Matrices of Irregular Factorial Designs

>by Tena Ipsilantis Katsaounis .

Abstract: >A new method is presented for calculating the elements of T?T, of an array T in two symbols. The concept of marginal index is introduced. It is proved that the elements of T'T can be written in terms of marginal indices. A theorem is presented for the case of Partially Balanced array and its generalization for PB1 and Extended PB1 arrays. This method is useful in calculating the information matrix or parts of the information matrix of irregular factorial designs with two level factors.

Key Words: Design of Experiments, Factorial Design, Partially Balanced Array, PB1 Array, EPB1 Array, Information matrix

Author:
Tena Ipsilantis Katsaounis , pkatsaouni@aol.com

Editor: Richard Graf , rgraf@sunstroke.sdsu.edu

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