| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2021: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Outline of Final Research Achievements |
The aim of this research is to formulate problems related to the theory of experimental design for several multi-level factors using computational algebraic techniques and obtain new results. The most important result during this research period is the establishment of a methodology for characterizing fractional factorial designs as zeros of polynomial ideals. Based on this result, for several problems that are considered important in applications, new results were obtained by defining ideals of polynomial rings corresponding to fractional factorial designs with given characteristics, enumerating their zeros using computational algebraic techniques, and further classifying them into equivalence classes.
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