Tau-Equivalent Tests, Likert Scale, Polytomous Test Data Analysis, Reliability Analysis, Item Analysis, Item Difficulty, Item Discrimination, Item-Total Correlation, Distractor/Option Analysis, Dichotomous Test Data Analysis, Split-half (Test-Retest) Reliability, Horn’s Parallel Analysis (PA), Exploratory Factor Analysis, Validity of Psychological Tests, Construct Validity, Content Validity, Multitrait-Multimethod Matrix (MTMM)

The Losgistic Model, The Normal Ogive Model, The Kullback-Leibler Scaling Constant, Item Characteristic Curves (ICC), Estimation of Item Parameters, Item (IIF) and Test (TIF) Information Functions, Latent Trait (ability) or Person Location (Θ) Estimation, Joint Maximum Likelihood Estimation (JMLE), Marginal Maximum Likelihood Estimation (MMLE) for Person Parameters (Θ), Percentile Rank, Conditional Independence, Parameter Invariance, Horn’s Parallel Analysis of Principal Components/Factors, Principal Axis Factoring, Root Mean Squared Difference (RMSD), Differential Item Functioning (DIF)

Linear Algebra with Applications in Statistics, the SWEEP Operator, Cholesky Decomposition, Computational Multivariate Statistics, Multiple Linear Regression, and ANOVA

Numerical analysis, Locating Roots of Equations, The Bisection Method, The Method of False Position (regula falsi), Newton-Raphson Method, Secant Method, Fixed-point iteration, Numerical Integration, Riemann Sums, Trapezoid Rule, Romberg Algorithm, Simpson’s Rule, Adaptive Quadrature, Systems of Linear Equations, Naive Gaussian Elimination, Gaussian Elimination with Scaled Partial Pivoting

Introduction to computational statistics, descriptive statistics, hypothesis testing, t-test, chi-square test, common discrete and continuous probability distributions, Inverse Transform Sampling, Rejection Sampling, Monte Carlo Methods, Antithetic Variates, Importance Sampling, Markov Chain Monte Carlo Methods, Metropolis–Hastings Algorithm, Gibbs Sampling, Root-Mean-Square Difference, Maximum Likelihood Estimation, Expectation Maximization, Multivariate Distributions, Independent and identically distributed random variables, The Box–Muller transform

Data Cleaning & Screening, Query & Manipulation, Data Analysis, Descriptive Statistics, Pearson product-moment correlation coefficient, Homoscedasticity, Spearman’s rank correlation coefficient, Bivariate Linear Regression, Mahalanobis’ Distance, Cook’s Distanece, Chi-square test of goodness of fit, One-sample Kolmogorov-Smirnov test, Chi-square test of independence (cross-tabulation), One-sample t-test, Dependent (paired samples) t-test, Cohen’s d (Effect Size), Wilcoxon signed-rank test, Independent samples t-test, Mann–Whitney U test and Point biserial correlation, One-way ANOVA and Kruskal-Wallis, Omnibus Tests, Bartlett test of homogeneity of variances, Levene’s Test for Homogeneity of Variance, Post-Hoc Tests, Tukey’s HSD (honest significant difference), Kruskal-Wallis one-way analysis of variance