method. This occurs because the equal-cell-width met...

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... 10 9 11 21 8 10 9 11 22 9 11 9 11 23 9 11 10 11 24 9 11 10 12 25 9 11 10 12 26 9 11 10 12 27 9 12 10 12 28 10 12 11 13 29 10 12 11 13 30 10 12 11 13 35 11 13 12 40 11 14 13 L1600_Frame_App-A.fm2nd ... 0.0853 12 13 10 0 .112 6 12 16 11 0.1020 12 19 10 0.0223 11 19 12 0.1644 12 13 11 0.2068 12 16 12 0.1933 12 19 11 0.0524 11 19 13 0.2830 12 14 5 0.0002 12 1...

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