NESTED BALANCED TERNARY DESIGNS AND THEIR PB ARRAYS
Keywords:
Nested Balanced Ternary Design, Partially Balanced (PB) Arrays, Tactical Configurations, Balanced Incomplete Block (BIB) Design, Doubly Balanced Incomplete Block (DBIB) Design, Strength.Abstract
This paper is concerned with the generalization of the parameters of nested balanced ternary designs (NBTD) through tactical configurations. A four symbol PB arrays of varying strength 2m or (2m+1) has been constructed. In view of this, an example of PB arrays in four symbols of strength three has been included. Two orthogonal arrays (OA) (9, 3, 3, 2) of index unity and (18, 4, 3, 2) of index 2 has been developed through NBTD. The new designs that can be obtained through the PB arrays have also been included which are useful for intercropping experiments in relation to practical situations. One actual example of intercropping experiments with six intercrops has been added.
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