Mantel Haenszel for Item parameter replication

Description

Calculates the Mantel-Haenszel theoretical parameter under IRT assumptions on a list of item parameters such as those produced by the Ipr function

Usage

1
2
3
4
IprMh(itemParameterList, irtModel = "2pl", focalDistribution = "norm",
  focalDistrExtra = list(mean = 0, sd = 1), referenceDistribution = "norm",
  referenceDistrExtra = list(mean = 0, sd = 1), groupRatio = 1,
  subdivisions = 5000, logistic = TRUE)

Arguments

itemParameterList

A list where each element is a list containing "focal" and "reference" item Parameters. Item parameters are assumed to be on the same scale. Item parameters for each group should be a matrix with nrow equal to the number of items

irtModel

A string stating the irtModel to be used. Should be one of "1pl", "2pl", "3pl", "grm" or "pcm".

focalDistribution

A string stating the distribution assumed for the focal group.

focalDistrExtra

A list stating the extra parameters needed by the focal distribution function.

referenceDistribution

A string stating the distribution assumed for the reference group.

referenceDistrExtra

A list stating the extra parameters needed by the reference distribution function.

groupRatio

A positive value indicating how many members of the reference group are expected for each member of the focal group.

subdivisions

A numeric value indicating the number of subdivisions for numerical integration.

logistic

A logical value stating if the IRT model will use the logistic or the normal metric. Defaults to using the logistic metric by fixing the D constant to 1. If FALSE the constant is set to 1.702 so that the normal metric is used.

Value

mh A numeric matrix with the Mantel Haenszel values for all the item parameter in each set of itemParameterList

Author(s)

Victor H. Cervantes <vcervantes at icfes.gov.co> <vhcervantesb at unal.edu.co>

References

Oshima, T., Raju, N. & Nanda, A. (2006). A new method for assessing the statistical significance in the Differential Functioning of Items and Tests (DFIT) framework. Journal of educational measurement, 43(1), 1–17.

Roussos, L., Schnipke, D. & Pashley, P. (1999). A generalized formula for the Mantel-Haenszel Differential Item Functioning parameter. Journal of educational and behavioral statistics, 24(3), 293–322.

Examples

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
# # Not run
# #
# # data(dichotomousItemParameters)
# # threePlAse <- list()
# # threePlAse[['focal']] <- AseIrt(itemParameters = dichotomousItemParameters[['focal']],
# #                                 logistic = TRUE, sampleSize = 500, irtModel = '3pl')
# # threePlAse[['reference']] <- AseIrt(itemParameters = dichotomousItemParameters[['reference']],
# #                                     logistic = TRUE, sampleSize = 500, irtModel = '3pl')
# # threePlIpr <- Ipr(itemParameters = dichotomousItemParameters, itemCovariances = threePlAse,
# #                   nReplicates = 1000)
# # threePlMhIpr <- IprMh(itemParameterList = threePlIpr, irtModel = '3pl', logistic = TRUE)

Want to suggest features or report bugs for rdrr.io? Use the GitHub issue tracker.