# Test Theory Analysis and Biclustering

## Documentation for package ‘exametrika’ version 1.15.0

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

A B C D G I J L M N O P R S T X

## -- A --

AlphaCoefficient | Alpha Coefficient
AlphaIfDel | Alpha Coefficient if Item removed
asymprior | Prior distribution function with guessing parameter

## -- B --

Biclustering | Biclustering and Ranklustering Analysis
Biclustering.binary | Biclustering and Ranklustering Analysis
Biclustering.default | Biclustering and Ranklustering Analysis
Biclustering.nominal | Biclustering and Ranklustering Analysis
Biclustering.ordinal | Biclustering and Ranklustering Analysis
Biclustering.rated | Biclustering and Ranklustering Analysis
Biclustering_IRM | Biclustering with Infinite Relational Model
Biclustering_IRM.binary | Biclustering with Infinite Relational Model
Biclustering_IRM.default | Biclustering with Infinite Relational Model
Biclustering_IRM.nominal | Biclustering with Infinite Relational Model
Biclustering_IRM.ordinal | Biclustering with Infinite Relational Model
Biclustering_IRM.rated | Biclustering with Infinite Relational Model
BINET | Bicluster Network Model
BiserialCorrelation | Biserial Correlation
BitRespPtn | Binary pattern maker
BNM | Bayesian Network Model
BNM_GA | Structure Learning for BNM by simple GA
BNM_PBIL | Structure Learning for BNM by PBIL

## -- C --

calcFitIndices | calc Fit Indices
CCRR | Conditional Correct Response Rate
CCRR.binary | Conditional Correct Response Rate
CCRR.default | Conditional Correct Response Rate
CCRR.nominal | Conditional Correct Response Rate
chatterjee_matrix | Pairwise Chatterjee's xi correlation matrix
chatterjee_xi | Chatterjee's xi correlation coefficient
crr | Correct Response Rate
crr.binary | Correct Response Rate
crr.default | Correct Response Rate
CSR | Conditional Selection Rate
CTT | Classical Test Theory

## -- D --

dataFormat | dataFormat
Dimensionality | Dimensionality
Dimensionality.binary | Dimensionality
Dimensionality.default | Dimensionality
Dimensionality.ordinal | Dimensionality
Dimensionality.rated | Dimensionality
DistractorAnalysis | Distractor Analysis
DistractorAnalysis.LRArated | Distractor Analysis
DistractorAnalysis.ratedBiclustering | Distractor Analysis

## -- G --

Glasso | Graphical Lasso for Gaussian Graphical Models
GridSearch | Grid Search for Optimal Parameters
GRM | Graded Response Model (GRM)
grm_iif | Item Information Function for GRM
grm_prob | Probability function for GRM

## -- I --

IIF2PLM | IIF for 2PLM
IIF3PLM | IIF for 3PLM
InterItemAnalysis | Inter-Item Analysis for Psychometric Data
IRM | IRM (Deprecated)
IRT | Estimating Item parameters using EM algorithm
ITBiserial | Item-Total Biserial Correlation
ITBiserial.binary | Item-Total Biserial Correlation
ITBiserial.default | Item-Total Biserial Correlation
ItemEntropy | Item Entropy
ItemEntropy.binary | Item Entropy
ItemEntropy.default | Item Entropy
ItemEntropy.ordinal | Item Entropy
ItemFit | Model Fit Functions for Items
ItemInformationFunc | IIF for 4PLM
ItemLift | Item Lift
ItemLift.binary | Item Lift
ItemLift.default | Item Lift
ItemOdds | Item Odds
ItemOdds.binary | Item Odds
ItemOdds.default | Item Odds
ItemReport | Generate Item Report for Non-Binary Test Data
ItemStatistics | Simple Item Statistics
ItemStatistics.binary | Simple Item Statistics
ItemStatistics.default | Simple Item Statistics
ItemStatistics.ordinal | Simple Item Statistics
ItemThreshold | Item Threshold
ItemThreshold.binary | Item Threshold
ItemThreshold.ordinal | Item Threshold
ItemTotalCorr | Item-Total Correlation
ItemTotalCorr.binary | Item-Total Correlation
ItemTotalCorr.default | Item-Total Correlation
ItemTotalCorr.ordinal | Item-Total Correlation

## -- J --

J12S5000 | J12S5000
J15S3810 | J15S3810
J15S500 | J15S500
J20S400 | J20S400
J20S600 | J20S600
J21S300 | J21S300
J35S500 | J35S500
J35S5000 | J35S5000
J35S515 | J35S515
J50S100 | J50S100
J5S10 | J5S10
J5S1000 | J5S1000
JCRR | Joint Correct Response Rate
JCRR.binary | Joint Correct Response Rate
JCRR.default | Joint Correct Response Rate
JCRR.nominal | Joint Correct Response Rate
JointSampleSize | Joint Sample Size
JointSampleSize.binary | Joint Sample Size
JointSampleSize.default | Joint Sample Size
JSR | Joint Selection Rate

## -- L --

LCA | Latent Class Analysis
LDB | Local Dependence Biclustering
LDLRA | Local Dependence Latent Rank Analysis
LDLRA_PBIL | Structure Learning for LDLRA by PBIL algorithm
LD_param_est | LDparam set
LogisticModel | Four-Parameter Logistic Model
longdataFormat | Long Format Data Conversion
LRA | Latent Rank Analysis
LRA.binary | Latent Rank Analysis
LRA.default | Latent Rank Analysis
LRA.ordinal | Latent Rank Analysis
LRA.rated | Latent Rank Analysis

## -- M --

maxParents_penalty | Utility function for searching DAG
MutualInformation | Mutual Information
MutualInformation.binary | Mutual Information
MutualInformation.default | Mutual Information
MutualInformation.ordinal | Mutual Information

## -- N --

nrs | Number Right Score
nrs.binary | Number Right Score
nrs.default | Number Right Score

## -- O --

objective_function_IRT | Log-likelihood function used in the Maximization Step (M-Step).
OmegaCoefficient | Omega Coefficient

## -- P --

passage | Passage Rate of Student
passage.binary | Passage Rate of Student
passage.default | Passage Rate of Student
percentile | Student Percentile Ranks
percentile.binary | Student Percentile Ranks
percentile.default | Student Percentile Ranks
PhiCoefficient | Phi-Coefficient
PhiCoefficient.binary | Phi-Coefficient
PhiCoefficient.default | Phi-Coefficient
plot.DistractorAnalysis | Distractor Analysis
plot.exametrika | Plot Method for Objects of Class "exametrika"
polychoric | Polychoric Correlation
PolychoricCorrelationMatrix | Polychoric Correlation Matrix
PolychoricCorrelationMatrix.default | Polychoric Correlation Matrix
PolychoricCorrelationMatrix.ordinal | Polychoric Correlation Matrix
polyserial | Polyserial Correlation
print.DistractorAnalysis | Distractor Analysis
print.exametrika | Print Method for Exametrika Objects
PSD_item_params | internal functions for PSD of Item parameters

## -- R --

RaschModel | Rasch Model

## -- S --

ScoreReport | Generate Score Report for Non-Binary Test Data
slopeprior | Prior distribution function with respect to the slope.
softmax | softmax function
sscore | Standardized Score
sscore.binary | Standardized Score
sscore.default | Standardized Score
stanine | Stanine Scores
stanine.binary | Stanine Scores
stanine.default | Stanine Scores
StrLearningGA_BNM | StrLearningGA_BNM (Deprecated)
StrLearningPBIL_BNM | StrLearningPBIL_BNM (Deprecated)
StrLearningPBIL_LDLRA | StrLearningPBIL_LDLRA (Deprecated)
StudentAnalysis | StudentAnalysis

## -- T --

TestFit | Model Fit Functions for test whole
TestFitSaturated | Model Fit Functions for saturated model
TestInformationFunc | TIF for IRT
TestResponseFunc | TRF for IRT
TestStatistics | Simple Test Statistics
TestStatistics.binary | Simple Test Statistics
TestStatistics.default | Simple Test Statistics
TestStatistics.ordinal | Simple Test Statistics
tetrachoric | Tetrachoric Correlation
TetrachoricCorrelationMatrix | Tetrachoric Correlation Matrix
TetrachoricCorrelationMatrix.binary | Tetrachoric Correlation Matrix
TetrachoricCorrelationMatrix.default | Tetrachoric Correlation Matrix
ThreePLM | Three-Parameter Logistic Model
TwoPLM | Two-Parameter Logistic Model

## -- X --

xi_stable | Bootstrap-averaged Chatterjee's xi