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TestDesign (version 1.0.0)

Optimal Test Design Approach to Fixed and Adaptive Test Construction

Description

Use the optimal test design approach by Birnbaum (1968, ISBN:9781593119348) and van der Linden (2018) in constructing fixed and adaptive tests. Supports the following mixed-integer programming (MIP) solver packages: 'lpsymphony', 'Rsymphony', 'gurobi', 'lpSolve', and 'Rglpk'. The 'gurobi' package is not available from CRAN; see . See vignette for installing 'Rsymphony' package on Mac systems.

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Install

install.packages('TestDesign')

Monthly Downloads

470

Version

1.0.0

License

GPL (>= 2)

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Maintainer

Seung W. Choi

Last Published

November 4th, 2019

Functions in TestDesign (1.0.0)

calc_log_likelihood

Calculate a log-likelihood value of theta
array_p_gr

Calculate probability at multiple thetas (GR)
RMSE

Calculate Root Mean Squared Error
Shadow

Run adaptive test assembly.
calcDerivative

Calculate first derivative
calcFisher

Calculate Fisher information
item_1PL-class

An S4 class to represent a 1PL item
config_Shadow-class

createShadowTestConfig
output_Shadow-class

output_Shadow
iparPosteriorSample

Sample item parameter estimates from their posterior distributions
MLE

Generate maximum likelihood estimates of theta
plotExposure

Draw an item exposure plot
constraints-class

An S4 class to represent a set of constraints
array_info_gr

Calculate Fisher information at multiple thetas (GR)
array_info_pc

Calculate Fisher information at multiple thetas (PC)
plotExposureRateBySegment

Draw exposure rate plots by theta segment
array_p_pc

Calculate probability at multiple thetas (PC)
pool_cluster-class

An S4 class to represent a cluster of item pools
calcDerivative2

Calculate second derivative
array_info_1pl

Calculate Fisher information at multiple thetas (1PL)
calcHessian

Calculate second derivative of log-likelihood
checkConstraints

Check the consistency of constraints and item usage
calc_log_likelihood_function

Calculate a log-likelihood function of theta
calc_posterior

Calculate a posterior value of theta
calcEscore

Calculate expected scores
calcRP

Find matching theta to supplied probability
calcProb

Calculate item response probabilities
runAssembly

Run Test Assembly
dataset_reading

Reading dataset
calc_posterior_function

Calculate a posterior distribution of theta
extract-methods

Extract
eap

Generate expected a posteriori estimates of theta
calc_MI_FB

Calculate the mutual information using full Bayesian
calc_info

Calculate the Fisher information matrix for a single theta value and a set of items, potentially with a mixture of different models
EAP

Generate expected a posteriori estimates of theta
calc_posterior_single

Calculate a posterior value of theta for a single item
array_info_2pl

Calculate Fisher information at multiple thetas (2PL)
find_segment

Find the segment to which each theta value belongs
constraint-class

An S4 class to represent a single constraint
item_3PL-class

An S4 class to represent a 3PL item
makeTest

Generate a test object
info_pc

Calculate Fisher information at a single theta (PC)
makeItemPoolCluster

Create an item pool cluster object
info_gr

Calculate Fisher information at a single theta (GR).
item_2PL-class

An S4 class to represent a 2PL item
loadStAttrib

Load set/stimulus/passage attributes
lnHyperPars

Calculate hyperparameters for log-normal distribution
loadConstraints

Load constraints
plotCAT

Draw an audit trail plot
dataset_science

Science dataset
theta_EAP

Calculate an EAP estimate of theta for one examinee
p_gr

Calculate probability at a single theta (GR)
p_pc

Calculate probability at a single theta (PC)
calc_info_matrix

Calculate the Fisher information matrix for a vector of theta values and a set of items, potentially with a mixture of different models
test_cluster-class

An S4 class to represent a test cluster
plotInfo

Draw item information plots
logitHyperPars

Calculate hyperparameters for logit-normal distribution
plotEligibilityStats

Draw item eligibility statistics plots
info_3pl

Calculate Fisher information at a single theta (3PL)
plotExposureRateFinal

Draw exposure rate plots by final theta segment
plotExposureRateFinalFlag

Draw item information plots for flagged items by segment
info_gpc

Calculate Fisher information at a single theta (GPC).
theta_EB

Calculate an empirical Bayes estimate of theta for one examinee
theta_EAP_matrix

Calculate EAP estimates of theta for a group of examinees
plotInfoOverlay

Overlay item information plots
calc_likelihood

Calculate a likelihood value of theta
item_PC-class

An S4 class to represent a partial credit item
item_pool-class

An S4 class to represent an item pool
st_attrib-class

An S4 class to represent a set of constraints.
item_attrib-class

An S4 class to represent a set of constraints.
theta_EB_single

Calculate an empirical Bayes estimate of theta for a single item
item_pool.operators

Item pool and pool cluster operators
saveOutput

Save or print audit trails
p_1pl

Calculate probability at a single theta (1PL)
p_2pl

Calculate probability at a single theta (2PL)
simResp

Simulate item responses
subsetItemPool

Create a subset of an item pool object
updateConstraints

Update constraints
theta_FB_single

Calculate a fully Bayesian estimate of theta for a single item
makeTestCluster

Generate a test cluster object
plotRMSE

Draw RMSE plots
plotShadow

Draw a shadow test chart
mle

Generate maximum likelihood estimates of theta
theta_FB

Calculate a fully Bayesian estimate of theta for an examinee
Static

Run Static Test Assembly
addTrans

Add transparancy to color
array_p_3pl

Calculate probability at multiple thetas (3PL)
array_p_gpc

Calculate probability at multiple thetas (GPC)
calcJacobian

Calculate first derivative of log-likelihood
calcLocation

Calculate item location
config_Static-class

createStaticTestConfig
calc_info_FB

Calculate the Fisher information using full Bayesian
calc_info_EB

Calculate the Fisher information using empirical Bayes
dataset_fatigue

Fatigue dataset
info_2pl

Calculate Fisher information at a single theta (2PL)
item_GR-class

An S4 class to represent a graded response item
info_1pl

Calculate Fisher information at a single theta (1PL)
item_GPC-class

An S4 class to represent a generalized partial credit item
loadItemAttrib

Load item attributes
loadItemPool

Load item paramaters
p_gpc

Calculate probability at a single theta (GPC)
p_3pl

Calculate probability at a single theta (3PL)
subsetTest

Create a subset of a test object
test-class

An S4 class to represent a test
buildConstraints

Build constraints
array_info_gpc

Calculate Fisher information at multiple thetas (GPC)
array_info_3pl

Calculate Fisher information at multiple thetas (3PL)
OAT

Launch Shiny app
array_p_1pl

Calculate probability at multiple thetas (1PL)
array_p_2pl

Calculate probability at multiple thetas (2PL)
RE

Calculate Relative Errors
calc_likelihood_function

Calculate a likelihood function of theta