Menu.FrF2levelTabEstimable {RcmdrPlugin.DoE}R Documentation

Estimable 2fis for regular (fractional) factorial 2-level designs

Description

Estimable 2fis for regular (fractional) factorial 2-level designs

Warnings

Not all combinations of inputs are compatible with each other. You may avoid unnecessary work by reading the advice below. In case of violating the restrictions below, the specification of estimable 2fis will take precedence over other specifications (you will be warned, if this happens; on re-opening the dialog, you will then have the chance to adjust the settings).

Blocked designs (number of blocks larger than 1 on the “Base Settings” tab) and specification of an estimable model are not compatible with each other in the current version of the software. Thus, you have to decide on using blocks OR specifying estimable 2-factor interactions. Nevertheless, at least for 2 blocks only, it may be feasible to specify the block factor as one of the regular experimental factors.

Generators or a specific design (radio buttons on the “Base Settings” tab) can neither be specified together with estimable 2-factor interactions.

Finally, it is neither possible to simultaneously specify hard-to-change factors on the “Factor Details” tab and estimable 2-factor interactions.

Brief statistical background

This tab allows to specify 2-factor interactions (2fis) that are of special interest and must be estimable from the experiment. Per default, it is assumed that the design must be at least of resolution IV.

There are two different approaches to estimability: If it can realistically be assumed that all the 2fis that are not of special interest are negligible, it is sufficient to request that the specified 2fis are clear of aliasing with EACH OTHER. Otherwise, i.e. if one is not prepared to assume that all the unselected 2fis are negligible, it is more appropriate to request that the specified 2fis are clear of aliasing with ANY 2fis (both with each other and the other 2fis). Even under this approach, the design need not be resolution V, since the unselected 2fis may be aliased with each other.

The design is created with function FrF2 from package FrF2. The special functionality for estimable 2fis is described here. Users who are not familiar with the terminology around regular fractional factorial designs (e.g. the concept of resolution) can browse the DoEGlossary.

Inputs on Tab Estimable Model

Mode of requesting estimable 2-factor interactions
The radio button switches off the request for specific interactions to be estimable or requests one of the two implemented modes that have been discussed above.
Mimimum resolution
is per default IV and can be set to III by checking the box. Usually, the default is more appropriate.
Select 2-factor interactions
move selected 2-factor interactions between the available list (those are not selected) and the selected list by selecting them with the mouse (multiple selections possible) and moving them with the arrow buttons.
Limit search time
If the bottom radio button is chosen, the search for a design can take a long time. In this case, it is possible to increase (or decrease) the search time after which the search is stopped even if no appropriate design was identified.

Author(s)

Ulrike Groemping

See Also

See also FrF2 for the function that does the calculations and estimable for the statistical detail of the “Estimable Model” functionality within this function.


[Package RcmdrPlugin.DoE version 0.6-6 Index]