A Class of Non Binary Unequally Replicated E-Optimal Designs.
A New Interpretation of Optimality for E-Optimal Designs in linear Regression Models.
A Note on Component-Wise Kronecker Designs.
A Note on Connectedness of Block Designs.
A note on nonisomorphic Steiner quadruple systems
A Note on the E-Optimality of Block Designs.
A Note on the Estimation of Total Weight in Chemical Balance Weighing Designs.
A note on the relations between two ternary balanced block designs and chemical balance weighing designs
The paper studied the problem of estimating of the weights of p objects in n weighings using a chemical balance weighing design under the restriction on the number of objects which can be placed on the right and left pans, respectively. Conditions under which the estimated weights are uncorrelated are given. The incidence matrices of two ternary balanced block designs which are used to construct chemical balance weighing designs satisfying these conditions are considered.
A Note on the Uniform Distribution on the Arcsin Points.
A Relationship between Efficiencies of Marginal Designs and the Product Design.
A simplex design for gradient estimation in quadratic regression
A simplified treatment of the restricted analysis of a slightly disproportionate factorial experiment.
This paper considers a procedure to obtain effect estimators in the least squares analysis of a slightly disproportionate factorial design when a sample survey is made of the results of an extensive experiment. Explicit formulae have been found for the restricted estimators and their variances, when the constraints normally imposed upon a proportional model are used. In addition, an approximate analysis of the original model is used to perform that estimation, and an approximate analysis of variance...
A sufficient statistic and a nonstandard linearization in nonlinear regression
A unified terminology in block designs
Partially efficiency balanced (PEB) designs with m efficiency classes have been defined by Puri and Nigam [15] as block designs which have simple analysis and, if properly used, allow the important contrasts to be estimated with desired efficiency. Such designs can be made available in varying replications and/or unequal block sizes. However, any block design is a PEB design with m efficiency classes for some m < v, where v is the number of treatments in the design. So the term "PEB" itself is...
A Vertex-Exchange-Method in D-optimal Design Theory.
Adaptive biased-coin designs for clinical trials with several treatments
Adaptive designs are used in phase III clinical trials for skewing the allocation pattern towards the better treatments. We use optimum design theory to provide a skewed biased-coin procedure for sequential designs with continuous responses. The skewed designs are used to provide adaptive designs, the performance of which is studied numerically for designs with three treatments. Important properties are loss and the proportion of allocation to inferior treatments. Regularisation to provide consistent...
Adaptive control for sequential design
The optimal experiment for estimating the parameters of a nonlinear regression model usually depends on the value of these parameters, hence the problem of designing experiments that are robust with respect to parameter uncertainty. Sequential designpermits to adapt the experiment to the value of the parameters, and can thus be considered as a robust design procedure. By designing theexperiments sequentially, one introduces a feedback of information, and thus dynamics, into the design procedure....
Affine resolvable incomplete block designs
Algebraic structureof step nesting designs
Step nesting designs may be very useful since they require fewer observations than the usual balanced nesting models. The number of treatments in balanced nesting design is the product of the number of levels in each factor. This number may be too large. As an alternative, in step nesting designs the number of treatments is the sum of the factor levels. Thus these models lead to a great economy and it is easy to carry out inference. To study the algebraic structure of step nesting designs we introduce...
Algorithm 33. Test for difference in trends in a two-factor experiment with repeated measurements