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

Description Usage Arguments Value Author(s) References See Also Examples

Description

This function does inference for the χ^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

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micombine.chisquare(dk, df, display = TRUE, version=1)

Arguments

dk

Vector of chi square statistics

df

Degrees of freedom of χ^2 statistic

display

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

version

Integer indicating which calculation formula should be used. The default version=1 refers to the correct formula as in Enders (2010), while version=0 uses an incorrect formula as printed in Allison (2001). The incorrect calculation version=0 was included in miceadds versions smaller than version 2.0. See also http://statisticalhorizons.com/wp-content/uploads/2012/01/combchi.sas.

Value

A vector with following entries

D

Combined D_2 statistic which is approximately F-distributed with (df, df2) degrees of freedom

p

The p value corresponding to D

df

Denominator degrees of freedom

df2

Numerator degrees of freedom

Author(s)

Alexander Robitzsch

References

Allison, P. D. (2002). Missing data. Newbury Park, CA: Sage.

Enders, C. K. (2010). Applied missing data analysis. Guilford Press.

See Also

See also mice::pool.compare for a Wald test to compare two fitted models in the mice package.

Examples

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#############################################################################
# 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 


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