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TestDesign (version 0.2.2)

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: '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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Version

Install

install.packages('TestDesign')

Monthly Downloads

470

Version

0.2.2

License

GPL (>= 2)

Maintainer

Seung W. Choi

Last Published

August 20th, 2019

Functions in TestDesign (0.2.2)

array_info_3pl

Calculate Fisher information at multiple thetas (3PL)
STA

Perform shadow test assembly
array_info_2pl

Calculate Fisher information at multiple thetas (2PL)
Shadow

Run computerized adaptive testing with generalized shadow-test approach
array_info_gpc

Calculate Fisher information at multiple thetas (GPC)
array_info_gr

Calculate Fisher information at multiple thetas (GR)
OAT

Launch Shiny app
array_p_1pl

Calculate probability at multiple thetas (1PL)
ATA

Run Automated Test Assembly
array_info_pc

Calculate Fisher information at multiple thetas (PC)
addTrans

Add transparancy to color
calc_info_EB

Calculate the Fisher information using empirical Bayes
calc_info

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

Calculate probability at multiple thetas (PC)
buildConstraints

Build constraints
array_info_1pl

Calculate Fisher information at multiple thetas (1PL)
calcHessian

Calculate second derivative of log-likelihood
calcProb

Calculate item response probabilities
calcLocation

Calculate item location
calc_likelihood

Calculate a likelihood value of theta
calcJacobian

Calculate first derivative of log-likelihood
calc_MI_FB

Calculate the mutual information using full Bayesian
eap

Generate expected a posteriori estimates of theta
calcRP

Find matching theta to supplied probability
calc_likelihood_function

Calculate a likelihood function of theta
array_p_gpc

Calculate probability at multiple thetas (GPC)
array_p_gr

Calculate probability at multiple thetas (GR)
MLE

Generate maximum likelihood estimates of theta
info_pc

Calculate Fisher information at a single theta (PC)
p_gr

Calculate probability at a single theta (GR)
config_Shadow-class

createShadowTestConfig
p_gpc

Calculate probability at a single theta (GPC)
info_gr

Calculate Fisher information at a single theta (GR).
mle

Generate maximum likelihood estimates of theta
constraint-class

An S4 class to represent a set of constraints
calc_info_FB

Calculate the Fisher information using full Bayesian
EAP

Generate expected a posteriori estimates of theta
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
simResp

Simulate item responses
theta_EB

Calculate an empirical Bayes estimate of theta for one examinee
subsetItemPool

Create a subset of an item pool object
theta_EAP_matrix

Calculate EAP estimates of theta for a group of examinees
calcEscore

Calculate expected scores
RE

Calculate Relative Errors
array_p_2pl

Calculate probability at multiple thetas (2PL)
RMSE

Calculate Root Mean Squared Error
array_p_3pl

Calculate probability at multiple thetas (3PL)
loadConstraints

Load constraints
plotEligibilityStats

Draw item eligibility statistics plots
makeItemPoolCluster

Create an item pool cluster object
loadItemAttrib

Load item attributes
logitHyperPars

Calculate hyperparameters for logit-normal distribution
calcDerivative

Calculate first derivative
calc_posterior_single

Calculate a posterior value of theta for a single item
calc_log_likelihood

Calculate a log-likelihood value of theta
calcDerivative2

Calculate second derivative
calc_log_likelihood_function

Calculate a log-likelihood function of theta
info_gpc

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

Fatigue dataset
config_ATA-class

createStaticTestConfig
info_3pl

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

Sample item parameter estimates from their posterior distributions
calcFisher

Calculate Fisher information
item_PC-class

An S4 class to represent a partial credit item
item_1PL-class

An S4 class to represent a 1PL item
info_1pl

Calculate Fisher information at a single theta (1PL)
checkConstraints

Check the consistency of constraints and item usage
calc_posterior

Calculate a posterior value of theta
dataset_reading

Reading dataset
calc_posterior_function

Calculate a posterior distribution of theta
dataset_science

Science dataset
makeTest

Generate a test object
item_pool-class

An S4 class to represent an item pool
makeTestCluster

Generate a test cluster object
extract-methods

Extract
plotExposure

Draw an item exposure plot
item_2PL-class

An S4 class to represent a 2PL item
p_2pl

Calculate probability at a single theta (2PL)
test_cluster-class

An S4 class to represent a test cluster
p_3pl

Calculate probability at a single theta (3PL)
theta_EAP

Calculate an EAP estimate of theta for one examinee
item_3PL-class

An S4 class to represent a 3PL item
loadItemPool

Load item paramaters
lnHyperPars

Calculate hyperparameters for log-normal distribution
item_pool.operators

Item pool and pool cluster operators
info_2pl

Calculate Fisher information at a single theta (2PL)
p_1pl

Calculate probability at a single theta (1PL)
output_Shadow-class

output_Shadow
plotInfoOverlay

Overlay item information plots
plotExposureRateFinalFlag

Draw item information plots for flagged items by segment
plotExposureRateBySegment

Draw exposure rate plots by theta segment
plotExposureRateFinal

Draw exposure rate plots by final theta segment
plotMaxInfo

Draw a plot of maximum attainable information given the imposed constraints
loadStAttrib

Load set/stimulus/passage attributes
pool_cluster-class

An S4 class to represent a cluster of item pools
plotCAT

Draw an audit trail plot
p_pc

Calculate probability at a single theta (PC)
theta_FB_single

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

Save or print audit trails
test-class

An S4 class to represent a test
subsetTest

Create a subset of a test object
plotInfo

Draw item information plots
item_GPC-class

An S4 class to represent a generalized partial credit item
find_segment

Find the segment to which each theta value belongs
plotRMSE

Draw RMSE plots
item_GR-class

An S4 class to represent a graded response item
plotShadow

Draw a shadow test chart
theta_EB_single

Calculate an empirical Bayes estimate of theta for a single item
theta_FB

Calculate a fully Bayesian estimate of theta for an examinee
updateConstraints

Update constraints