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Course Outline

What Statistics Can Offer Decision-Makers

  • Descriptive Statistics
    • Basic statistics – which measures (e.g. median, mean, percentiles, etc.) are most appropriate for different data distributions
    • Graphs – the importance of accurate representation (e.g. how the way a graph is constructed can influence decision-making)
    • Variable types – which variables are easier to work with
    • Ceteris paribus: acknowledging that, in reality, things are always in motion
    • The third variable problem – identifying the true underlying influencer
  • Inferential Statistics
    • P-values – understanding what a P-value actually means
    • Repeated experiments – how to interpret results from repeated trials
    • Data collection – you can reduce bias, but never eliminate it entirely
    • Understanding confidence levels

Statistical Thinking

  • Decision-making with limited information
    • How to assess whether you have enough information to make a sound decision
    • Prioritising goals based on probability and potential return (benefit-to-cost ratio, decision trees)
  • How errors accumulate
    • The butterfly effect
    • Black swan events
    • What Schrödinger's cat and Newton's apple represent in a business context
  • The Cassandra Problem – how to evaluate a forecast when the course of action changes
    • Google Flu Trends – what went wrong
    • How decisions can render forecasts obsolete
  • Forecasting – methods and practical application
    • ARIMA
    • Why naive forecasts are often more responsive
    • How far back should a forecast look?
    • Why more data can sometimes lead to poorer forecasts?

Statistical Methods Useful for Decision-Makers

  • Describing Bivariate Data
    • Univariate versus bivariate data
  • Probability
    • Why results vary each time we measure them
  • Normal distributions and normally distributed errors
  • Estimation
    • Independent sources of information and degrees of freedom
  • The Logic of Hypothesis Testing
    • What can be proven – and why it is often the opposite of what we hope to prove (falsification)
    • Interpreting the results of hypothesis tests
    • Testing means
  • Power
    • How to determine an effective (and cost-efficient) sample size
    • False positives and false negatives – why there is always a trade-off

Requirements

A solid grasp of mathematics is essential. Prior exposure to basic statistics (for example, through working alongside professionals who conduct statistical analysis) is also required.

 7 Hours

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