Two-FactorDesigns(cont.)•Forexample,aresearcherstudyingtheeffectsofheatandhumidityonperformancecouldusethefollowingexperimentaldesign:B1 B2 B3 80-Degreeroom90-Degreeroom100-Degreeroom A1 LowHumidity Sample1 Sample2 Sample3 A2 HighHumidity Sample4 Sample5 Sample6 4 Two-FactorDesigns(cont.)•Noticethat...
Example 1 A 2IV9−4:21 Design with the Maximum Number of Clear 2fi’s In Step 1 of Algorithm 1, the maximum resolution of a 29−4 design is IV, and we list all nonisomorphic 2IV9−4 designs with at least one clear 2fi. They are D1={1,2,3,4,5,123,124,134,2345},...
Design matrixOrthogonal estimatesMain effectTwo-factor interactionsIn this paper we consider the problem of constructing two-level fractional factorial designs in blocks of size two that allow for the orthogonal estimation of all main effects and two-factor interactions (after adjusting for blocks). ...
Two-phase experiments are widely used in many areas of science (e.g., agriculture, industrial engineering, food processing, etc.). For example, consider a
For example, when m =5, the two new plans given in this paper have 9 runs, which is a significant improvement over an orthogonal main effect plan with 18 runs in terms of the number of runs and an improvement over a main effect plan with at least 11 runs. We compare these designs,...