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Factorial Design Experiment Examples. Type- 1 The two A means averaged over all three levels of factor B Type- 2 The three B means averaged over both levels of factor A. 10 rows 2-Level 3-Variable Factorial Experiment Example Example of a 2 3 Factorial Experiment. Factorial Design of Experiments 5 Two factors with 2 level for each factor Complex Sys. The design of an experiment plays a major role in the eventual solution of the problem.
In both designs shown at the bottom. Type- 1 The two A means averaged over all three levels of factor B Type- 2 The three B means averaged over both levels of factor A. Suppose that we wish to improve the yield of a polishing operation. For example with three factors the factorial design requires only 8 runs in the form of a cube versus 16 for an OFAT experiment with equivalent power. Factorial Design of Experiments 5 Two factors with 2 level for each factor Complex Sys. In the fish farm example imagine adding another factor temperature with four levels into the mix.
In a factorial experimental design experimental trials or runs are performed at all combinations of the factor levels.
Namely Pressure factor X 1 Table speed factor X 2 and Down force factor X 3 each at a high and low setting on a production tool to determine which had the greatest effect on product uniformity. Type- 1 The two A means averaged over all three levels of factor B Type- 2 The three B means averaged over both levels of factor A. For example the run in a 24 with Aand Cat the high level and B and Dat the low level is denoted by ac. In triplicate this would be 192 tanks a huge undertaking. Example of a 2 3 Experiment Analysis matrix for the 3-factor complete factorial An engineering experiment called for running three factors. If the number of combinations in a full factorial design is too high to be logistically feasible a fractional factorial design may be done in which some of the possible combinations usually at least half are omitted.