11. (24 points) For the following situations give the name of the design used to collect the data. Give a partial analys

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11 24 Points For The Following Situations Give The Name Of The Design Used To Collect The Data Give A Partial Analys 1 (698.74 KiB) Viewed 42 times

11. (24 points) For the following situations give the name of the design used to collect the data. Give a partial analysis of variance table indicating all sources of variability and their associated degrees of freedom. Design: CRD Source DF a. An experiment is performed to see whether different operators obtain different results in the routine analysis to determine the amount of nitrogen in soil. Since soils vary naturally in nitrogen content, 3 soil samples are chosen at random. Each soil sample is divided into (5) parts with one part being analyzed by each of the 5 operators. It is assumed operators can work with each soil so that soil and operator should not interact significantly. Operators Soil Error b. A mechanical engineer is studying the thrust force developed by a drill press. He suspects that drilling speed and the feed rate of the material are the most important factors. He selects 4 feed rates and 2 drill speeds. Each of the 8 combinations of feed rate and drill speed is replicated 3 times. All 24 runs are done in a completely random order. Expt. emer Sampling Total 4x2x3 c. Similar to the experiment in (b) the thrust force Design: Split plot сор Source block (feed rates) of drill presses is of interest. This time the engineer has 8 drill presses, chosen at random, to work with. Four of the drill presses are assigned at random to run at the high speed. The other four are run at the low speed. For each drill press, each of the 4 feed rates is run in a random order. wp emner Speed Speed drill Total 34 Design: Total RCBD 4 २ 14 with sampling DF Source Feed rates Drill emer SP Emer 3 1 3 23 DF 3 is 7 21 1 7 25 63 13 RCBD