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Chapter
Why Statistics Exists
Why uncertainty makes statistical reasoning necessary, and why evidence requires discipline before it can guide belief or action.
Section
1.1 The Problem of Uncertainty
Why uncertainty makes statistical reasoning necessary, and why evidence requires discipline before it can guide belief or action.
Section
1.2 Why Raw Observation Is Not Enough
Why uncertainty makes statistical reasoning necessary, and why evidence requires discipline before it can guide belief or action.
Section
1.3 Data Versus Understanding
Why uncertainty makes statistical reasoning necessary, and why evidence requires discipline before it can guide belief or action.
Section
1.4 Noise, Signal, and Decision-Making
Why uncertainty makes statistical reasoning necessary, and why evidence requires discipline before it can guide belief or action.
Section
1.5 Statistics as Disciplined Uncertainty
Why uncertainty makes statistical reasoning necessary, and why evidence requires discipline before it can guide belief or action.
Section
1.6 Statistics Versus Mathematics
Why uncertainty makes statistical reasoning necessary, and why evidence requires discipline before it can guide belief or action.
Section
1.7 Statistics Versus Machine Learning
Why uncertainty makes statistical reasoning necessary, and why evidence requires discipline before it can guide belief or action.
Section
1.8 Statistics as a Language of Evidence
Why uncertainty makes statistical reasoning necessary, and why evidence requires discipline before it can guide belief or action.
Figure
The Three Sources of Uncertainty
Adjust variation, ignorance, and measurement error to see how uncertainty enters an observed outcome.
Figure
Sample Size and the Illusion of Certainty
Change the sample size and observe how small samples can create false confidence.
Figure
Signal Hidden Inside Noise
Reveal or hide the underlying signal inside noisy observations.
Figure
Data Is Not Understanding
Toggle context, labels, groups, and hidden variables to see how interpretation changes.
Figure
The Cost of Acting Under Uncertainty
Change the cost of false alarms and missed detections to see how optimal decisions move.