tunelocal {CA3variants}  R Documentation 
This function allows to select the optimal dimension number
for correspondence biplot, given the set of possible dimension combination
of the original data. It determines the models that are located on the boundary of the convex hull
and selects an optimal model by means of the scree test values (st).
For exploring, it is also possible to check the optimal model dimension by using
boostrap samples which have the same marginal proportions and the total number
of the original table. When the input parameter boots = T
, it does bootstrap sampling.
There are three kinds of possible bootstrap sampling.
When boottype = "bootnp"
it performs a non parametric bootstrap sampling.
When boottype = "bootpsimple"
it performs a parametric simple bootstrap sampling.
When boottype = "bootpstrat"
, it performs a parametric stratified bootstrap sampling.
In particular in case of parametric bootstrap types,
when resamptype=1
it considers a multinomial distribution, and when resamptype = 2
it considers a poisson distribution.
tunelocal(Xdata, ca3type = "CA3", resp = "row", norder = 3, digits = 3, boots = FALSE,
nboots = 0, boottype= "bootpsimple", resamptype = 1, PercentageFit = 0.01)
Xdata 
The threeway data. It can be a 
ca3type 
The specification of the analysis to be performed.
If 
resp 
The input parameter for specifying in nonsymmetrical threeway correspondence analysis variants ( 
norder 
The input parameter for specifying the number of ordered variable when 
digits 
The input parameter specifying the digital number. By default, 
boots 
The flag parameter to perform the search of optimal dimensions using
bootstrap samples. By defaults, 
nboots 
The number of bootstrap samples to generate when 
boottype 
The specification of the kind of bootstrap sampling to be performed.
If 
resamptype 
When the kind of bootstrap is parametric you can set the data distribution using
the input parameter 
PercentageFit 
Required proportion of increase in fit of a more complex model. By default,

output1 
Chisquare criterion and df of models on the convex hull.
It gives the criterion values of the models that are located on the boundary of the convex hull
and selects the optimal model by means of the scree test values (st).
When using 
Rosaria Lombardo, Michel van de Velden, Eric J Beh.
Wilderjans T F, Ceulemans E, and Meers K (2013) CHull: A generic convex hull based model
selection method. Behavior Research Methods, 45, 115.
Ceulemans E, and Kiers H A L (2006) Selecting among threemode principal component models
of different types and complexities: A numerical convex hull based method. British Journal of
Mathematical & Statistical Psychology, 59, 133150.
tunelocal(Xdata = happy, ca3type = "CA3")