Efficient block designs for symmetric parallel line assays
نویسندگان
چکیده
منابع مشابه
Block designs for symmetric parallel line assays with block size odd
SUMMARY. In a parallel line assay, there are three treatment contrasts of major importance. Block designs allowing the estimability of all the three contrasts free from block effects, called L-designs, necessarily have the block sizes even. For odd block sizes, we provide here a class of highly efficient designs, called nearly L-designs. These nearly L-designs have been constructed by establish...
متن کاملIncomplete Block Designs for Multiple Asymmetric Parallel Line Assays
A method of construction of A-optimal binary block designs for multiple asymmetrical parallel line assays has been proposed. Illustration of the method with examples has been provided. By this method two series of designs are obtained. The first series of designs have equal replication of treatments with unequal block sizes. The second series of designs have equal block sizes with unequal repli...
متن کاملSome New Symmetric Block Designs EDWARD
In his book [I 1, Marshall Hall gives a table of balanced incomplete block designs with from 3 to 15 replications. It is mentioned there that a solution is unknown as to whether or not there exists a symmetric block design with parameters (v, k, h) = (36, 15, 6) (number 104 in the table). It is the purpose of this paper to show that such a design can in fact be constructed quite simply and to s...
متن کاملSymplectic Groups, Symmetric Designs, and Line Ovals*
Let I7 = Sp(2m, 2) and I’ = X7, where Z is the translation group of the affine space AG(2m, 2). 17 acts 2-transitively on the cosets of each orthogonal subgroup G@(2m, 2), E = *l, and r has a second class of subgroups isomorphic to 17 ([lo, pp. 236, 2401, [6], and [14]). By considering a certain symmetric design P(2m) having r as its full automorphism group, we will prove these results. The sym...
متن کاملA-efficient balanced treatment incomplete block designs
The purpose of this paper is to present a large number of highly A-efficient incomplete block designs for making comparisons among a set of test treatments and a control treatment. These designs are BTIB designs. A simple method of construction of BTIB designs, based on BIB designs is proposed. The advantage of this method is that one can use the vast literature on BIB designs to obtain a large...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Cogent Mathematics
سال: 2016
ISSN: 2331-1835
DOI: 10.1080/23311835.2016.1238181