Fractional factorial designs are widely used in practice and typically chosen according to the minimum aberration criterion. A sequential algorithm is developed for constructing efficient fractional factorial designs. A construction procedure is proposed that only allows a design to be constructed from its minimum aberration projection in the sequential build-up process. To efficiently identify...

Multivariate testing is a popular method to improve the layout of digital products such as a website and an application. Fractional factorial designs are usually used to perform online testing with large number of attributes. However, digital spaces present a new design challenge that doest not exist in the traditional experimental design literature: online testing is conducted across multiple ...

The optical quality of the human eye varies across the visual field. Hence an exact compensation of the eye aberration for a given field point can give rise to a less-than-optimum compensation in neighboring field regions. We have studied some aspects of this problem and present here an approach to design wide-field (< 10 degrees) optically thin correcting elements, e.g., phase plates, deformab...

The effect of third-order balanced spherical aberration on the axial irradiance of holographic lenses is considered. It is shown that the number of principal maxima of axial irradiance increases for large aberrations, and the position of these points can be different from the position of the minimum aberration variance point.

It is known that all resolution IV regular 2 designs of run size N = 2 where 5N/16 < n < N/2 must be projections of the maximal even design with N/2 factors and, therefore, are even designs. This paper derives a general and explicit relationship between the wordlength pattern of any even 2 design and that of its complement in the maximal even design. Using these identities, we identify some (we...

When fitting a linear regression model to data, the effects not included in the model can confound those included in the model, resulting in incorrect estimates of the regression coefficients and incorrect inferences as to whether a term is significant. This paper shows how uniform designs can reduce this aliasing. The discrepancy is a quantitative measure of how uniformly design points are pla...