Experimental designs are used to get maximum information with minimum expenditure in minimum possible time and evaluating outcomes critically by avoiding systematic errors and ignoring spurious effects. Design and analysis of experiments playing an important role in process and product realization activities consist of new product design, formulation, manufacturing process, and process improvement. They are also playing a key role in real time for optimal experimentation to reduce the experimental cost, time, and complexity significantly and easy to analyze. In most practical situations, it is observed that out of a large number of potential factors relatively few factors are actually effective. The experimenter has to identify the most important factors and active factors in an efficient way, for efficient utilization of resources and minimize cost and time, by minimizing the experimental runs. In this study, a novel sequence of saturated designs is given utilizing Balanced Incomplete Block Design and a combinatorial layout of the incidence matrix. The approach was shown using an appropriate example.

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Construction of Saturated Design Using BIBD

  • Vaasanthi Alugolu,
  • Vaishnavi Nampally,
  • N. Ch. Bhatra Charyulu

摘要

Experimental designs are used to get maximum information with minimum expenditure in minimum possible time and evaluating outcomes critically by avoiding systematic errors and ignoring spurious effects. Design and analysis of experiments playing an important role in process and product realization activities consist of new product design, formulation, manufacturing process, and process improvement. They are also playing a key role in real time for optimal experimentation to reduce the experimental cost, time, and complexity significantly and easy to analyze. In most practical situations, it is observed that out of a large number of potential factors relatively few factors are actually effective. The experimenter has to identify the most important factors and active factors in an efficient way, for efficient utilization of resources and minimize cost and time, by minimizing the experimental runs. In this study, a novel sequence of saturated designs is given utilizing Balanced Incomplete Block Design and a combinatorial layout of the incidence matrix. The approach was shown using an appropriate example.