Statistical Smorgasbord

The pages in this site serve two purposes:

• They provide concepts and examples of problems discussed in my Business Statistics classes.
• They provide the mathematical theory for these statistical concepts, much of which is beyond the level of my Business Statistics classes.

Topics

• Data Types
• Frequency Distributions
• Graphs
• Measures of Central Tendency
• Measures of Dispersion
• Measures of Position
• Measures of Relatedness
  
  
• Empirical Probability
• Classical Probability
• Probability Rules
• Bayes Theorem
• Randomized Response
• Simpson's Paradox
  
  
• Basic Counting
• Playing Card Frequencies
  
  
• Discrete Probability Distributions
• Continuous Probability Distributions
• Expected Value and Variance Properties
• Moments and Moment Generating Functions
• Joint Discrete Probability Distributions
• Joint Continuous Probability Distributions
• Transformations of Random Variables
• Sums of Random Variables
  
  
• Discrete Uniform Distributions
• Binomial Distributions
• Hypergeometric Distributions
• Geometric Distributions
• Negative Binomial Distributions
• Poisson Distributions
  
  
• Continuous Uniform Distributions
• Exponential Distributions
• Gamma Distributions
• Normal Distributions
• Approximately Normal Distributions with Discrete Data
• Chi-Square Distributions
• F Distributions
• t Distributions
  
  
• The Central Limit Theorem
• Sample Mean Distributions
• Sample Proportion Distributions
• Sample Variance Distributions
  
  
• Estimating Population Parameters
• Confidence Intervals for Means
• Confidence Intervals for Proportions
• Confidence Intervals for Percentiles and Medians
• Confidence Intervals for Variances and Standard Deviations
  
  
• Introduction to Hypothesis Testing
• Errors in Hypothesis Testing
• Hypothesis Tests for One or Two Means
• Hypothesis Tests for One or Two Proportions
• Hypothesis Tests for One or Two Variances or Standard Deviations
• Pearson's Goodness-of-Fit Test