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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, etc.) are most relevant for different data distributions
    • Graphs - understanding the significance of accurate visualization (e.g., how graph construction influences decision-making)
    • Variable types - identifying which variables are easier to manage
    • Ceteris paribus - acknowledging that conditions are always changing
    • Third variable problem - strategies for identifying the true influencing factors
  • Inferential Statistics
    • Probability value - understanding the meaning of the P-value
    • Repeated experiments - how to interpret results from repeated trials
    • Data collection - recognizing that bias can be minimized but never fully eliminated
    • Understanding confidence levels

Statistical Thinking

  • Decision making with limited information
    • How to determine the sufficient amount of information needed
    • Prioritizing goals based on probability and potential return (benefit/cost ratio, decision trees)
  • How errors accumulate
    • Butterfly effect
    • Black swans
    • Understanding Schrödinger's cat and Newton's Apple in a business context
  • Cassandra Problem - how to measure a forecast when the course of action changes
    • Google Flu Trends - analysis of what went wrong
    • How decisions can render forecasts obsolete
  • Forecasting - methods and practicality
    • ARIMA
    • Why naive forecasts are often more responsive
    • How far back should a forecast look?
    • Why having more data can sometimes lead to worse forecasts?

Statistical Methods Useful for Decision Makers

  • Describing Bivariate Data
    • Univariate data vs. 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 we often end up disproving what we hoped to prove (Falsification)
    • Interpreting the results of Hypothesis Testing
    • Testing Means
  • Power
    • How to determine an effective and cost-efficient sample size
    • False positives and false negatives, and why balancing them is always a trade-off

Requirements

Strong mathematical skills are required. Prior exposure to basic statistics (such as collaborating with professionals who conduct statistical analysis) is also necessary.

 7 Hours

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