A New Technique For Constructing Pairwise Balanced Designs From Groups
نویسندگان
چکیده
We introduce a new technique for constructing pairwise balanced designs and group divisible designs from finite groups. These constructed designs do not give designs with new parameters but our construction gives rise to designs having a transitive automorphism group that also preserves the resolution classes.
منابع مشابه
More balanced incomplete block designs from frobenius groups
Techniques and results of constructing balanced incomplete block designs from a Frobenius group were summarized in [2]. These techniques and results grew out of observing that the sets Na + b of a planar near-ring (N, +, .) usually have a geometric interpretation. This observation was first illustrated in [1]. In this same work, one notices that sometimes the sets N{a,-a} + b also have geometri...
متن کاملResolvable partially pairwise balanced designs and their applications in computer experiments ∗
The uniform design is one of major designs in computer experiments. In this paper, we develop the connection among the computer experiments, uniform designs in statistics and resolvable partially pairwise balanced designs (RPPBDs) from design theory. A series of RPPBDs with special requirements are constructed and used to produce new uniform designs under the discrete discrepancy.
متن کاملAn asymptotic existence result on compressed sensing matrices
For any rational number h and all sufficiently large n we give a deterministic construction for an n× bhnc compressed sensing matrix with (`1, t)-recoverability where t = O( √ n). Our method uses pairwise balanced designs and complex Hadamard matrices in the construction of -equiangular frames, which we introduce as a generalisation of equiangular tight frames. The method is general and produce...
متن کاملSimultaneous confidence intervals for pairwise multiple comparisons in a two-way unbalanced design.
Turkey's (1953, The Problem of Multiple Comparisons, unpublished report, Princeton University) procedure is widely used for pairwise multiple comparisons in one-way ANOVA. It provides exact simultaneous pairwise confidence intervals (SPCI) for balanced designs and conservative SPCI for unbalanced designs. In this paper, we will extend Turkey's procedure to two-way unbalanced designs. Both the e...
متن کاملOn the construction of complete and partial nearest neighbour balanced designs
In this paper, methods for constructing two dimensional nearest neighbour balanced (NNB) designs are considered. The methods given by Afsarinejad and Seeger (1988) are extended to give a new family of nearest neighbour balanced designs. Both nearest neighbour balanced designs with and without borders are constructed. A method of construction of a class of partial nearest neighbour balanced (PNN...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Ars Comb.
دوره 86 شماره
صفحات -
تاریخ انتشار 2008