Contents

• List of Tables
• List of Figures
• First Meeting
  • Lecture Information
  • Overview
  • Text Book
  • Grading Criteria & Policies
  • Introduction to Statistics and Data Analysis
  • Overview
  • Role of Probability
  • Sampling Procedures
  • Measures of Location: Sample Mean and Median
  • Measures of Variability
  • Discrete and Continuous Data
  • Statistical Modeling, Scientific Inspection, and Graphical Diagnostics
  • Graphical Methods and Data Description
  • General Types of Statistical Studies
  • Exercise Set I
  
  
• Probability
  • Sample Space
  • Events
  • Counting Sample Points
  • Probability of Event
  • Additive Rules
  • Conditional Probability
  • Multiplicative Rules
  • Bayes'Rules
  • Exercise Set II
  
  
• Random Variables and Probability Distributions
  • Concept of a Random Variable
  • Discrete Probability Distributions
  • Continuous Probability Distributions
  • Joint Probability Distribution
  • Exercise Set III
  
  
• Mathematical Expectation
  • Mean of a Random Variable
  • Variance and Covariance
  • Means and Variance of Linear Combinations of Random Variables
  • Chebyshev's Theorem
  • Exercise Set IV
  
  
• Some Discrete Probability Distributions
  • Introduction and Motivation
  • Discrete Uniform Distribution
  • Binomial and Multinomial Distribution
  • Hypergeometric Distribution
  • Negative Binomial and Geometric Distributions
  • Poisson Distribution and the Poisson Process
  • Exercise Set V
  
  
• Some Continuous Probability Distributions
  • Continuous Uniform Distribution
  • Normal Distribution
  • Areas Under the Normal Curve
  • Applications of the Normal Distribution
  • Normal Approximation to the Binomial
  • Gamma and Exponential Distributions
  • Chi-Squared Distribution
  • Lognormal Distribution
  • Exercise Set VI
  
  
• Fundamental Sampling Distributions and Data Distributions
  • Random Sampling
  • Some important statistics
  • Data Display and Graphical Methods
  • Sampling Distribution
  • Sampling Distribution of Means
  • Sampling Distribution of Means (Continued)
  • Sampling Distribution of $S^2$
  • $t$-distribution
  • $F$-distribution
  • Exercise Set VII
  
  
• References: