bootstrap.lca: Bootstrap Samples of LCA Results

In e1071: Misc Functions of the Department of Statistics, Probability Theory Group (Formerly: E1071), TU Wien

Bootstrap Samples of LCA Results

Description

This function draws bootstrap samples from a given LCA model and refits a new LCA model for each sample. The quality of fit of these models is compared to the original model.

Usage

bootstrap.lca(l, nsamples=10, lcaiter=30, verbose=FALSE)

Arguments

l	An LCA model as created by lca
nsamples	Number of bootstrap samples
lcaiter	Number of LCA iterations
verbose	If TRUE some output is printed during the computations.

Details

From a given LCA model l, nsamples bootstrap samples are drawn. For each sample a new LCA model is fitted. The goodness of fit for each model is computed via Likelihood Ratio and Pearson's Chisquare. The values for the fitted models are compared with the values of the original model l. By this method it can be tested whether the data to which l was originally fitted come from an LCA model.

Value

An object of class bootstrap.lca is returned, containing

logl, loglsat	The LogLikelihood of the models and of the corresponding saturated models
lratio	Likelihood quotient of the models and the corresponding saturated models
lratiomean, lratiosd	Mean and Standard deviation of lratio
lratioorg	Likelihood quotient of the original model and the corresponding saturated model
zratio	Z-Statistics of lratioorg
pvalzratio, pvalratio	P-Values for zratio, computed via normal distribution and empirical distribution
chisq	Pearson's Chisq of the models
chisqmean, chisqsd	Mean and Standard deviation of chisq
chisqorg	Pearson's Chisq of the original model
zchisq	Z-Statistics of chisqorg
pvalzchisq, pvalchisq	P-Values for zchisq, computed via normal distribution and empirical distribution
nsamples	Number of bootstrap samples
lcaiter	Number of LCA Iterations

Author(s)

Andreas Weingessel

References

Anton K. Formann: “Die Latent-Class-Analysis”, Beltz Verlag 1984

See Also

lca

Examples

## Generate a 4-dim. sample with 2 latent classes of 500 data points each.
## The probabilities for the 2 classes are given by type1 and type2.
type1 <- c(0.8, 0.8, 0.2, 0.2)
type2 <- c(0.2, 0.2, 0.8, 0.8)
x <- matrix(runif(4000), nrow = 1000)
x[1:500,] <- t(t(x[1:500,]) < type1) * 1
x[501:1000,] <- t(t(x[501:1000,]) < type2) * 1

l <- lca(x, 2, niter=5)
bl <- bootstrap.lca(l,nsamples=3,lcaiter=5)
bl

e1071 documentation built on Sept. 14, 2024, 3 p.m.