Calculates the asymptotic covariance matrix of item parameter estimates under the 3pl model

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Description

Calculates the asymptotic covariance matrix of item parameter estimates under the 3pl model

Usage

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Ase3pl(itemParameters, distribution = "norm",
  distributionParameters = list(mean = 0, sd = 1), logistic = TRUE,
  sampleSize = 1, subdivisions = 5000)

Arguments

itemParameters

A matrix or vector containing the item difficulties.

distribution

A string character indicating the generic name for the assumed distribution.

distributionParameters

A list of extra parameters for the distribution function.

logistic

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

sampleSize

A value indicating the sample size.

subdivisions

A numeric value stating the maximum number of subdivisions for adaptive quadrature.

Value

ase A list containing the asymptotic matrices for each item

Author(s)

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

References

Li, Y. & Lissitz, R. (2004). Applications of the analytically derived standard errors of Item Response Theory item parameter estimates. Journal of educational measurement, 41(2), 85–117.

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