UNREPLICATED SPATIAL DESIGNS COMPARED USING OPTIMALITY CRITERIA

Isogeometric Topology Optimization by Using Optimality Criteria and Implicit Function

A new method for structural topology optimization is introduced which employs the Isogeometric Analysis (IA) method. In this approach, an implicit function is constructed over the whole domain by Non-Uniform Rational B-Spline (NURBS) basis functions which are also used for creating the geometry and the surface of solution of the elasticity problem. Inspiration of the level set method zero level...

Objective Methods for Analysing Unreplicated Factorial Designs

— There is not a method for analysing unreplicated factorial designs that performs well for various configurations of number and size of active effects. Moreover, the most popular tool that has been applied is informal and subjective. To overcome these drawbacks, this paper suggests a multiple testing to help practitioners making objective decisions and identifying active effects with a minimum...

On the Choice of Optimality Criteria in Comparing Statistical Designs

Testing Multiple Dispersion Effects in Unreplicated Fractional Factorial Designs

In unreplicated 2kp designs, the assumption of constant variance is commonly made. When the variance of the response differs between the two levels of a column in the effect matrix, that column produces a dispersion effect. In this article we show that two active dispersion effects may create a spurious dispersion effect in their interaction column. Most existing methods for dispersion-effect t...

Optimality Aspects of Designs

1. Introduction Careful experimentation is an essential part of any problem of decision-making. An experiment is a device or means of getting an answer to the problem under consideration. In any sphere of scientific research, the general procedure that the experimenter has to adopt is to formulate the hypothesis according to the problem whose answer is to be sought for and then to verify the fo...