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Independence

As explained in Effective Data Analysis

Independence is a condition in which the occurrence or value of one observation does not affect another observation.

Independence means that one data point does not affect the probability of another. Standard parametric tests generally assume independent data points unless the test explicitly accommodates repeated measurements, as a repeated-measures t-test or ANOVA does. section 4.2.1

Participant interactions can put independence in doubt:

  • Survey respondents change their answers after hearing their peers’ answers. section 4.2.1
  • Randomized A/B test participants at the same company compare the interfaces they received. section 4.2.1
  • Control-group participants notice better outcomes among intervention participants. section 4.2.1

Before choosing a standard parametric test, ask whether observations could influence one another. Random assignment alone does not rule out that possibility. section 4.2.1

How Effective Data Analysis covers it

How deep it goes
Defines the assumption and illustrates violations, without providing a formal diagnostic procedure.
Examples
Uses influenced survey answers, coworkers comparing A/B interfaces, and control participants observing intervention outcomes.
What you can do after
Evaluate/understand whether participant interactions threaten independence before applying a standard parametric test.
How it connects
Links independence to parametric tests, repeated-measures t-tests, ANOVA, randomization, and A/B testing.

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This explainer was generated by Manning's knowledge graph from the text of Effective Data Analysis. The section links point to the parts of the book it draws on.