Robustness of variance balanced designs against the unavailability of some observations
نویسندگان
چکیده
منابع مشابه
Robustness of Nested Balanced Incomplete Block Designs Against Missing Data
Robustness aspects of nested balanced incomplete block designs against missing data have been investigated using connectedness and efficiency criteria. Sufficient condition for robustness of a design has been obtained for the loss of any m observations, using connectedness criterion. Designs robust against the loss of any m observations belonging to one sub-block, loss of any two observations b...
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A pairwise balanced design, B(K; v), is a block design on v points, with block sizes taken from K, and with every pair of points occurring in a unique block; for a fixed K, B(K) is the set of all v for which a B(K; v) exists. A set, S, is a PBD-basis for the set, T , if T = B(S). Let Na(m) = {n : n ≡ a mod m}, and N≥m = {n : n ≥ m}; with Q the corresponding restriction of N to prime powers. Thi...
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15 صفحه اولVariance Balanced Block Designs with Repeated Blocks
Some construction methods of the variance balanced block designs with repeated blocks are given. They are based on the incidence matrices of the balanced incomplete block designs with repeated blocks.
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A balanced part ternary design (BPTD) is a balanced ternary design (BTD) with a specified number of blocks, say b2, each having repeated elements. We prove some necessary conditions on b2 and show the existence of some particular BPTDs. We also give constructions of infinite families of BPTDs with b1 = 0, including families of ternary t-designs with t ≥ 3.
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1996
ISSN: 0018-2079
DOI: 10.32917/hmj/1206127367