Exploring Data
Measures of Centrality and Dispersion
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Graphical Procedures
Histograms, Boxplots, Ogives
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Probability
and Random Variables
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Probability Distributions
Discrete and Continuous probability Distributions. Compound and Mixed Probability Distributions
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Testing Distributional Assumptions
Testing Normality and Outlier Detection
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Inference Procedures
Confidence Intervals and Hypothesis Testing
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Bivariate Data
Correlation Coefficients & Hypothesis Tests, Chi Square Test for Independence
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Linear Models
Simple and Multiple Linear Regression Models, Residual Analysis, Regression ANOVA
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Discrete Random Variables
Expectations and variance of discrete random variables, Joint Distribution of discrete random variables
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Continuous Random Variables
Expectations and variance of continuous random variables
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More on Random Variables
Moment Generating Functions, Cumulant Generating Functions
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Random Number Generation
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Game Theory and Decision Theory
Matrix Games
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Experimental Design
ANOVA Procedures, Testing Model Assumptions
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Survival Analysis
Non parametric approaches, Cox proportional hazard models
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Statistical Process Control
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Time Series Analysis
Time Series
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