A researcher seeks funding for a study from a federal agency. The study will involve the evaluation of three factors, each having two levels. From the literature, the researcher approximates the standard deviation in the responses to be approximately 9 units. How many experimental units should be included in the budget for the study so that a difference of 20 units or more in any pair of treatment means will be detected with a probability of .80 using an α = .05 test?
Answer to relevant QuestionsRefer to the study described in Exercise 14.8. Determine the number of replications needed to obtain an α = .05 test having power of at least 80% that detects a difference of 10 in any pair of treatment means. Use the data ...Suppose we have a completely randomized three- factor factorial experiment with levels 3 × 4 × 6, with three replications of each of the 72 treatments. Assume that the three- way inter-action is not significant. a. Write a ...A physician was interested in examining the relationship between the work performed by individuals in an exercise tolerance test and the excess weight (as determined by standard weight– height tables) they carried. To do ...A horticulturalist at a large research institution designs a study to evaluate the effect on tomato yields of water loss due to transpiration. She decides to examine four levels of shading of the tomato plants at three ...A large advertising firm specializes in creating television commercials for children’s products. The firm wants to design a study to investigate factors that may affect the lengths of time a commercial is able to hold a ...
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