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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 distributions
    • Graphs - understanding the significance of accuracy in visualization (e.g., how the method of graph creation influences decision-making)
    • Variable types - identifying which variables are easier to manage
    • Ceteris paribus - recognizing that conditions are always changing
    • 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 trials
    • Data collection - acknowledging that while bias can be minimized, it cannot be entirely eliminated
    • Understanding confidence levels

Statistical Thinking

  • Decision making with limited information
    • How to determine sufficient information levels
    • 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 Newton's Apple in a business context
  • The Cassandra Problem - how to evaluate forecasts when the course of action has changed
    • Google Flu Trends - analysis of its failures
    • How decisions render forecasts obsolete
  • Forecasting - methods and practical applications
    • 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 versus bivariate data
  • Probability
    • Why results vary with each measurement?
  • 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 outcome is often contrary to what we desire (Falsification)
    • Interpreting Hypothesis Testing results
    • Testing Means
  • Power
    • How to determine an optimal (and cost-effective) sample size
    • False positives and false negatives, and why this is always a trade-off

Requirements

Proficiency in mathematics is required. Additionally, prior exposure to basic statistics (such as working with individuals who conduct statistical analysis) is necessary.

 7 Hours

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