EBK STATISTICS FOR ENGINEERS AND SCIENT
4th Edition
ISBN: 9780100274389
Author: Navidi
Publisher: YUZU
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Textbook Question
Chapter 9.4, Problem 6E
The article “Sprinkler Technologies, Soil Infiltration, and Runoff” (D. DeBoer and S. Chu, Journal of Irrigation and Drainage Engineering. 2001:234–239) presents a study of the runoff depth (in mm) for various sprinkler types. Each of four sprinklers was tested on each of four days, with two replications per day (there were three replications on a few of the days: these are omitted). It is of interest to determine whether runoff depth varies with sprinkler type: variation from one day to another is not of interest. The data are presented in the following table.
- a. Identify the blocking factor and the treatment factor.
- b. Construct an ANOVA table. You may give
ranges for the P-values. - c. Are the assumptions of a randomized complete block design met? Explain.
- d. Can you conclude that there are differences in mean runoff depth between some pairs of sprinklers? Explain.
- e. Which pairs of sprinklers, if any, can you conclude, at the level, to have differing mean runoff depths?
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