Catalogues of regular 128 run designs of various factor numbers
Catalogues of regular 128 run designs of various factor numbers
catlg128.8to15 catlg128.16 catlg128.17 catlg128.18 catlg128.19 catlg128.20 catlg128.21 catlg128.22 catlg128.23 catlg128.24 catlg128.25 catlg128.26to33
Their main intention is to support automatic search of clear designs with
options estimable and clear=TRUE in function FrF2.
For this purpose, in principle, a complete catalogue of resolution IV designs in 128 runs
would be needed. The catalogues come from Xu (2009; supplement on his website up to 25 factors)
or Mee (2012, personal communication)
and have been enriched by information on clear interactions
(entry clear.2fis for each element).
Wu, Mee and Tang (2012) proved that one need not consider designs with no 5-letter words, as they are always dominated by a better design that can clearly accomodate the same two-factor interactions. Therefore, as of version 1.1 of this package, the resolution IV designs in the catalogues have been reduced to those that do have 5-letter words. For the search for clear designs, it even suffices to search dominating designs only. These are identified by the dominating element of each catalogue entry. The previous complete catalogues of designs can be downloaded from the author's website. Catalogues for 25 to 33 factors have been made available with version 1.2 of the package.
If one of these catalogues is used in the select.catlg option of
function FrF2, the function is guaranteed to find the
best clear design in 128 runs for the requested number of factors,
when used with its option estimable.
For earlier versions of the package, the catalogues had to be loaded with
a data() command. This is no longer required, and not even supported;
the catalogues are now lazy loaded, i.e. they will be automatically loaded
on first use.
Ulrike Groemping
Mee, R. (2012) Catalogues of even/odd designs produced by Robert Block. Personal communication. Wu, H., Mee, R. and Tang, B. (2012) Fractional Factorial Designs With Admissible Sets of Clear Two-Factor Interactions. Technometrics 54, 191-197. Xu, H. (2009) Algorithmic Construction of Efficient Fractional Factorial Designs With Large Run Sizes. Technometrics 51, 262-277.
catlg128.8to15[1:5]
## example of using a catalogue from this package with function FrF2
## the design in the example will also be found with the default catalogue
## because arrays for all compromise plans with up to 24 factors
## have been added to catlg with FrF2 version 1.1-1
## from package FrF2 1.6-5 onwards, package FrF2.catlg128 need not be loaded
## for the code below to work
## Not run:
plan <- FrF2(128, 23, estimable=compromise(23,1:2)$requirement, select.catlg=catlg128.23)
summary(plan)
length(catlg128.23)
## End(Not run)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.