# Are Latin hypercube samples uncorrelated

I understand the basics to Latin hypercube sampling, such as implemented by the algorithm LHSA mentioned in the book Design and Modeling for Computer Experiments.

But I'd like to make sure:

1, n samples for s independent variables from LHS are not necessarily uncorrelated with each other. 2, these s independent variables can have interactions in a variance based sensitivity analysis.

• What exactly do you mean by "are samples from LHS necessarily independent of each other"? Generally, the point of design of experiments is to ensure the variables / conditions are independent of each other, & the independence of the data is an assumption. – gung - Reinstate Monica Apr 22 '15 at 17:47

1. The s random variables are independent in most LHS implementations. The variables may have a non-zero sample correlation, but they are independent in the statistical sense.