micombine.chisquare: Combination of Chi Square Statistics of Multiply Imputed Datasets

Description

This function does inference for the $\chi^2$ statistic based on multiply imputed datasets (see e.g. Enders, 2010, p. 239 ff.; Allison, 2002). This function is also denoted as the $D_2$ statistic.

Usage

micombine.chisquare(dk, df, display = TRUE)

Arguments

Vector of chi square statistics

Degrees of freedom of $\chi^2$ statistic

display

An optional logical indicating whether results should be printed at the Rconsole.

Value

A vector with following entries
DCombined $D_2$ statistic which is approximately $F$-distributed with (df, df2) degrees of freedom
pThe p value corresponding to D
dfDenominator degrees of freedom
df2Numerator degrees of freedom
chisq.approxChi square approximation of the $D_2$ statistic
p.approxThe p value corresponding to the $D_2$ statistic

References

Allison, P. D. (2002). Missing data. Newbury Park, CA: Sage. Enders, C. K. (2010). Applied missing data analysis. Guilford Press.

Examples

Run this code

#############################################################################
# EXAMPLE 1: Chi square values of analyses from 7 multiply imputed datasets
#############################################################################

# Vector of 7 chi square statistics
dk <- c(24.957,18.051,18.812,17.362,21.234,18.615,19.84)
dk.comb <- micombine.chisquare(dk=dk, df=4 )
##   Combination of Chi Square Statistics for Multiply Imputed Data
##   Using 7 Imputed Data Sets
##   F(4,594.01)=4.486     p=0.00141 
##   Chi Square Approximation Chi2(4)=17.946     p=0.00126