Add to ORKGWe consider factorial designs in blocks, where there are two treatment factors with the same number of levels, and both must be orthogonal to blocks. It is shown that these designs are duals of semi-Latin squares, and that the dual is optimal if and only if the semi-Latin square is optimal, for a wide range of optimality criteria. The optimal designs are described in language relevant for the factorial setting, which is shown to have applications in experiments on the interaction between humans and machines
Designs for sets of experimental units with many blocking factors are studied. It is shown that if t...
In experiments with mixtures involving process variables, orthogonal block designs may be used to al...
Prescott (1998) discussed nearly optimal orthogonally blocked designs based on latin squares for mix...
We consider factorial designs in blocks, where there are two treatment factors with the same number ...
Orthogonally blocked experimental designs for mixtures of five ingredients, formed from Latin square...
Let \mathcal{D}_{v,b,k} be the set of all the binary equireplicate incomplete-block designs for v tr...
Optimality of orthogonally blocked complete diallel crosses for estimating general combining abiliti...
It is shown that (i) general balance with respect to the factorial structure and (ii) orthogonal fac...
In this paper we use incidence matrices of block designs and row-column designs to obtain combinator...
An (n \times n)/k semi-Latin square is like an n \times n Latin square except that there are k lette...
Fractional factorial designs have been successfully used in various scientific investigations for ma...
Not AvailableIn this paper, the problem of obtaining efficient block designs for incomplete factoria...
Fractional factorial designs have been successfully used in various scientific investigations for ma...
John (1984) used latin squares for the construction of orthogonal block designs for the Scheffé\u27s...
We define a new class of adjusted orthogonal row-column designs, termed lattice-LBD. These are shown...
Designs for sets of experimental units with many blocking factors are studied. It is shown that if t...
In experiments with mixtures involving process variables, orthogonal block designs may be used to al...
Prescott (1998) discussed nearly optimal orthogonally blocked designs based on latin squares for mix...
We consider factorial designs in blocks, where there are two treatment factors with the same number ...
Orthogonally blocked experimental designs for mixtures of five ingredients, formed from Latin square...
Let \mathcal{D}_{v,b,k} be the set of all the binary equireplicate incomplete-block designs for v tr...
Optimality of orthogonally blocked complete diallel crosses for estimating general combining abiliti...
It is shown that (i) general balance with respect to the factorial structure and (ii) orthogonal fac...
In this paper we use incidence matrices of block designs and row-column designs to obtain combinator...
An (n \times n)/k semi-Latin square is like an n \times n Latin square except that there are k lette...
Fractional factorial designs have been successfully used in various scientific investigations for ma...
Not AvailableIn this paper, the problem of obtaining efficient block designs for incomplete factoria...
Fractional factorial designs have been successfully used in various scientific investigations for ma...
John (1984) used latin squares for the construction of orthogonal block designs for the Scheffé\u27s...
We define a new class of adjusted orthogonal row-column designs, termed lattice-LBD. These are shown...
Designs for sets of experimental units with many blocking factors are studied. It is shown that if t...
In experiments with mixtures involving process variables, orthogonal block designs may be used to al...
Prescott (1998) discussed nearly optimal orthogonally blocked designs based on latin squares for mix...