X lhsdesign n p returns a latin hypercube sample matrix of size n by p. In statistical sampling a square grid containing sample positions is a latin square if and only if there is only one sample in each row and each column.įor each column of x the n values are randomly distributed with one from each interval 0 1 n 1 n 2 n 1 1 n 1 and randomly permuted. I used a latin hypercube sampling design lhs to generate sets of parameters n 100 used as inputs for the simulations. Latin hypercube sampling technique operates allocating a given number of sample points in a m dimension space having each dimension its specific distribution. Read: Graphic Design Company Logo Samples
Among the strategies devised for computer experiments latin hypercube designs have become particularly popular.
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I chose a lhs design rather a full factorial design in order to reduce the number of simulations. The sampling method is often used to construct computer experiments or for monte carlo integration. I generated 8 artificial landscapes that vary in resource aggregation r and my model runs on these landscapes. Treatments appear once in each row and column. This paper provides a tutorial on latin hypercube design of experiments highlighting potential reasons of its widespread use. Latin square design 2 1 latin square design a latin square design is a method of placing treatments so that they appear in a balanced fashion within a square block or field. Latin hypercube sampling the lhs design is a statistical method for generating a quasi random sampling distribution. Latin hypercube designs latin hypercube sampling is a statistical method for generating a sample of plausible collections of parameter values from a multidimensional distribution. 1989a and shewry and wynn 1987 proposed optimal designs for computer experiments which minimize the integrated mean squared error imse and maximize entropy respectively based on some spatial prediction models.
Replicates are also included in this design.
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