A linear algebraic algorithm for reducing the support size of t-designs and to generate a basis for trades. (English) Zbl 0695.62203
Summary: A simple linear algebraic algorithm to generate a basis of the null space of a given integral matrix is utilized to present a computer algorithm, which in general, is used to reduce the support size of a given design as in a theorem of W. Foody and A. Hedayat [Ann. Stat. 5, 932- 945 (1977)], and in particular, it is used to produce a basis for trades. The computations based on this algorithm are of order of a polynomial function.
MSC:
| 62K99 | Design of statistical experiments |
| 65C99 | Probabilistic methods, stochastic differential equations |
| 62-04 | Software, source code, etc. for problems pertaining to statistics |
| 05B30 | Other designs, configurations |
