Simulation Laboratory

Change the evidence. Reconsider the decision.

Each environment begins with a practical question. Adjust the data, read the linked statistics and graphics, then decide what the evidence supports.

1 · Frame2 · Explore3 · Interpret4 · Decide
How to use this laboratoryYou do not need to read everything first. Choose an environment and start with the highlighted control.
  1. FrameUnderstand the question and decision.
  2. ExploreChange one input and watch the evidence respond.
  3. InterpretConnect the graph with the statistic.
  4. DecideChoose an action and check your reasoning.
ENVIRONMENT 01

Describing Data and Distribution Shape

What can an average hide when a decision also depends on variability, outliers, and shape?

Mean · median · SD · IQR · histogram · boxplot · decisions → ENVIRONMENT 02

Relationships and Prediction

When does a visible relationship support a useful prediction, and when can one point mislead?

Scatterplots · correlation · regression · residuals → ENVIRONMENT 03

Unions, Overlaps and Conditions

Who is affected by either event, and when does one event change the risk of another?

Union · intersection · conditional probability · independence → ENVIRONMENT 04

Binomial Distribution

How many successes should we expect from a fixed number of independent opportunities?

Fixed trials · success probability · cumulative events → ENVIRONMENT 05

Poisson Distribution

How can event counts help plan capacity when occurrences arrive unpredictably over time or space?

Event rate · counts · service capacity · tail risk → ENVIRONMENT 06

Normal Distribution

How do a centre and standard deviation translate continuous measurements into practical thresholds?

Mean · standard deviation · z-score · thresholds →