Course Slides for Quantitative Research Methods Using Risk Simulator and ROV BizStats Software

FOURTH EDITION (2021). COURSE SLIDES

RESEARCH BASICS
Research Philosophy, Ontology, Epistemology
Theory, Constructs, Propositions, Logic, Attributes of a Good Theory, Theory Building
Qualitative Research: Case Study, Phenomenology, Field Research, Ethnographic Research, Grounded Theory
Probabilistic & Nonprobabilistic Statistical Sampling
Reliability & Threats to Validity
True & Quasi Experimental Designs
Research Layout

DESCRIPTIVE STATISTICS & MOMENTS
First (Central Tendency), Second (Spread), Third (Skew), & Fourth (Kurtosis)

BASIC PROBABILITY
Bayes' Theorem, Trees, Combinations & Permutations

DISCRETE PROBABILITY DISTRIBUTIONS
PDF, CDF, ICDF, Binomial, Hypergeometric, Poisson, Bernoulli, Discrete Uniform, Geometric, Negative Binomial, Pascal

CONTINUOUS PROBABILITY DISTRIBUTIONS
Arcsine, Beta, Cauchy Lorentzian, Breit Wigner, Chi-Square, Cosine, Double Log, Erlang, Exponential, Extreme Value Gumbel, F Fisher Snedecor, Gamma Erlang, Laplace, Logistic, Lognormal, Normal, Parabolic, Pareto, Pearson V, Pearson VI, PERT, Power, Student's T, Triangular, Uniform, Weibull Rayleigh

HYPOTHESIS TESTING
Classical, Standard, P-Value, & Confidence Interval
Central Limit Theorem
Type I IV Errors, Data Sampling Biases
Data Types & Collection Design

STATISTICAL METHODS
T-Tests: Equal Variance, Unequal Variance, Dependent Means, F-Test, Z-Test
ANOVA Multiple Treatments, ANOVA Randomized Block
Two-Way ANOVA, ANCOVA, MANOVA
Linear & Nonlinear Correlations
Normality Tests & Distributional Fitting: Kolmogorov Smirnov, Chi Square, Akaike Information Criterion, Anderson Darling, Kuiper's Statistic, Schwarz Bayes Criterion, Box Cox Transformation
Nonparametric Tests: Runs, Wilcoxon Signed-Rank, Mann Whitney, Lilliefors, Q-Q, D'Agostino Pearson, Shapiro Wilk Royston Tests, Kruskal Wallis, Mood's Multivariate Medians, Cochran's Q, Friedman's
Inter-Rater & Intra-Rater Reliability, Consistency, Diversity, Internal & External Validity, Predictability
Cohen's Kappa, Cronbach's Alpha, Guttman's Lambda, Inter-Class Correlation (ICC), Kendall's W Concordance, Data Diversity, Shannon Brillouin Simpson Diversity, Homogeneity, Grubbs Outlier, Mahalanobis, Linear & Quadratic Discriminant Analysis, Hannan Quinn, Diebold Mariano, Pesaran Timmermann, Precision, Error Control
Linear & Nonlinear Multivariate Regression
Multicollinearity & Heteroskedasticity
Structural Equation Modeling (SEM), Partial Least Squares (PLS), Path Estimation
Endogeneity, Simultaneous Equations Methods, Two-Stage Least Squares
Granger Causality, Engle Granger Methods
Poisson Regression, Deming Regression, Ordinal Logistic Regression, Ridge Regression, Weighted Regression

FORECASTING AND PREDICTIVE MODELING
Forecasting Techniques
Time-Series Analysis
Stepwise Regression
Stochastic Forecasting
Nonlinear Extrapolation
Box Jenkins ARIMA
J-Curv...