Calculates the crossed probabilities associated with the numerator and denominator of the odds-ratio under dichotomous IRT models

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Description

Calculates the crossed probabilities associated with the numerator and denominator of the odds-ratio under dichotomous IRT models

Usage

1
CrossedProbabilities(thetaValue, itemParameters, logistic, irtModel = "3pl")

Arguments

thetaValue

A numeric value or array for the theta (ability) value(s) for which the odds will be calculated

itemParameters

A list containing the "focal" and "reference" item parameters. Item parameters are assumed to be on the same scale.

irtModel

A string stating the irtModel used. May be one of "1pl", "2pl", or "3pl".

logistic

A logical indicating whether the logistic or the normal metric should be used.

Value

out A list containing the crossed products for the 'num' the numerator, 'den' the denominator for the odds-ratio, and 'or' the odds-ratio

Author(s)

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

References

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.

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