On Variance Balanced Designs
نویسندگان
چکیده
منابع مشابه
Variance 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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We introduce here two types of balanced nested designs (BND), which are called symmetric and pair-sum BNDs. In this paper, we give a construction for pair-sum BNDs of BIBDs from nested BIBDs and perpendicular arrays. We also give some direct constructions for pair-sum BNDs of BIBDs, based on the result obtained by Wilson (1972). By use of these constructions, we show some constructions for regu...
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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...
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In discussing block designs we use the usual notations and terminology of the combinatorialliterature (see, for example, [1], [2]) "balance" will always mean pairwise balance and blocks do not contain repeated elements. It is well-known that a balanced design need not have constant block-size or constant replication number. However, it is easy to show ([2, p.22J). that in any balanced design wi...
متن کاملBalanced nested designs and balanced arrays
Balanced nested designs are closely related to other combinatorial structures such as balanced arrays and balanced n-ary designs. In particular, the existence of symmetric balanced nested designs is equivalent to the existence of some balanced arrays. In this paper, various constructions for symmetric balanced nested designs are provided. They are used to determine the spectrum of symmetric bal...
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ژورنال
عنوان ژورنال: Journal of Modern Applied Statistical Methods
سال: 2017
ISSN: 1538-9472
DOI: 10.22237/jmasm/1509494820