Statistics Explained

Statistics Explained
Statistics Explained | Ideasthesia

Statistics is the mathematics of extracting signal from noise. It's how you go from messy data to confident claims. It's how you know if the drug works, if the policy helped, if the pattern is real.

This isn't just academic procedure. Every time you read "studies show" or "researchers found," someone used statistics to get there. Every medical treatment, every A/B test, every poll—statistics is the machinery underneath.

But here's the thing: most people—including most researchers—misunderstand the core concepts. P-values don't mean what you think. Confidence intervals don't work how they sound. And correlation definitely doesn't mean causation, but not for the reasons you've heard.

This series unpacks the fundamental tools of statistical inference, from the ground up. We'll build from descriptive statistics through hypothesis testing to regression and beyond. By the end, you'll understand how statistics lets us learn from uncertainty—and where the whole system breaks down.

The Series

What Is Statistics? Making Sense of Data
Statistics extracts knowledge from data - description and inference
Descriptive Statistics: Summarizing Data
Descriptive statistics summarize datasets - mean median mode range
Sampling and Populations: Part Representing Whole
Statistics infers population properties from samples - why sample size matters
Confidence Intervals: Quantifying Uncertainty in Estimates
Confidence intervals provide ranges likely to contain the true value
Hypothesis Testing: Is the Effect Real?
Hypothesis testing determines if results are statistically significant
P-Values: What They Actually Mean
P-values measure how surprising data would be if null hypothesis were true
Type I and Type II Errors: False Positives and False Negatives
Type I errors reject true nulls - Type II errors accept false nulls
Linear Regression: Fitting Lines to Data
Linear regression finds the best-fit line - prediction from correlated variables
Correlation vs Causation: Why Ice Cream Does Not Cause Drowning
Correlation measures association - causation requires more evidence
ANOVA: Comparing Multiple Groups
ANOVA tests whether group means differ significantly
Chi-Square Tests: Testing Independence and Fit
Chi-square tests check if observed frequencies match expected
Synthesis: Statistics as the Science of Learning from Data
Statistics provides methods for extracting knowledge from uncertainty

Series: Statistics | Articles: 13 Primary Tag: FRONTIER SCIENCE


This is the hub page for the Statistics series.

Next: What Is Statistics? Making Sense of Data