Voluntary contributions will go to the nonprofit website for its maintenance and development costs.

Voluntary contributions will go to the nonprofit website for its maintenance and development costs.

In this site I offer visitors a way of **learning statistics** by **doing statistics.** By this method, the student learns statistics step by step, incorporating knowledge and solving real word problems as she and he acquire new techniques.

To aid this process, I explain in detail fundamental statistical tests / techniques / theories, and present their objectives, advantages, key ideas, and how they were developed, using published scientific articles and their collected data. Often proofs of theorems and detailed explanations are offered in pop-up boxes, which can be skipped, if the proofs are known or not of great interest. To help the visitor focus on subjects relevant to a research question, I use keywords linked with articles that fully explain and elaborate them. All calculations, tests, graphs, and programming are performed with **R** and **RStudio**.

The learning principles of the site are:

Paying special attention to the smooth and hierarchical succession of the steps in all solutions and conclusions, which often are written in pop-up boxes, allowing students to take the initiative, thereby enhancing their critical thinking, before checking the answers.

Emphasizing the importance of writing RStudio functions and simple algorithms because apparently computer-based instructions help students learn basic statistics concepts.

I wish the site will reveal to the visitors the rigor and potential of statistics.

by Christine Apostolopoulou

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**Johan Carl Friedrich Gauss** (1777-1855) was a German mathematician and physicist. He was the child prodigy of an illiterate mother and a working-class father. Gauss is considered as one of the greatest mathematicians of all time because he made significant contributions to statistics and many more scientific fields.

- Canonical Analysis
- Chi-square Goodness-of-Fit Test
- Chi-square Test for Independence
- Coded Data
- Contingency Tables
- COVID-19 Data
- Diagnostic Plots
- Eigenvectors and Eigenvalues of a Matrix
- Kendall's Correlation Coefficient
- Lack of Fit
- Mann-Kendall Test
- Matrix Equation Equivalent to a Second Order Regression Model
- Multiple Regression Model
- Non-Parametric Tests
- Response Surface
- Sen's Slope
- Spearman's Correlation Coefficients
- Stationary Points of a Surface
- Systematic Reviews
- Uncoded Data