Skip to main content

🎓 Need a statistics tutor?Book a free intro call →

StatisticsFundamentals

Home
About
Blog
Roadmap
Contact

Tutor Subscribe Calculators Tables Tools Saved

Loading...

Stay in the loop

Get statistics insights delivered weekly

Join students and educators receiving expert explanations, study tips, and platform updates every Thursday.

Your email address

No spam. Unsubscribe anytime. We respect your privacy.

Statistics Fundamentals

Making statistics accessible and genuinely understandable, with worked examples, calculators, and clear explanations for students at every level.

Learn

All Articles
Descriptive Statistics
Probability
Distributions
Hypothesis Testing
Regression & Correlation

Resources

Blog
Calculators
Interactive Tools
Statistical Tables
Glossary
Roadmap
Contact

Company

About Us
Our Authors
Roadmap
Contact
Privacy Policy
Terms of Use
DMCA Policy

© 2026 Statistics Fundamentals. All rights reserved.

Privacy Terms Sitemap

Blog

Statistics Fundamentals Blog

Free articles covering every core topic from GCSE statistics through postgraduate research methods. Clear explanations, real-world examples, and the conceptual depth you won't find in a typical textbook.

All Descriptive Statistics Probability Distributions Sampling & Inference Hypothesis Testing Regression & Correlation

Illustration: Training error keeps falling, but held-out error turns back up: that is overfitting

Sep 29, 20268 min read

Where Statistics Actually Shows Up in Machine Learning

Read article →

Illustration: Any distribution keeps at least 75% within 2σ of its mean; this skewed one keeps 96%

Sep 28, 20267 min read

Chebyshev's Inequality: A Distribution-Free Bound on Spread

Read article →

Illustration: A correlogram: bars outside the band show memory in the series at that lag

Sep 28, 20267 min read

Autocorrelation Explained: When Data Points Aren't Independent

Read article →

Illustration: The same 8 subjects measured under three conditions; ranks are compared within each subject

Sep 27, 20268 min read

The Friedman Test: Comparing 3+ Related Groups by Rank

Read article →

Illustration: Residuals that drift together (positive autocorrelation) push d well below 2

Sep 27, 20268 min read

The Durbin-Watson Test: Detecting Autocorrelation in Regression Residuals

Read article →

Illustration: Multiply along the branches to get each joint probability; the four leaves sum to 1

Sep 26, 20268 min read

Probability Trees: How to Build and Read Them, With Worked Examples

Read article →

Illustration: ANOVA on ranks: pool all 15 values, rank them, and compare each group’s mean rank

Sep 26, 20268 min read

The Kruskal-Wallis Test: ANOVA Without the Normality Assumption

Read article →

Illustration: Every value in the interval is equally likely, so probability is just proportional width

Sep 25, 20267 min read

The Uniform Distribution: Formula, Worked Examples, and When to Use It

Read article →

Illustration: Too few or too many runs suggests the order is not random

Sep 25, 20267 min read

The Runs Test: Checking Whether a Sequence Is Actually Random

Read article →

Illustration: Small samples give the t-distribution heavier tails than the normal

Sep 24, 20267 min read

The T-Distribution vs. the Normal Distribution: What Actually Differs

Read article →

Illustration: Internal consistency: the more the items correlate, the higher the reliability

Sep 24, 20268 min read

Cronbach's Alpha: Measuring the Reliability of a Scale

Read article →

Illustration: Rotate to the axes with the most spread: PC1 carries most of the information, PC2 the rest

Sep 24, 20269 min read

Principal Component Analysis (PCA): A Step-by-Step Two-Variable Example

Read article →

Illustration: Bar width is the weight: heavier values pull the mean toward them

Sep 23, 20267 min read

Weighted Mean and Geometric Mean: Beyond the Simple Average

Read article →

Illustration: Drop each observation once, re-estimate, and use the spread of the estimates

Sep 23, 20268 min read

The Jackknife: Estimating Bias and Standard Error by Leaving One Out

Read article →

Illustration: Survival from time-to-event data; tick marks are censored patients still under observation

Sep 22, 20268 min read

The Kaplan–Meier Survival Curve: Handling Censored Data

Read article →

Illustration: Add the singles, subtract the pairs, add back the triple — nothing is counted twice

Sep 22, 20268 min read

The Inclusion–Exclusion Principle: Counting and Probability for Overlapping Events

Read article →

Illustration: 2,000 resamples of one 25-value sample, with the middle 95% of resampled means highlighted

Sep 21, 20267 min read

Bootstrap Sampling: Confidence Intervals Without a Formula

Read article →

Illustration: Expectations add — even when the two quantities are dependent

Sep 21, 20268 min read

Linearity of Expectation: The Shortcut for Adding Averages

Read article →

Illustration: Agreement between two raters, corrected for the agreement expected by chance alone

Sep 21, 20268 min read

Cohen's Kappa: Measuring Agreement Beyond Chance

Read article →

Illustration: The running proportion of heads wanders early, then settles inside a shrinking ±1.96/(2√n) band

Sep 20, 20267 min read

The Law of Large Numbers: Why Sample Averages Converge on the Truth

Read article →

Illustration: Step-up rule: four discoveries survive Benjamini–Hochberg where Bonferroni keeps only one

Sep 19, 20268 min read

False Discovery Rate and the Benjamini–Hochberg Procedure

Read article →

Illustration: Multiplicative growth gives a right-skewed curve: the mean sits above the median

Sep 19, 20268 min read

The Log-Normal Distribution: When Logarithms Are Normal

Read article →

Illustration: Intervals describe a repeatable procedure; a posterior describes belief about this parameter

Sep 18, 20268 min read

Bayesian vs. Frequentist Statistics: Two Ways of Reasoning About Uncertainty

Read article →

Sep 18, 20267 min read

The Finite Population Correction: Sampling Without Replacement From a Small Population

Read article →

Never miss an article

Get new statistics articles, study tips, and platform updates delivered to your inbox every Thursday.

Your email address

Descriptive Statistics →Hypothesis Testing →Regression & Correlation →