By R. Lyman Ott, Micheal T. Longnecker
Information is a inspiration technique. during this entire advent to statistical tools and information research, the method is gifted using a four-step process: 1) accumulating facts, 2) summarizing facts, three) reading information, and four) speaking the result of facts analyses.
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Extra resources for An Introduction to Statistical Methods and Data Analysis
All extraneous factors that may affect the tires are nearly the same for all four brands. Thus, the testing agency feels confident that if there is a difference in wear characteristics between the brands at the end of the study, then this is truly a difference in the four brands and not a difference due to the manner in which the study was conducted. The testing agency is interested in recording other factors, such as the cost of the tires, the length of warranty offered by the manufacturer, whether the tires go out of balance during the study, and the evenness of wear across the width of the tires.
Thus, this type of experimentation may produce incorrect results whenever the effect of one factor on the response does not remain the same at all levels of the second factor. In this situation, the factors are said to interact. 2 depicts the interaction between nitrogen and phosphorus in the production of corn. Note that as the amount of nitrogen is increased from 40 to 60 there is an increase in the yield when using the 10 level of phosphorus. At the 20 level of phosphorus, increasing the amount of nitrogen also produces an increase in yield but with smaller increments.
Each has certain advantages and disadvantages. We expand our discussion of experimental designs in Chapters 34 Chapter 2 Using Surveys and Scientific Studies to Gather Data 14–19, where we concentrate on the analysis of data generated from these designs. In those situations that require more complex designs, a professional statistician needs to be consulted to obtain the most appropriate design for the survey or experimental setting. 6. In this situation, there is no interaction. Show that the one-at-a-time approach would result in the experimenter finding the best combination of nitrogen and phosphorus—that is, the combination producing maximum yield.