Topics

Descriptive Statistics

  • Variables
  • Sample Space
  • Mean, Median and Mode
  • Weighted Averages
  • Expected Values
  • Variance and Standard Deviation
  • Other Measures of Dispersion
  • Class Intervals and Boundaries

Data Presentation

  • Box and Whisker Plots
  • Scatter Graphs
  • Bar Charts
  • Pie Charts
  • Frequency Distribution Tables
  • Histograms

Regression and Correlation

  • Types of Correlation
  • Strength of Correlation
  • Residuals
  • Simple Linear Regression
  • Multiple Regression
  • Coefficient of Determination, R-squared
  • Assumptions of Regression Analysis

Distribution functions

  • Probability Mass Function
  • Probability Density Function
  • Cumulative Distribution Function

Distributions

  • Bernoulli Distribution
  • Binomial Distribution
  • Poisson Distribution
  • Normal Distribution
  • Student $t$
  • Summary of Standard Distributions
  • Central Limit Theorem
  • Degrees of Freedom
  • Converting from the Normal Distribution to the Standard Normal Distribution

Hypothesis testing

  • Null and Alternative Hypotheses
  • One-tailed and Two-tailed Tests
  • Type I and Type II Errors
  • $p$-value
  • Test Statistic
  • Critical Region and Confidence Interval
  • Carrying out a Hypothesis Test
  • Selecting a Hypothesis Test
  • Hypothesis Testing with the Binomial Distribution
  • Hypothesis Testing with the Poisson Distribution
  • Hypothesis Testing with the Normal Distribution
  • Hypothesis Testing with the Student $t$-Distribution

Sampling

  • About Sampling
  • Types of Sampling

Notation

  • Sigma notation
  • Probability notation
  • Binomial coefficient