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Course Outline

What Statistics Can Offer to Decision Makers

  • Descriptive Statistics
    • Basic statistics - determining which statistical measures (e.g., median, mean, percentiles) are most appropriate for different distributions
    • Graphs - understanding the significance of accurate visualization (e.g., how graph design influences decision-making)
    • Variable types - identifying which variables are easier to manage
    • Ceteris paribus, things are always in motion
    • Third variable problem - strategies for identifying the true influencer
  • Inferential Statistics
    • Probability value - understanding the meaning of P-value
    • Repeated experiments - interpreting results from repeated experiments
    • Data collection - minimizing bias, though never entirely eliminating it
    • 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/cost ratio, decision trees)
  • How errors accumulate
    • Butterfly effect
    • Black swans
    • What is Schrödinger's cat and what is Newton's Apple in business
  • Cassandra Problem - measuring a forecast when the course of action has changed
    • Google Flu trends - analyzing what went wrong
    • How decisions make forecasts outdated
  • Forecasting - methods and practicality
    • ARIMA
    • Why naive forecasts are usually 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 and bivariate data
  • Probability
    • Why measurements differ 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 it is often the opposite of what we want (Falsification)
    • Interpreting the results of Hypothesis Testing
    • Testing Means
  • Power
    • Determining a good (and cost-effective) sample size
    • False positive and false negative, and why it is always a trade-off

Requirements

Strong mathematical skills are required. Additionally, prior exposure to basic statistics, such as working with individuals who perform statistical analysis, is necessary.

 7 Hours

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