On Partially Balanced arrays
by Tena Ipsilantis Katsaounis
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.
Irregular Factorial Design, Partially Balanced array, Simple array
Tena Ipsilantis Katsaounis,
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