Centered $L_2$-discrepancy of random sampling and Latin hypercube design, and construction of uniform designs

Centered L2-discrepancy of random sampling and Latin hypercube design, and construction of uniform designs

In this paper properties and construction of designs under a centered version of the L2-discrepancy are analyzed. The theoretic expectation and variance of this discrepancy are derived for random designs and Latin hypercube designs. The expectation and variance of Latin hypercube designs are significantly lower than that of random designs. While in dimension one the unique uniform design is als...

Construction of Nested Orthogonal Latin Hypercube Designs

Nested Latin hypercube designs (LHDs) are proposed for conducting multiple computer experiments with different levels of accuracy. Orthogonality is shown to be an important feature. Little is known about the construction of nested orthogonal LHDs. We present methods to construct them with two or more layers, making use of orthogonal designs. The constructed designs possess the property that the...

2 the Wd of Random Sampling and Latin Hypercube

construction and validation of the translation teacher competency test and the scale of students’ perceptions of translation teachers

the major purpose of this study was to develop the translation teacher competency test (ttct) and examine its construct and predictive validity. the present study was conducted in two phases: a qualitative phase as well as a quantitative phase. in the first phase of the study, the author attempted to find out the major areas of competency required for an academic translation teacher. the second...

Algorithmic construction of optimal symmetric Latin hypercube designs

We propose symmetric Latin hypercubes for designs of computer exepriment. The goal is to ooer a compromise between computing eeort and design opti-mality. The proposed class of designs has some advantages over the regular Latin hypercube design with respect to criteria such as entropy and the minimum intersite distance. An exchange algorithm is proposed for constructing optimal symmetric Latin ...