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Course Outline

What Statistics Can Offer to Decision Makers

  • Descriptive Statistics
    • Basic statistics - determining which statistics (e.g., median, mean, percentiles) are most relevant for different distributions
    • Graphs - understanding the significance of accuracy (e.g., how graph creation impacts decision-making)
    • Variable types - identifying which variables are easier to manage
    • Ceteris paribus - acknowledging that conditions are always in motion
    • Third variable problem - identifying the true influencer
  • Inferential Statistics
    • Probability value - understanding the meaning of the P-value
    • Repeated experiments - interpreting results from repeated experimental runs
    • Data collection - recognizing that bias can be minimized but not entirely eliminated
    • Understanding confidence levels

Statistical Thinking

  • Decision making with limited information
    • Determining sufficient information levels
    • Prioritizing goals based on probability and potential return (benefit/cost ratio, decision trees)
  • How errors accumulate
    • Butterfly effect
    • Black swans
    • Understanding the business analogies of Schrödinger's cat and Newton's Apple
  • Cassandra Problem - measuring forecasts when the course of action has shifted
    • Google Flu Trends - analyzing its failures
    • How decisions render forecasts obsolete
  • Forecasting - methods and practicality
    • ARIMA
    • Why naive forecasts are often more responsive
    • Determining the appropriate historical range for forecasting
    • Why increased data can sometimes lead to worse forecasts

Statistical Methods Useful for Decision Makers

  • Describing Bivariate Data
    • Univariate vs. bivariate data
  • Probability
    • Understanding why measurements vary each time
  • Normal Distributions and normally distributed errors
  • Estimation
    • Independent sources of information and degrees of freedom
  • Logic of Hypothesis Testing
    • Understanding falsification - what can be proven and why we often prove the opposite of what we desire
    • Interpreting hypothesis testing results
    • Testing Means
  • Power
    • Determining an effective and cost-efficient sample size
    • False positives and false negatives - understanding the inherent trade-offs

Requirements

Strong mathematical skills are required. Prior exposure to basic statistics (e.g., working with individuals who perform statistical analysis) is also necessary.

 7 Hours

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