39 citations · 99 across the 18 of their papers we have counts for
5 papers · 1 filter
Use of indicator functions to enumerate cross-array designs without direct product structure
Satoshi Aoki, Masayuki Noro
Use of polynomial indicator functions to enumerate fractional factorial designs with given properties is first introduced by Fontana, Pistone and Rogantin (2000) for two-level fact…
Markov bases for two-way change-point models of ladder determinantal tables
Satoshi Aoki, Takayuki Hibi
To evaluate a fitting of a statistical model to given data, calculating a conditional value by a Markov chain Monte Carlo method is one of the effective approaches. For this pu…
Some optimal criteria of model-robustness for two-level non-regular fractional factorial designs
Satoshi Aoki
We present some optimal criteria to evaluate model-robustness of non-regular two-level fractional factorial designs. Our method is based on minimizing the sum of squares of all the…
Markov basis for design of experiments with three-level factors
Satoshi Aoki, Akimichi Takemura
We consider Markov basis arising from fractional factorial designs with three-level factors. Once we have a Markov basis, values for various conditional tests are estimated by…
Statistical testing procedure for the interaction effects of several controllable factors in two-valued input-output systems
Satoshi Aoki, Masami Miyakawa
Suppose several two-valued input-output systems are designed by setting the levels of several controllable factors. For this situation, Taguchi method has proposed to assign the co…