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TestDesign (version 0.2.3)

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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Install

install.packages('TestDesign')

Monthly Downloads

470

Version

0.2.3

License

GPL (>= 2)

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Maintainer

Seung W. Choi

Last Published

August 28th, 2019

Functions in TestDesign (0.2.3)

RE

Calculate Relative Errors
array_p_1pl

Calculate probability at multiple thetas (1PL)
array_info_pc

Calculate Fisher information at multiple thetas (PC)
calcEscore

Calculate expected scores
calcFisher

Calculate Fisher information
calc_info_FB

Calculate the Fisher information using full Bayesian
array_p_3pl

Calculate probability at multiple thetas (3PL)
ATA

Run Automated Test Assembly
array_p_2pl

Calculate probability at multiple thetas (2PL)
OAT

Launch Shiny app
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
calcHessian

Calculate second derivative of log-likelihood
STA

Perform shadow test assembly
array_info_1pl

Calculate Fisher information at multiple thetas (1PL)
addTrans

Add transparancy to color
eap

Generate expected a posteriori estimates of theta
calc_info

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

Calculate the Fisher information using empirical Bayes
EAP

Generate expected a posteriori estimates of theta
RMSE

Calculate Root Mean Squared Error
calc_posterior

Calculate a posterior value of theta
calcJacobian

Calculate first derivative of log-likelihood
Shadow

Run computerized adaptive testing with generalized shadow-test approach
array_info_gpc

Calculate Fisher information at multiple thetas (GPC)
calcRP

Find matching theta to supplied probability
array_info_gr

Calculate Fisher information at multiple thetas (GR)
calc_log_likelihood_function

Calculate a log-likelihood function of theta
calc_MI_FB

Calculate the mutual information using full Bayesian
calc_log_likelihood

Calculate a log-likelihood value of theta
calc_posterior_function

Calculate a posterior distribution of theta
dataset_reading

Reading dataset
constraint-class

An S4 class to represent a set of constraints
array_p_gpc

Calculate probability at multiple thetas (GPC)
calcLocation

Calculate item location
info_gr

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

An S4 class to represent a generalized partial credit item
calcProb

Calculate item response probabilities
array_p_gr

Calculate probability at multiple thetas (GR)
info_pc

Calculate Fisher information at a single theta (PC)
array_info_2pl

Calculate Fisher information at multiple thetas (2PL)
info_1pl

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

Science dataset
config_Shadow-class

createShadowTestConfig
item_1PL-class

An S4 class to represent a 1PL item
plotExposureRateBySegment

Draw exposure rate plots by theta segment
output_Shadow-class

output_Shadow
p_1pl

Calculate probability at a single theta (1PL)
lnHyperPars

Calculate hyperparameters for log-normal distribution
iparPosteriorSample

Sample item parameter estimates from their posterior distributions
plotExposureRateFinal

Draw exposure rate plots by final theta segment
item_pool.operators

Item pool and pool cluster operators
array_info_3pl

Calculate Fisher information at multiple thetas (3PL)
info_2pl

Calculate Fisher information at a single theta (2PL)
extract-methods

Extract
theta_FB

Calculate a fully Bayesian estimate of theta for an examinee
theta_EB_single

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

Create a subset of an item pool object
simResp

Simulate item responses
array_p_pc

Calculate probability at multiple thetas (PC)
calcDerivative

Calculate first derivative
buildConstraints

Build constraints
calcDerivative2

Calculate second derivative
calc_likelihood

Calculate a likelihood value of theta
calc_likelihood_function

Calculate a likelihood function of theta
config_ATA-class

createStaticTestConfig
logitHyperPars

Calculate hyperparameters for logit-normal distribution
makeItemPoolCluster

Create an item pool cluster object
item_GR-class

An S4 class to represent a graded response item
plotShadow

Draw a shadow test chart
plotExposure

Draw an item exposure plot
MLE

Generate maximum likelihood estimates of theta
plotEligibilityStats

Draw item eligibility statistics plots
plotRMSE

Draw RMSE plots
mle

Generate maximum likelihood estimates of theta
p_2pl

Calculate probability at a single theta (2PL)
calc_posterior_single

Calculate a posterior value of theta for a single item
checkConstraints

Check the consistency of constraints and item usage
test_cluster-class

An S4 class to represent a test cluster
info_3pl

Calculate Fisher information at a single theta (3PL)
item_pool-class

An S4 class to represent an item pool
loadItemPool

Load item paramaters
find_segment

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

An S4 class to represent a partial credit item
theta_EAP

Calculate an EAP estimate of theta for one examinee
loadItemAttrib

Load item attributes
makeTest

Generate a test object
loadConstraints

Load constraints
dataset_fatigue

Fatigue dataset
loadStAttrib

Load set/stimulus/passage attributes
pool_cluster-class

An S4 class to represent a cluster of item pools
makeTestCluster

Generate a test cluster object
saveOutput

Save or print audit trails
info_gpc

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

Update constraints
theta_FB_single

Calculate a fully Bayesian estimate of theta for a single item
p_3pl

Calculate probability at a single theta (3PL)
plotMaxInfo

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

Calculate an empirical Bayes estimate of theta for one examinee
p_gpc

Calculate probability at a single theta (GPC)
plotInfoOverlay

Overlay item information plots
theta_EAP_matrix

Calculate EAP estimates of theta for a group of examinees
p_gr

Calculate probability at a single theta (GR)
plotExposureRateFinalFlag

Draw item information plots for flagged items by segment
plotInfo

Draw item information plots
item_2PL-class

An S4 class to represent a 2PL item
test-class

An S4 class to represent a test
subsetTest

Create a subset of a test object
item_3PL-class

An S4 class to represent a 3PL item
plotCAT

Draw an audit trail plot
p_pc

Calculate probability at a single theta (PC)