est3pl {equateIRT} | R Documentation |
Item Parameter Estimates and Covariance Matrices of a Three-Parameter Logistic Model
Description
This dataset includes item parameter estimates and covariance matrices of a three-parameter logistic model applied to 5 simulated datasets with common items. See details for more information on the linkage plan.
Usage
data(est3pl)
Format
A list of length 2 with components:
coef
a list of length 5 containing the matrices of item parameter estimates. Each matrix presents 3 columns; the first column contains guessing parameters, the second column contains difficulty parameters and the third column contains discrimination parameters. See details for information on the parameterization used. Names of rows correspond to the names of the items.
var
a list of length 5 containing the covariance matrices of item parameter estimates.
Details
Every form is composed by 20 items and presents 10 items in common
with adjacent forms. Furthermore, forms 1 and 5 present 10 common items.
Use linkp
to obtain a matrix with elements equal to the
number of common items between different forms.
Item parameters are given under the parameterization used in the ltm
package.
Under this parameterization, the three-parameter logistic model is as follows
where
denotes the conditional probability of responding correctly to the
th item given
,
denotes the guessing parameter,
is the easiness parameter,
is the discrimination parameter, and
denotes the
latent ability.
Furthermore, the guessing parameters are given under this parameterization
Author(s)
Michela Battauz
See Also
Examples
data(est3pl)
est3pl$coef
est3pl$var
linkp(coef = est3pl$coef)