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RcmdrPlugin.DoE (version 0.9-1)

Menu.oaTab1: Basic information for orthogonal main effects designs

Description

Basic information for orthogonal main effects design Menu

Arguments

Brief statistical background

The orthogonal main effects designs are of different types. They all work well if there are indeed no interactions between factors. Some of them have complete aliasing between main effects and two-factor interactions at least for some factors. It is therefore advisable to check the design before actually conducting the experiment with respect to its potential analysis options and biases. Note that it is usually preferable to create an experiment with solely 2-level factors from the special menu for 2-level situations (exceptions: resolution V nonregular arrays in 128, 256 or 2048 runs, cf. Details section). If there is just one factor at more than 2 levels, it may also be useful to simply cross this factor with an otherwise 2-level design. If only relatively few of the columns are used, it is possible with some orthogonal arrays to also estimate interactions, or at least to estimate main effects unbiasedly even in the presence of interactions. This may e.g. be possible for some of the arrays in 2, 4 and 8 or 16 level factors (that have arisen from regular fractional factorials). Automatic optimization can help finding such designs. It is highly recommended to diagnose the structure of the design before using it for experimentation, e.g. using the Summarize design ... item in the Inspect design menu.

Details

It is useful to look at available designs for deciding which specific design should be selected. For example, when trying to automatically optimize a design, it may be more useful to start from a design with relatively few factors. If a design for two 2-level factors, one 4-level factor and one 8-level factor is sought, you may e.g. use the array L64.2.5.4.10.8.4 or the array L64.2.53.4.1.8.1, which will make quite a difference in terms of run time for the optimization choice min34. The designs L128.2.15.8.1, L256.2.19 and L2048.2.63 are irregular resolution V designs for the 2-level factors.

See Also

See Also oa.design for the function that does the calculations and Menu.General for overall help on the general factorial design menu.