Virtual Library of Simulation Experiments:

Test Functions and Datasets

Morris et al. (2006) Function


Dimensions: 30

This is a function with 30 input variables, of which only the first k1 variables have an effect, for 1 ≤ k1 ≤ 10.

Morris et al. (2006) did analyses for k1 = 2, 3, …, 10. Here, α and β are chosen so as to result in θi = 1 and Θi = 1.1, for 1 ≤ i ≤ k1, where θi is a measure of the output variation attributable only to xi, and Θi is a measure of the output variation attributable to xi and any interactions involving xi.

Input Domain:

This function is evaluated on the hypercube xi ∈ [0, 1], for all i = 1, …, 30.



Morris, M. D., Moore, L. M., & McKay, M. D. (2006). Sampling plans based on balanced incomplete block designs for evaluating the importance of computer model inputs. Journal of statistical planning and inference, 136(9), 3203-3220.

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