Optimal mixed Factorial Resolution III designs
Optimálny experiment
Optimum chemical balance weighing designs with diagonal variance-covariance matrix of errors
In this paper we study the estimation problem of individual measurements (weights) of objects in a model of chemical balance weighing design with diagonal variance - covariance matrix of errors under the restriction k₁ + k₂ < p, where k₁ and k₂ represent the number of objects placed on the right and left pans, respectively. We want all variances of estimated measurments to be equal and attaining their lower bound. We give a necessary and sufficient condition under which this lower bound is attained...
Orthogonal Main Effect Plans for Two and Three Factors in Small Blocks.
Plans complémentaires et plans imbriqués
Relations between optimum chemical balance weighing designs for v and v+1 objects
Relations between regular A-optimal chemical and spring balance weighing designs with diagonal covariance matrix of errors
In this paper, we study the relationships between regular A-optimal spring balance weighing designs and regular A-optimal chemical balance weighing designs. We give the basic relation between these designs in the case where the errors are uncorrelated and they have different variances. We give some examples of methods of construction of such designs.
Restricted estimation in unbalanced factorial models: an APL programs package.
This paper describes a set of programs that provide researchers with restricted effect estimations in unbalanced factorial models when several weighing systems are imposed upon those models. The main program performing such an analysis is known as REUFM, and is written in APL⊗PLUS for IBM/PC microcomputers. An example is given in order to ilustrate the programs.
Screening Properties of Certain Two-Level Designs.
Selection in parametric models via some stepdown procedures
The paper considers the problem of consistent variable selection in parametic models with the use of stepdown multiple hypothesis procedures. Our approach completes the results of Bunea et al. [J. Statist. Plann. Inference 136 (2006)]. A simulation study supports the results obtained.
Structures linéaires et analyse des comparaisons
The difference of the variance functions between two estimated responses for a fourth order rotatable design in two dimensions.
Two open problems on balanced block designs
When Product Type Experimental Design is Optimal? Brief Survey and New Results.
Základní principy navrhování experimentů
Navrhování experimentů je disciplína umožňující zvolit optimální průběh experimentu v závislosti na zkoumané hypotéze. V tomto článku ukážeme, jak proces navrhování experimentu probíhá v praxi a na jakých metodách a principech je založen. Vzhledem k širokému záběru však zůstaneme jen u přehledových informací pro jednotlivé modely a pokročilejší postupy. Jako příklad poslouží problém z farmaceutické výroby tablet.