Comparison of Robustness of Two Partially Balanced Incomplete Block Designs [PBIBD (2)] Using Optimality Criteria
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...
متن کاملConstruction of Balanced Incomplete Block Designs Using Cyclic Shifts
The construction of balanced incomplete block designs is considered using the method of cyclic shifts. An interesting feature of this method is that there is no need to construct the bocks of the actual design to obtain the properties of a design. One can obtain the off-diagonal elements of the concurrence matrix from the sets of shifts with less effort. A catalogue of balanced incomplete block...
متن کاملOn Ordinal Covering of Proposals Using Balanced Incomplete Block Designs
A frequently encountered problem in peer review systems is to facilitate pairwise comparisons of a given set of proposals by as few as referees as possible. In [8], it was shown that, if each referee is assigned to review k proposals then n(n-1)/k(k-1) referees are necessary and n(2n-k)/k referees are sufficient to cover all n(n-1)/2 pairs of n proposals. While the upper bound remains withi...
متن کاملRemarks on Balanced Incomplete Block Designs
Proof. Assume the hypothesis and the falsity of either conclusion. Construct matrix A of 2x + 2 rows and 4x+4 columns, with entries + 1 and — 1. The first column contains exclusively +1, and the second column — 1. Set up one-to-one correspondences between rows of A and elements of D ; between columns other than the first two of A and blocks of D. Enter +1 if the element is contained in the bloc...
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: Asian Journal of Mathematics & Statistics
سال: 2020
ISSN: 1994-5418
DOI: 10.3923/ajms.2021.1.12