Type I and Type II Errors › What's Next

Michael BrenndoerferJanuary 6, 20261 min read
Machine Learning from ScratchAll chapters
Part 2 of 9Hypothesis Testing
Chapter 18Type I and Type II Errors › What's Next
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Understanding error types prepares you for power analysis and sample size determination. In the next section, you'll learn how to calculate the sample size needed to detect effects of a given size with a specified probability. This involves:

  • Setting power targets based on the consequences of Type II errors
  • Calculating minimum detectable effects for given sample sizes
  • Understanding the relationship between effect size, sample size, and power
  • Using power analysis software and formulas

You'll also explore effect sizes in depth: standardized measures of the magnitude of effects that are independent of sample size. Effect sizes are essential for interpreting results and for meta-analysis, where results from multiple studies are combined. Finally, you'll learn about multiple comparisons, where conducting many tests inflates the overall Type I error rate and requires special correction methods.

These concepts build directly on the error framework you've learned here. Every statistical decision involves weighing the risks of Type I and Type II errors. The tools in upcoming sections will help you make these decisions systematically.