Section 3 Review

3.1 Review of Basic Statistics

  • Descritpive Statistics: Single Variable
    • Type of variables
    • Central tendency of the data
    • Spread of the data
    • Shape of the data
    • Graphical presentation of the data
      • Quantitative data
      • Qualitative data
  • Descritpive Statistics: Multiple Variables
    • Relationship between variables
    • Summary statistics
    • Graphical presentation of the data
      • Quantitative & Quantitative data
      • Qualitative & Qualitative data
      • Quantitative & Qualitative data
  • Probability
    • Concept
    • Experiment, Trial, Outcome, Event
    • Theoretical probability
    • Relative frequency
  • Probability Distirbutions
    • Binomial distribution
    • Poisson distribution
    • Normal distribution
      • Normal distribution properties
      • Standard Normal distribution
      • Probability Density function
      • Quantiles of normal Distribution
      • Probability under Normal distribution
      • Random number generation
  • Sampling Theory
    • Population & Sample
    • Parmeters & Estimates
    • Distribution of the sample mean
    • Central Limit Theorem
    • Confidence interval
  • Hypothesis testing
    • Concept
    • Steps in hypothesis testing
    • Terminologies
    • Decision
  • Hypothesis test of the Mean: One Sample
    • One sample, known variance
    • Motivating example
    • Steps in hypothesis testing
    • Testing the hypothesis
  • Hypothesis test of the Mean: One Sample
    • One sample, unknown variance
    • Motivating example
    • Steps in hypothesis testing
    • Testing the hypothesis
  • Hypothesis testing: Two Samples
    • Two samples, unknown variance
    • Steps in hypothesis testing
    • Testing the hypothesis
    • Assumptions and interpretations