Fractional Factorial

Materials plan 14 uncomplete factorial Recall: 2k factorial Experiment In an prove conducted by the Mining Engineering Department at the Virginia engineering school Institute and body politic University to study a particular filtering trunk of rules for scorch, a coagulator was added to a solution in a tank containing coal and sludge, which was then placed in a recirculation trunk in order that the coal could be washed. 3 factors were varied in the essayal process; 2 take aims of distributively factor was used. The totality of solids in the underflow of the somewhatsing system determines how clean the coal has become. Recall: 2k Factorial Experiment A: percent solids circulated ab initio in the floodlight/B: flow rate of the polymer/C: pH level in the tank. The following table summarizes the results: Response interference combine (1) Replicate 1 4.65 Replicate 2 5.81 a b ab c ac bc abc 21.42 12.66 18.27 7.93 13.18 6.51 18.23 21.35 12.56 16.62 7.88 12.87 6.26 17.83 Should a wide-eyed-2k founding always be implemented? One of the advantages of the enough endeavor is that it assigns a degree of freedom for each interference combination However, in that respect are situations where certain interactions are negligible, resulting in a looseness of experimental effort fractional Factorial Experiments a 2k design becomes demanding as k becomes super large number of factors being considered k 2 3 4 5 6 Treatment combinations 4 8 16 32 64 k 7 8 9 10 Treatment combinations 128 256 512 1024 Sparsity-of-Effects Principle States that a system is usually dominated by main effects and low-order interactions, then it is virtually likely that main (single factor) effects and two-factor interactions are the nigh significant responses Formally, Wu and Hamada explained this as the idea that only a a few(prenominal) effects in a factorial experiment back off up stakes be statistically significant Fractional Factorial Experiment Special c! ontingency of the factorial experiment wherein instead of the full factorial,...If you want to present a full essay, order it on our website: OrderCustomPaper.com

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