In reply to Petter Asiling.

The scenario in this article assumes that the data are a random sample from a multivariate distribution. LHS is for designed experiments. LHS requires that you can independently control/vary the inputs. You can't always use LHS when the inputs are correlated. For example, if the explanatory variables are age, weight, and BMI, you might not have any patients in your study who have a low age, high weight, and low BMI. If my answer is not clear, you might try posting your question to the "Cross Validated" discussion forum.