The Z-Test › What's Next

Michael BrenndoerferUpdated January 12, 20261 min read
Machine Learning from ScratchAll chapters
Part 2 of 9Hypothesis Testing
Chapter 14The Z-Test › What's Next
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In the next chapter, The T-Test, we tackle the far more common situation: testing hypotheses when the population standard deviation is unknown. The t-test uses the sample standard deviation instead, which introduces additional uncertainty accounted for by the t-distribution's heavier tails.

You'll learn about one-sample t-tests, independent two-sample t-tests (including Welch's version), and paired t-tests for dependent samples. The conceptual framework is identical to what you've learned here; only the distribution changes.

After t-tests, subsequent chapters cover F-tests for comparing variances, ANOVA for comparing multiple groups, and advanced topics including power analysis, effect sizes, and multiple comparison corrections.