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Course Outline

What Statistics Can Offer to Decision Makers

  • Descriptive Statistics
    • Basic statistics - determining which statistical measures (e.g., median, average, percentiles, etc.) are more relevant for different distributions
    • Graphs - the significance of accuracy (e.g., how the method of creating a graph influences the decision)
    • Variable types - identifying which variables are easier to manage
    • Ceteris paribus - acknowledging that conditions are always in motion
    • The third variable problem - how to identify the true influencer
  • Inferential Statistics
    • Probability value - understanding the meaning of the P-value
    • Repeated experiments - how to interpret results from repeated experiments
    • Data collection - understanding that while bias can be minimized, it cannot be entirely eliminated
    • Understanding confidence levels

Statistical Thinking

  • Decision-making with limited information
    • How to determine the sufficient amount of information
    • Prioritizing goals based on probability and potential return (benefit/cost ratio, decision trees)
  • How errors accumulate
    • The butterfly effect
    • Black swans
    • Understanding Schrödinger's cat and its equivalent, Newton's Apple, in a business context
  • The Cassandra Problem - how to measure a forecast when the course of action has changed
    • Google Flu Trends - analyzing what went wrong
    • How decisions render forecasts obsolete
  • Forecasting - methods and practicality
    • ARIMA
    • Why naive forecasts are often more responsive
    • How far back should a forecast look into the past?
    • Why having 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 they are taken
  • 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 wish to prove (Falsification)
    • Interpreting the results of Hypothesis Testing
    • Testing Means
  • Power
    • How to determine an appropriate (and cost-effective) sample size
    • False positives and false negatives, and why there is always a trade-off

Requirements

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

 7 Hours

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