pistar.2by2: The Mixture Index of Fit for Odds Ratios in 2-by-2 Tables

In jmedzihorsky/pistar: Rudas, Clogg and Lindsay Mixture Index of Fit

The Mixture Index of Fit for Odds Ratios in 2-by-2 Tables

Description

pistar.2by2 is used to estimate pi* for a given cross-product ratio (i.e. odds ratio) in a 2-by-2 table using the method devised by Clogg, Rudas, and Xi (1995).

Usage

pistar.2by2(data, alpha = 1, jack = FALSE, verbose = TRUE)

Arguments

data	a 2-by-2 contingency table.
alpha	numeric: cross-product ratio
jack	logical: perform jackknife?
verbose	logical: print during estimation?

Value

Object of class "Pistar", "PistarCT", and "Pistar2by2" with the following slots:

call	the matched call.
pistar	a list of estimated values of the mixture index of fit. est for the supplied data and odds ratio. jack vector of values from jackknife.
pred	a list of predicted values with three items: model the model component multiplied by (1-pi*) unres the unrestricted component multiplied by pi* combi the two-point mixture, i.e. (1-pi*)M + pi*U
data	the supplied data.
param	a list of with a single item est numeric: the supplied value of cross-product ratio.

References

Clogg, C. C., Rudas, T., & Xi, L. (1995). A new index of structure for the analysis of models for mobility tables and other cross-classifications. Sociological Methodology, 197-222.

Rudas. T., Zwick. R., (1997) Estimating the Importance of Differential Item Functioning. Journal of Educational and Behavioral Statistics, Vol. 22, No. 1 (Spring, 1997), pp. 31-45

Examples

	H <- matrix((1:4)*1e1, byrow=TRUE, ncol=2)

	h <- pistar.2by2(H, alpha=1, jack=TRUE)

	h

	str(h)

	plot(h)

	summary(h)

jmedzihorsky/pistar documentation built on June 4, 2022, 9:58 a.m.