Partial Bootstrap Analysis — boot • dimensio

Checks analysis with partial bootstrap resampling.

Usage

# S4 method for CA
bootstrap(object, n = 30)

# S4 method for PCA
bootstrap(object, n = 30)

Arguments

object: A CA or PCA object.
n: A non-negative integer giving the number of bootstrap replications.

Value

Returns a BootstrapCA or a BootstrapPCA object.

References

Greenacre, Michael J. Theory and Applications of Correspondence Analysis. London: Academic Press, 1984.

Lebart, L., Piron, M. and Morineau, A. Statistique exploratoire multidimensionnelle: visualisation et inférence en fouille de données. Paris: Dunod, 2006.

Lockyear, K. (2013). Applying Bootstrapped Correspondence Analysis to Archaeological Data. Journal of Archaeological Science, 40(12): 4744-4753. doi:10.1016/j.jas.2012.08.035 .

Ringrose, T. J. (1992). Bootstrapping and Correspondence Analysis in Archaeology. Journal of Archaeological Science, 19(6): 615-629. doi:10.1016/0305-4403(92)90032-X .

Author

N. Frerebeau

Examples

## Bootstrap on CA
## Data from Lebart et al. 2006, p. 170-172
data("colours")

## Compute correspondence analysis
X <- ca(colours)

## Bootstrap (30 replicates)
Y <- bootstrap(X, n = 30)

if (FALSE) {
## Get replicated coordinates
get_replications(Y, margin = 1)
get_replications(Y, margin = 2)
}

## Plot with ellipses
viz_rows(Y)
viz_tolerance(Y, margin = 1, level = c(0.68, 0.95))


viz_columns(Y)
viz_tolerance(Y, margin = 2, level = c(0.68, 0.95))


## Plot with convex hulls
viz_columns(Y)
viz_hull(Y, margin = 2)


## Bootstrap on PCA
## Compute principal components analysis
data("iris")
X <- pca(iris)
#> 1 qualitative variable was removed: Species.

## Bootstrap (30 replicates)
Y <- bootstrap(X, n = 30)

## Plot with ellipses
viz_variables(Y)
viz_tolerance(Y, margin = 2, level = c(0.68, 0.95))