---
title: Statistical Analysis
description: Statistical analysis is the collection, exploration, and interpretation of quantitative data. You will understand how to apply descriptive and inferential statistics, test hypotheses, identify correlations, and use data modeling to draw valid conclusions from scientific experiments.
category: sciences
subcategory: scientific-method
difficulty: beginner, intermediate, advanced
url: /subject/statistical-analysis
---

# Statistical Analysis

Statistical analysis is the collection, exploration, and interpretation of quantitative data. You will understand how to apply descriptive and inferential statistics, test hypotheses, identify correlations, and use data modeling to draw valid conclusions from scientific experiments.

## Available Resources

1 Videos • 4 Courses • 4 Websites

## Courses

### 1. Statistical Inference

Statistical inference is the process of drawing conclusions about populations or scientific truths from data. There are many modes of performing inference including statistical modeling, data oriented strategies and explicit use of designs and randomization in analyses. Furthermore, there are broad theories (frequentists, Bayesian, likelihood, design based, …) and numerous complexities (missing data, observed and unobserved confounding, biases) for performing inference. A practitioner can often be left in a debilitating maze of techniques, philosophies and nuance. This course presents the fundamentals of inference in a practical approach for getting things done. After taking this course, students will understand the broad directions of statistical inference and use this information for making informed choices in analyzing data.

**Difficulty:** Intermediate | **Price:** Free

**Link:** https://www.coursera.org/learn/statistical-inference

**Tags:** statistical-inference, hypothesis-testing, confidence-intervals, probability, r-programming

### 2. Statistics

Learn statistics fundamentals with this free course from Khan Academy! Master probability, data analysis, and more.

**Difficulty:** Beginner | **Price:** Free

**Link:** https://www.khanacademy.org/math/statistics-probability

**Tags:** introductory-statistics, probability, data-analysis, hypothesis-testing

### 3. Statistics with R

University of Colorado Boulder course, taught by Charlie Nuttelman, that uses R and RStudio for applied statistics. Covers descriptive statistics, probability distributions, confidence intervals, one- and two-sample hypothesis tests, regression and ANOVA, so learners can run and interpret standard analyses in R.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://www.coursera.org/learn/statistics-and-data-analysis-with-r

**Tags:** courses, science-research, scientific-method

### 4. Introduction to Statistical Analysis

<p>Applied Statistical Data Analysis Using R professional certificate is directed at people with limited statistical background and no practical experience

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://www.edx.org/certificates/professional-certificate/ucx-statistical-analysis-in-r

**Tags:** courses, science-research, scientific-method

## Videos

### 1. Vectors | Chapter 1, Essence of Linear Algebra

**Author:** Grant Sanderson

Opening chapter of Grant Sanderson's animated linear algebra series, contrasting the physics, computer science and mathematics views of vectors. Shows vectors as arrows and coordinate lists, and how addition and scalar multiplication work geometrically, laying intuition for linear combinations and transformations.

**Difficulty:** Beginner | **Price:** Free

**Link:** https://www.youtube.com/watch?v=fNk_zzaMoSs

**Tags:** linear-algebra, vectors, vector-addition, visual-intuition

## Websites

### 1. Distill.pub

Peer-reviewed web journal of machine learning explanations, publishing interactive articles on topics like feature visualisation, attention and neural network interpretability. Archive remains readable, though the journal went on indefinite hiatus in 2021 and no longer publishes.

**Difficulty:** Intermediate | **Price:** Free

**Link:** https://distill.pub/

**Tags:** deep-learning, neural-networks, interpretability, interactive-visualization, machine-learning

### 2. stattrek.com

StatTrek is an online statistics resource that provides clear tutorials and explanations of probability and statistics. It also features free calculators for distributions, hypothesis tests, confidence intervals, and other statistical methods.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://stattrek.com

**Tags:** websites, science-research, scientific-method

### 3. seeing-theory.brown.edu

Seeing Theory is an interactive, browser-based resource from Brown University that uses visual simulations to explain fundamental probability and statistics concepts. It offers interactive demos and explanations on topics like probability, distributions, sampling, the central limit theorem, confidence intervals, hypothesis testing, and Bayesian reasoning.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://seeing-theory.brown.edu

**Tags:** websites, technology-computer-science, data-science--ai

### 4. stats.stackexchange.com

Stats Stack Exchange is a Q&A community for statistics professionals and enthusiasts, featuring questions and expert answers on topics from probability and inference to data analysis and experimental design. It’s a practical resource for learning statistical concepts, getting help with methods, and discussing real-world data problems.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://stats.stackexchange.com

**Tags:** websites, technology-computer-science, data-science--ai

---

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