Internal functions needed for function GWLP
Choose(n, k)
Kraw(k,x,n,q)
ham(c1, c2)
# levels.no(xx)
levelmix(xx)
distDistmix(code, levm)
Bprime(dists, nmax=5)
dualDistmix(Bprime, nmax=5)
not documented for these internal functions
an integer number
an integer number
an integer number
an integer number
a design row
a design row
a design, not necessarily of class design
a design, not necessarily of class design
an object returned by function levelmix
the BSep element of an outcome object from distDistmix
,
analogous to the B_j1_j2 of p.1072 of Xu and Wu 2001
set to kmax
in calls by other functions
an outcome object from Bprime
, the MacWilliams transform
of the distance distribution
Hongquan Xu, Ulrike Groemping
The functions are used in function GWLP
.
Function ham
calculates the Hamming distance, function Kraw
the Krawtchouk polynomials, function Choose
differs from the base
function choose
by treatment of negative values n
,
functions levels.no
and levelmix
are utilities providing the
level information on the design xx
(levels.no(xx)
is commented out
in the usage section, because it can be seen as an S3 method for the generic
function levels
for objects of a conceivable class no
;
therefore its documentation without #
would cause complaints in CRAN checks.)
The functions distDistmix
, Bprime
and dualDistmix
implement formulae from Xu and Wu (2001) for the distance distribution,
its MacWilliams transform and the calculation of GWLP from the latter.
Xu, H.-Q. and Wu, C.F.J. (2001). Generalized minimum aberration for asymmetrical fractional factorial designs. Annals of Statistics 29, 1066--1077.
See Also GWLP