Package 'IMTest'

Title: Information Matrix Test for Generalized Partial Credit Models
Description: Implementation of the information matrix test for generalized partial credit models.
Authors: Daphna Harel [cre, aut]
Maintainer: Daphna Harel <[email protected]>
License: GPL (>= 2)
Version: 1.0.0
Built: 2024-12-23 06:46:47 UTC
Source: CRAN

Help Index


Collapses data for a given collapsing function

Description

Collapses data for a given collapsing function

Usage

collapse_data(data, collapse, constraint)

Arguments

data

A dataset with J columns and n rows.

collapse

A list of length J indicating the scoring function to collapse from.

constraint

Constraint is either "rasch" or "gpcm" depending on which parameter constraints should be run.

Value

A list containing the collapsed data and a indicator vector for which parameters to test with the IMT. If no collapsing has occurred, the default indicator vector tests all parameters of the last item.

Examples

data(dataset)
collapse = split(rep(c(1:4), 10), rep(1:10, each = 4))
my_data = collapse_data(dataset, collapse, "rasch")
# See vignette("IMT-vignette") for more examples.

Synthetic dataset of 1000 responses to 10 items, each with four categories, generated from a Partial Credit Model.

Description

Synthetic dataset of 1000 responses to 10 items, each with four categories, generated from a Partial Credit Model.

Usage

dataset

Format

An object of class data.frame with 1000 rows and 10 columns.


Table with GH points

Description

Table with GH points

Usage

gh

Format

An object of class list of length 101.

Source

ltm package


Runs the GPCM model for use in the Information Matrix Test.

Description

Runs the GPCM model for use in the Information Matrix Test.

Usage

gpcm_IMT(data, constraint = c("gpcm", "1PL", "rasch"), IRT.param = TRUE,
  start.val = NULL, na.action = NULL, control = list())

Arguments

data

A dataset with J columns and n rows.

constraint

Constraint is either "1PL", "rasch" or "gpcm" depending on which parameter constraints should be run.

IRT.param

logical; if TRUE then the usual IRT parametrization is used.

start.val

If not Null, a list of starting values for the parameter estimates

na.action

the na.action to be used on the data

control

See gpcm function in ltm package for details.

Value

A GPCM object.

Examples

data(dataset)
model = gpcm_IMT(dataset, constraint = "rasch")
# See vignette("IMT-vignette") for more examples

Runs information matrix test for an information matrix test GPCM model.

Description

Runs information matrix test for an information matrix test GPCM model.

Usage

IMT(mod, constraint, R, ind_vec)

Arguments

mod

An IMT GPCM model.

constraint

Constraint is either "rasch" or "gpcm".

R

number of iterations for simulation of the variance-covariance matrix.

ind_vec

Vector of 0's and 1's for item-level parameters to be tested in the information matrix test.

Value

A list containing the information matrix test statistic and the associated degrees of freedom.

Examples

data(dataset)
collapse = split(rep(c(1:4), 10), rep(1:10, each = 4))
my_data = collapse_data(dataset, collapse, "rasch")
model = gpcm_IMT(my_data$data, constraint = "rasch")

test_fit = IMT(model, "rasch", R = 5000, my_data$ind)
#This line of code takes longer than 10 seconds to run
pvalue = pchisq(test_fit$Tstat, test_fit$df, lower.tail = FALSE)

# See vignette("IMT-vignette") for more examples