Abstract
For the experiments for 6 controllable factors and 3 noise factors, each with 2 levels, use of 32 runs cross-array designs with direct product structure is widespread. In this paper, we relax this direct product structure and show 24 runs cross-array design without direct product structure. This design is obtained by numerical algebraic computation in previous work. In this paper, we characterize the structure of the design, show the strategies of modeling, and illustrate how to construct ANOVA tables by examples.