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Course Outline

What Statistics Can Offer to Decision Makers

  • Descriptive Statistics
    • Basic statistics - identifying which measures (e.g., median, mean, percentiles) are most relevant for different distributions
    • Graphs - understanding the significance of accuracy in visualization (e.g., how the construction of a graph influences decision-making)
    • Variable types - determining which variables are easier to manage
    • Ceteris paribus - recognizing that circumstances are always in motion
    • The third variable problem - identifying the true influencing factor
  • Inferential Statistics
    • P-value - understanding the meaning of the probability value
    • Repeated experiments - interpreting results from repeated trials
    • Data collection - minimizing bias, though it cannot be entirely eliminated
    • Understanding confidence levels

Statistical Thinking

  • Decision-making with limited information
    • Determining how much information is sufficient
    • Prioritizing goals based on probability and potential return (benefit-to-cost ratio, decision trees)
  • How errors accumulate
    • The butterfly effect
    • Black swans
    • Understanding Schrödinger's cat and its business equivalent, Newton's Apple
  • The Cassandra Problem - measuring a forecast when the course of action has changed
    • Google Flu trends - analyzing why it failed
    • How decisions render forecasts obsolete
  • Forecasting - methods and practicality
    • ARIMA
    • Why naive forecasts are often more responsive
    • How far back should a forecast look?
    • Why more data can sometimes lead to worse forecasts

Statistical Methods Useful for Decision Makers

  • Describing Bivariate Data
    • Univariate data versus bivariate data
  • Probability
    • Why measurements vary each time
  • Normal Distributions and normally distributed errors
  • Estimation
    • Independent sources of information and degrees of freedom
  • Logic of Hypothesis Testing
    • What can be proven, and why the result is often the opposite of what we wish (Falsification)
    • Interpreting the results of Hypothesis Testing
    • Testing Means
  • Power
    • Determining an effective and cost-efficient sample size
    • False positives and false negatives, and why there is always a trade-off

Requirements

Strong mathematical skills are required. Additionally, prior exposure to basic statistics (for example, working with colleagues who conduct statistical analysis) is necessary.

 7 Hours

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