Latin Square Type Bipartite Row-column Designs
نویسندگان
چکیده
A class of Balanced Bipartite Row-Column Designs (BBPRC-designs) in two sets of treatments of sizes v1=v and v2=v+1 with replications 2(v-1) and 2v, respectively, has been constructed by replacing the ii-th positions of 2v × 2v standard cyclic latin square design in 2v treatments by 2v treatments by (2v+1)-th treatment. Such design finds applications in agricultural and industrial experimentations where different replications for two sets of treatments are to be provided or we wish to estimate the two sets of treatments with different precisions and at the same time want to eliminate two way heterogeneity.
منابع مشابه
Row and Column Elimination Sampling Design +1 and its Efficiencies
Extended Abstract. It is a traditional way in biological, sociological, agricultural and geological studies to partition a geographical area into quadrats and then take a sample of them by a particular sampling design. We study the relevant characteristic of quadrats to estimate a parameter of the population. We suppose that the variable of interest has a positive spatial autocorrelation. Sampl...
متن کاملQuasi - Latin designs and their use in glasshouse exper - 1 iments
This paper gives a general method for constructing quasi-Latin square, quasi-Latin 12 rectangle and extended quasi-Latin rectangle designs for symmetric factorial experiments. Two 13 further methods are given for parameter values satisfying certain conditions. Designs are 14 constructed for a range of numbers of rows and columns so that the different construction 15 techniques are illustrated. ...
متن کاملLifting Redundancy from Latin Squares to Pandiagonal Latin Squares
In the pandiagonal Latin Square problem, a square grid of size N needs to be filled with N types of objects, so that each column, row, and wrapped around diagonal (both up and down) contains an object of each type. This problem dates back to at least Euler. In its specification as a constraint satisfaction problem, one uses the all different constraint. The known redundancy result about all dif...
متن کاملLatin Squares with No Small Odd Plexes
A k-plex in a Latin square of order n is a selection of kn entries in which each row, column, and symbol is represented precisely k times.A transversal of aLatin square corresponds to the case k = 1. We show that for all even n > 2 there exists a Latin square of order n which has no k-plex for any odd k < n4 but does have a k-plex for every other k ≤ 1 2n. © 2008 Wiley Periodicals, Inc. J Combi...
متن کاملFactor pair latin squares
Sudoku has risen in popularity over the past few years. The rules are simple, yet the solutions are often less than trivial. Mathematically, these puzzles are interesting in their own right. This paper will generalize the idea of a sudoku puzzle to define a new kind of n× n array. We define a latin square of order n as an n×n array where every row and every column contain every symbol 1, 2, . ....
متن کامل