Topics

Topics (GWU EMSE-271 Data Analysis for Engineers and Scientists)
Index | Topics (Logical Lectures) | Lectures | Problems | Readings | Nomenclature | Concepts

[|Van Dorp Web Site]

STATISTICAL REVIEW including UNIVARIATE ANALYSIS //UNIVARIATE ANALYSIS//
 * Exploratory Data Analysis | Probability Calculus ( Bayes ) | Random Variables
 * Distribution Theory | Calculating Probabilities | Sums of Random Variables |
 * Point-Estimation | Estimator Distributions | Confidence Intervals | Hypothesis Testing | Goodness-Of-Fit | Method-of-Moments | Maximum Likelihood Estimation
 * [ null hypothesis | acceptance and rejection terminology | Type I and Type II errors | p-value ]
 * Chi-Squared Goodness-of-Fit | Credibility Intervals | Two Sample Hypothesis Testing | Joint Normal Distribution
 * Anderson-Darling Goodness-of-Fit Test

MATRICES AND VECTORS (Matrix-Vector Alegbra) - TBD - Describing Vector Observations | Matrix Algebra | Linear Combinations | Coordinate Systems | Singular Value Decomposition

MULTIVARIATE ANALYSIS

- TBD - Joint Normal Distribution | Multivariate Point Estimation | Matrix Determinant | Geometric Interpretation | Hotelling T2 Hypothesis Test | Hotelling T2 Sample Mean Test

- ASIDE: Lattin Overview (Introduction | Regression | Principal Components | Factor Analysis | Multidimensional Scaling | Clustering | Canonical Correlation | Structured Equation Models with Latent Variables | Analysis of Variance | Discriminant Analysis | Logit Choice Models}

- Regression Analysis

- Principal Component Analysis (PCA)

- Analysis of Variance ANOVA:

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