Connections Between the Resolutions of General Two-level
Factorial Designs
ABSTRACT:
Regular resolution III^* designs are regular resolution III designs
in which no two-factor interactions are confounded with one another.
Draper and Lin found the connection between resolutions III^* and
V designs. Fontana, Pistone and Rogantin showed that a two-level
factorial design can be represented by an indicator polynomial function.
In this talk, some properties of indicator polynomial functions are
discussed. Using indicator polynomial functions, we study the connection
between designs of generalized resolutions. These generalize the results
of Draper and Lin.
About the Speaker
Po Yang is currently a Ph.D. student under the direction of Prof.
Balakrishnan. She got her Master degree in statistics at University of
Saskatchewan.
Her research interests concerns about the application of computational
commutative algebra in Statistics, especially, experimental designs.
References
Some key references are:
N. R. Draper and D. K. J. Lin (1990).
Connections Between Two-Level Designs of
Resolutions III^* and V. Technometrics, vol. 32, 283-288.
R. Fontana, G. Pistone and M. P. Rogantin (2000). Classification of Two-Level
Factorial Fractions. Journal of Statistical Planning
and Inference, vol.87, 149-172.
