Engineering Commons^™

A General Intuitive Design Pattern For Optimally Sequencing Treatment Combinations In 2k Factorial Experiment And A Simple Estimation Algorithm, H.-S. Jacob Tsao, Minnie Patel

Faculty Publications

The number of model parameters of a 2k factorial design grows exponentially. When the number of factors is large, numerous higher-order interactions constitute a vast majority of the model parameters while many of them do not exist or are insignificant. The classic methods of fractional factorial designs, Plackett–Burman designs, Taguchi designs, etc. seek an already developed and often cataloged design that fits exactly the problem being tackled or select a design that fits it the most. Most, if not all, of these designs were developed in absence of convenient computation tools and enjoy computational simplicity. The necessary number of treatment …