In two dimensions the difference between random sampling, Latin Hypercube sampling and orthogonal sampling can be explained as follows: • In random sampling new sample points are generated without taking into account the previously generated sample points. One does not necessarily need to know beforehand how many sample points are needed. • In Latin Hypercube sampling one must first decide how many sample points to use and for each sample point remember in which row and column the sample point was taken. Note that such configuration is similar to having N rooks on a chess board without threatening each other. • In Orthogonal sampling, the sample space is divided into equally probable subspaces. All sample points are then chosen simultaneously making sure that the total ensemble of sample points is a Latin Hypercube sample and that each subspace is sampled with the same density.
Thus, orthogonal sampling ensures that the ensemble of random numbers is a very good representative of the real variability, LHS ensures that the ensemble of random numbers is representative of the real variability whereas traditional random sampling (sometimes called brute force) is just an ensemble of random numbers without any guarantees. References [ ]. • McKay, M.D.; Beckman, R.J.; Conover, W.J. 'A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code'. ( Abstract) format= requires url= ()..
Latin Hypercube Sampling Free Download - Latin Hypercube Sampling. Stratified Sampling Frame in GIS: A Computer Code for Latin Hypercube Sampling (LHS) Technique in Environmental Modelling [Festus Ng'eno, Dr.
21 (2): 239–245..... • Eglajs, V.; Audze P. 'New approach to the design of multifactor experiments'. Problems of Dynamics and Strengths. 35 (in Russian).
Riga: Zinatne Publishing House: 104–107. • Iman, R.L.; Helton, J.C.; (1981). 'An approach to sensitivity analysis of computer models, Part 1. Introduction, input variable selection and preliminary variable assessment'. Journal of Quality Technology. 13 (3): 174–183. • Iman, R.L.; Davenport, J.M.; Zeigler, D.K.
Latin hypercube sampling (program user's guide).. Further reading [ ] • Tang, B. 'Orthogonal Array-Based Latin Hypercubes'. Journal of the American Statistical Association. 88 (424): 1392–1397... 'Orthogonal arrays for computer experiments, integration and visualization'. Statistica Sinica.
'Orthogonal column Latin hypercubes and their application in computer experiments'. Journal of the American Statistical Association. 93 (444): 1430–1439...
Latin Hypercube PEST Utilities for Latin Hypercube Sampling A number of utility programs are available which facilitate use of PEST in conjunction with a Latin hypercube sampling (LHS) program produced by Sandia National Laboratories. The latter is described in: Swiler, L.P. And Wyss, G.D., 2004.
A User’s Guide to Sandia’s Latin Hypercube Sampling Software: LHS UNIX Library/Standalone Version. Sandia National Laboratories, Report SAND2004-2439. Race 2 Full Movie Dvdrip Download more. Compiled versions of the LHS sampler, PEST-LHS utilities, and documentation for all of these can be downloaded by clicking. Blinded By The Lights Acapella Videos there. Web Site Managed via C 4Site Factory,™ a trademark of ©2017 Copyright Echo Valley Graphics, Inc.
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