Package index • exametrika

Data Preparation

Functions for formatting and preparing test data

dataFormat(): dataFormat
longdataFormat(): Long Format Data Conversion

Descriptive Statistics

Item-level and test-level descriptive statistics

TestStatistics(): Simple Test Statistics
ItemStatistics(): Simple Item Statistics
ItemReport(): Generate Item Report for Non-Binary Test Data
ScoreReport(): Generate Score Report for Non-Binary Test Data
StudentAnalysis(): StudentAnalysis

Classical Test Theory

CTT reliability and item analysis

CTT(): Classical Test Theory
AlphaCoefficient(): Alpha Coefficient
OmegaCoefficient(): Omega Coefficient
Dimensionality(): Dimensionality

Item Analysis

Item-level analysis functions

ItemFit(): Model Fit Functions for Items
ItemTotalCorr(): Item-Total Correlation
ItemEntropy(): Item Entropy
ItemThreshold(): Item Threshold
ItemLift(): Item Lift
ItemOdds(): Item Odds
ITBiserial(): Item-Total Biserial Correlation
InterItemAnalysis(): Inter-Item Analysis for Psychometric Data

Test-level Analysis

Test-level fit and response functions

TestFit(): Model Fit Functions for test whole
TestFitSaturated(): Model Fit Functions for saturated model
TestResponseFunc(): TRF for IRT
TestInformationFunc(): TIF for IRT

Correlation Measures

Correlation and association measures

BiserialCorrelation(): Biserial Correlation
TetrachoricCorrelationMatrix(): Tetrachoric Correlation Matrix
PolychoricCorrelationMatrix(): Polychoric Correlation Matrix
PhiCoefficient(): Phi-Coefficient
MutualInformation(): Mutual Information
tetrachoric(): Tetrachoric Correlation
polychoric(): Polychoric Correlation
polyserial(): Polyserial Correlation

Item Response Theory

IRT models for binary and polytomous data

IRT(): Estimating Item parameters using EM algorithm
GRM(): Graded Response Model (GRM)
RaschModel(): Rasch Model
TwoPLM(): Two-Parameter Logistic Model
ThreePLM(): Three-Parameter Logistic Model
LogisticModel(): Four-Parameter Logistic Model
IIF2PLM(): IIF for 2PLM
IIF3PLM(): IIF for 3PLM
ItemInformationFunc(): IIF for 4PLM
grm_prob(): Probability function for GRM
grm_iif(): Item Information Function for GRM

Latent Class / Rank Analysis

LCA and LRA for classification of examinees

LCA(): Latent Class Analysis
LRA(): Latent Rank Analysis

Biclustering

Simultaneous clustering of items and examinees

Biclustering(): Biclustering and Ranklustering Analysis
Biclustering_IRM(): Biclustering with Infinite Relational Model
GridSearch(): Grid Search for Optimal Parameters

Bayesian Network Models

Network models and structure learning

BNM(): Bayesian Network Model
BNM_GA(): Structure Learning for BNM by simple GA
BNM_PBIL(): Structure Learning for BNM by PBIL

Local Dependence Models

Models combining latent structure with item dependencies

LDLRA(): Local Dependence Latent Rank Analysis
LDLRA_PBIL(): Structure Learning for LDLRA by PBIL algorithm
LDB(): Local Dependence Biclustering
BINET(): Bicluster Network Model

Scoring Functions

Scoring and scaling functions

crr(): Correct Response Rate
nrs(): Number Right Score
passage(): Passage Rate of Student
percentile(): Student Percentile Ranks
sscore(): Standardized Score
stanine(): Stanine Scores
CSR(): Conditional Selection Rate
JSR(): Joint Selection Rate
CCRR(): Conditional Correct Response Rate
JCRR(): Joint Correct Response Rate
JointSampleSize(): Joint Sample Size

Model Fit

Model fit index computation

calcFitIndices(): calc Fit Indices

Deprecated

Functions deprecated since v1.5.0 (to be removed in v2.0.0)

IRM(): IRM (Deprecated)
StrLearningGA_BNM(): StrLearningGA_BNM (Deprecated)
StrLearningPBIL_BNM(): StrLearningPBIL_BNM (Deprecated)
StrLearningPBIL_LDLRA(): StrLearningPBIL_LDLRA (Deprecated)

S3 Methods

Plot and print methods for exametrika objects

plot(<exametrika>): Plot Method for Objects of Class "exametrika"
print(<exametrika>): Print Method for Exametrika Objects

Internal

Internal helper functions (not intended for direct use)

AlphaIfDel(): Alpha Coefficient if Item removed
BitRespPtn(): Binary pattern maker
LD_param_est(): LDparam set
PSD_item_params(): internal functions for PSD of Item parameters
asymprior(): Prior distribution function with guessing parameter
maxParents_penalty(): Utility function for searching DAG
objective_function_IRT(): Log-likelihood function used in the Maximization Step (M-Step).
slopeprior(): Prior distribution function with respect to the slope.
softmax(): softmax function

Sample Datasets

Included datasets for examples and testing

J5S10: J5S10
J5S1000: J5S1000
J12S5000: J12S5000
J15S500: J15S500
J15S3810: J15S3810
J20S400: J20S400
J20S600: J20S600
J35S500: J35S500
J35S515: J35S515
J35S5000: J35S5000
J50S100: J50S100