Package: exametrika 1.5.1

exametrika: Test Theory Analysis and Biclustering

Implements comprehensive test data engineering methods as described in Shojima (2022, ISBN:978-9811699856). Provides statistical techniques for engineering and processing test data: Classical Test Theory (CTT) with reliability coefficients for continuous ability assessment; Item Response Theory (IRT) including Rasch, 2PL, and 3PL models with item/test information functions; Latent Class Analysis (LCA) for nominal clustering; Latent Rank Analysis (LRA) for ordinal clustering with automatic determination of cluster numbers; Biclustering methods including infinite relational models for simultaneous clustering of examinees and items without predefined cluster numbers; and Bayesian Network Models (BNM) for visualizing inter-item dependencies. Features local dependence analysis through LRA and biclustering, parameter estimation, dimensionality assessment, and network structure visualization for educational, psychological, and social science research.

Authors:Koji Kosugi [aut, cre]

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exametrika/json (API)
NEWS

# Install 'exametrika' in R:
install.packages('exametrika', repos = c('https://kosugitti.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/kosugitti/exametrika/issues

Datasets:

On CRAN:

Conda:

4.30 score 1 stars 25 scripts 515 downloads 65 exports 12 dependencies

Last updated 6 days agofrom:3b379af569. Checks:9 OK. Indexed: yes.

TargetResultLatest binary
Doc / VignettesOKMar 09 2025
R-4.5-winOKMar 09 2025
R-4.5-macOKMar 09 2025
R-4.5-linuxOKMar 09 2025
R-4.4-winOKMar 09 2025
R-4.4-macOKMar 09 2025
R-4.4-linuxOKMar 09 2025
R-4.3-winOKMar 09 2025
R-4.3-macOKMar 09 2025

Exports:AlphaCoefficientBiclusteringBINETBiserialCorrelationBNMcalcFitIndicesCCRRcrrCSRCTTdataFormatDimensionalityGRMgrm_iifgrm_probIIF2PLMIIF3PLMInterItemAnalysisIRMIRTITBiserialItemEntropyItemFitItemInformationFuncItemLiftItemOddsItemReportItemStatisticsItemThresholdItemTotalCorrJCRRJointSampleSizeJSRLCALDBLDLRALogisticModellongdataFormatLRAMutualInformationnrsOmegaCoefficientpassagepercentilePhiCoefficientpolychoricPolychoricCorrelationMatrixpolyserialRaschModelScoreReportsscorestanineStrLearningGA_BNMStrLearningPBIL_BNMStrLearningPBIL_LDLRAStudentAnalysisTestFitTestFitSaturatedTestInformationFuncTestResponseFuncTestStatisticstetrachoricTetrachoricCorrelationMatrixThreePLMTwoPLM

Dependencies:clicpp11glueigraphlatticelifecyclemagrittrMatrixmvtnormpkgconfigrlangvctrs

Readme and manuals

Help Manual

Help pageTopics
Alpha CoefficientAlphaCoefficient
Alpha Coefficient if Item removedAlphaIfDel
Prior distribution function with guessing parameterasymprior
Biclustering and Ranklustering AnalysisBiclustering
Bicluster Network ModelBINET
Biserial CorrelationBiserialCorrelation
Binary pattern makerBitRespPtn
Bayesian Network ModelBNM
calc Fit IndicescalcFitIndices
Conditional Correct Response RateCCRR CCRR.binary CCRR.default CCRR.nominal
Correct Response Ratecrr crr.binary crr.default
Conditional Selection RateCSR
Classical Test TheoryCTT
dataFormatdataFormat
DimensionalityDimensionality Dimensionality.binary Dimensionality.default Dimensionality.ordinal Dimensionality.rated
Graded Response Model (GRM)GRM
Item Information Function for GRMgrm_iif
Probability function for GRMgrm_prob
IIF for 2PLMIIF2PLM
IIF for 3PLMIIF3PLM
Inter-Item Analysis for Psychometric DataInterItemAnalysis
Infinite Relational ModelIRM
Estimating Item parameters using EM algorithmIRT
Item-Total Biserial CorrelationITBiserial ITBiserial.binary ITBiserial.default
Item EntropyItemEntropy ItemEntropy.binary ItemEntropy.default ItemEntropy.ordinal
Model Fit Functions for ItemsItemFit
IIF for 4PLMItemInformationFunc
Item LiftItemLift ItemLift.binary ItemLift.default
Item OddsItemOdds ItemOdds.binary ItemOdds.default
Generate Item Report for Non-Binary Test DataItemReport
Simple Item StatisticsItemStatistics ItemStatistics.binary ItemStatistics.default ItemStatistics.ordinal
Item ThresholdItemThreshold ItemThreshold.binary ItemThreshold.ordinal
Item-Total CorrelationItemTotalCorr ItemTotalCorr.binary ItemTotalCorr.default ItemTotalCorr.ordinal
J12S5000J12S5000
J15S3810J15S3810
J15S500J15S500
J20S400J20S400
J35S5000J35S5000
J35S515J35S515
J50S100J50S100
J5S10J5S10
J5S1000J5S1000
Joint Correct Response RateJCRR JCRR.binary JCRR.default JCRR.nominal
Joint Sample SizeJointSampleSize JointSampleSize.binary JointSampleSize.default
Joint Selection RateJSR
Latent Class AnalysisLCA
LDparam setLD_param_est
Local Dependence BiclusteringLDB
Local Dependence Latent Rank AnalysisLDLRA
Four-Parameter Logistic ModelLogisticModel
Long Format Data ConversionlongdataFormat
Latent Rank AnalysisLRA LRA.binary LRA.default LRA.ordinal LRA.rated
Utility function for searching DAGmaxParents_penalty
Mutual InformationMutualInformation MutualInformation.binary MutualInformation.default MutualInformation.ordinal
Number Right Scorenrs nrs.binary nrs.default
Log-likelihood function used in the Maximization Step (M-Step).objective_function_IRT
Omega CoefficientOmegaCoefficient
Passage Rate of Studentpassage passage.binary passage.default
Student Percentile Rankspercentile percentile.binary percentile.default
Phi-CoefficientPhiCoefficient PhiCoefficient.binary PhiCoefficient.default
Plot Method for Objects of Class "exametrika"plot.exametrika
Polychoric Correlationpolychoric
Polychoric Correlation MatrixPolychoricCorrelationMatrix PolychoricCorrelationMatrix.default PolychoricCorrelationMatrix.ordinal
Polyserial Correlationpolyserial
Print Method for Exametrika Objectsprint.exametrika
internal functions for PSD of Item parametersPSD_item_params
Rasch ModelRaschModel
Generate Score Report for Non-Binary Test DataScoreReport
Prior distribution function with respect to the slope.slopeprior
softmax functionsoftmax
Standardized Scoresscore sscore.binary sscore.default
Stanine Scoresstanine stanine.binary stanine.default
Structure Learning for BNM by simple GAStrLearningGA_BNM
Structure Learning for BNM by PBILStrLearningPBIL_BNM
Structure Learning for LDLRA by PBIL algorithmStrLearningPBIL_LDLRA
StudentAnalysisStudentAnalysis
parameter transformation target_to_paramstarget_to_params_jac
Model Fit Functions for test wholeTestFit
Model Fit Functions for saturated modelTestFitSaturated
TIF for IRTTestInformationFunc
TRF for IRTTestResponseFunc
Simple Test StatisticsTestStatistics TestStatistics.binary TestStatistics.default TestStatistics.ordinal
Tetrachoric Correlationtetrachoric
Tetrachoric Correlation MatrixTetrachoricCorrelationMatrix TetrachoricCorrelationMatrix.binary TetrachoricCorrelationMatrix.default
Three-Parameter Logistic ModelThreePLM
Two-Parameter Logistic ModelTwoPLM