# Journal of Statistical Theory and Practice

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 190-203

*3*

^{m}factorial design for the second-order model derived from a simple array (SA), where m ≥

*4*. In this article, we give a necessary and sufficient condition for an SA to be a balanced second-order design for

*3*

^{m}factorials. Such a design is characterized by the suffixes of the index of an SA.

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 220-238

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 204-219

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 129-138

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 97-128

*A*-reversibility, where

*A*is the underlying Abelian group. In particular, when

*A*is a 2-group of exponent at most 4, it is shown that an

*A*-reversible SQS always exists. When the Sylow 2-subgroup...

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 147-161

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 139-146

*m*by

*n*array consists of mn cells in

*m*rows and

*n*columns, where 2 <

*m*<

*n*. A partial transversal in an

*m*by

*n*array is a set of

*m*cells, one from each row and no two from the same column. A transversal in an

*m*by

*n*array is a partial transversal in which

*m*symbols are distinct. Define L(

*m, n*) as the largest integer such that if each symbol in an

*m*by

*n*array appears at most L(

*m, n*) times,...

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 78-87

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 69-77

*k, d*)-arc

*N*in a projective plane

*PG(2, q)*of order q is a set of

*k*distinct points such that any line in the plane meets

*N*in at most

*d*points. In this article, we consider a family of (

*k, d*)-arcs for several positive integers

*k*, each pair of which has at most

*m*points in common. Such a family is used to obtain a variable-weight optical orthogonal code, which is used to multimedia optical code...

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 169-177

*E*(χ

^{2}) criterion. The literature reports on SSDs have concentrated mainly on balanced designs. For

*s*-level SSDs, the restriction of the number of runs

*N*being only a multiple of

*s*is really...

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 88-86

*p2, p, p2, p*)-Difference Sets in Z

^{3}

_{p}. Several classes of such difference sets are known. We classify these classes into two typical types and characterize them.

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 178-189

*Uniformly Balanced Designs Balanced for Loss*, is examined.

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 162-168

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 3-19

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 48-68

*t*-wise quasi-difference matrices are presented. Based on these results, many new series of optimal and asymptotically optimal optical orthogonal codes are obtained.

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 30-47

Journal of Statistical Theory and Practice > 2012 > 6 > 1 > 20-29

*t*-way component interactions and locate interaction faults in component-based systems. However, constructions of optimal locating arrays have not been studied systematically. Indeed, no useful lower bound has previously been determined, and only some sporadic examples of optimal locating arrays have been found. When a...

Journal of Statistical Theory and Practice > 2012 > 6 > 2 > 354-362

Journal of Statistical Theory and Practice > 2012 > 6 > 2 > 251-259