On Partially Balanced arrays

by Tena Ipsilantis Katsaounis .

Abstract: Partially Balanced arrays with N runs, m factors, two symbols, strength t greater than two and a given index are discussed as being Partially Balanced arrays with N runs, m factors, two symbols and of strength equal to two. Formulas for calculating the corresponding index, given any number of factors m, are presented. This method is useful in showing easily non-existence of a Partially Balanced array with N runs, m factors, two symbols, strength t greater than two and a given index. Construction of irregular factorial designs with two levels that belong to the class of Partially Balanced arrays is also discussed.

Key Words: Irregular Factorial Design, Partially Balanced array, Simple array

Author:
Tena Ipsilantis Katsaounis, pkatsaouni@aol.com

Editor: Ravi Khattree , khattree@oakland.edu

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