## Morris et al. (2006) Function

### Description:

*Dimensions: 30*

This is a function with 30 input variables, of which only the first k

_{1}variables have an effect, for 1 ≤ k

_{1}≤ 10.

Morris et al. (2006) did analyses for k

_{1}= 2, 3, …, 10. Here, α and β are chosen so as to result in θ

_{i}= 1 and Θ

_{i}= 1.1, for 1 ≤ i ≤ k

_{1}, where θ

_{i}is a measure of the output variation attributable only to x

_{i}, and Θ

_{i}is a measure of the output variation attributable to x

_{i}and any interactions involving x

_{i}.

### Input Domain:

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

### Code:

### Reference:

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.

For questions or comments, please email Derek Bingham at: dbingham@stat.sfu.ca.

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