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A 3-dimensional linear orthogonal array (OA) of strength 2 with 49 points. The design points are equally spaced into 2 dimensional coordinate planes. However by construction, such OAs satisfy a linear relation, here: `x1 + 3*x2 + x3 = 0 (mod 7)`

. As a consequence, the design points are contained in parallel planes orthogonal to (1,3,1). Actually, they are also contained in parallel planes orthogonal to other directions, as (2,-1,2) or (3,2,3), since the congruence relation leads to `2*x1 - x2 + 2*x3 = 0 (mod 7)`

or `3*x1 + 2*x2 + 3*x3 = 0 (mod 7)`

. For instance, they are contained in 4 parallel planes orthogonal to (2,-1,2).

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A data frame with 49 observations on the following 3 variables.

`x1`

first coordinate

`x2`

second coordinate

`x3`

third coordinate

Roustant O., Franco J., Carraro L., Jourdan A. (2010), A radial scanning statistic for selecting space-filling designs in computer experiments, MODA-9 proceedings.

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