Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 5 of 5 for “"A-optimality"”.
-
Optimal Blocking for Three Treatments and BIBD Robustness - Two Problems in Design Optimality
Design optimality plays a central role in the area of statistical experimental design. In general, problems in design optimality are composed of two vital, but separable, components. One of these is determining conditions under which a design is optimal (such as criterion bounds, values of design …
-
Optimal Design of Single Factor cDNA Microarray experiments and Mixed Models for Gene Expression Data
… expression profiling on a large scale. E- and A-optimality of mixed designs was established for experiments with up to 26 different varieties and with the restriction that the number of arrays available is equal to the number of varieties. Because the IBD setting only allows for a single blocking …
-
Weighted Optimality of Block Designs
Design optimality for treatment comparison experiments has been intensively studied by numerous researchers, employing a variety of statistically sound criteria. Their general formulation is based on the idea that optimality functions of the treatment information matrix are invariant to treatment …
-
OPTIMALITY OF CHEMICAL BALANCE WEIGHING DESIGNS.
… factorial designs. The well-known D-, A- and E-optimality criteria are obtained by taking (PHI)(X('T)X) = det(X('T)X)('-1), tr(X('T)X)('-1) and the maximum of the eigenvalue of (X('T)X)('-1) respectively. All these criteria are functions of the spectrum of X('T)X. Let …
-
Optimality and Construction of Designs with Generalized Group Divisible Structure
<p>This thesis is an investigation of the optimality and construction problems attendant to the assignment of v treatments to experimental units in b blocks of size k, paying special attention to settings for which equal replication of the treatments is not possible. The model is that of one way …