Critical Sets in \(F\)-squares

Rita SahaRay1, Ilene H.Morgan2
1Applied Statistics Division, Indian Statistical Institute, 203 B. T. Road, Kolkata-700 108, India.
2Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, USA

Abstract

In this paper we address the problem of construction of critical sets
in \(F\)-squares of the form \(F(2n; 2, 2,……… ,2)\). We point out that the
critical set in \(F(2n; 2,2, ……… ,2)\) obtained by Fitina, Seberry and
Sarvate \((1999)\) is not correct and prove that in the given context a
proper subset is a critical set.