--- title: Statistical Modeling description: Statistical modeling is the mathematical representation of relationships between variables within a dataset. You will understand how to formulate hypotheses, fit regression models, and interpret statistical outputs to make valid inferences from data. category: programming-tech subcategory: data-science difficulty: beginner, intermediate, advanced url: /subject/statistical-modeling --- # Statistical Modeling Statistical modeling is the mathematical representation of relationships between variables within a dataset. You will understand how to formulate hypotheses, fit regression models, and interpret statistical outputs to make valid inferences from data. ## Available Resources 1 Videos • 1 Books • 4 Courses • 3 Websites ## Courses ### 1. Statistical Learning Learn statistical modeling with Stanford's "Statistical Learning" course. Build predictive models and understand key concepts. **Difficulty:** Intermediate | **Price:** Free **Link:** https://www.youtube.com/playlist?list=PLoROMvodv4rPP6braWoRt5UCXYZ71GZIQ **Tags:** statistical-learning, regression, classification, resampling, r ### 2. Statistical Learning Learn some of the main tools used in statistical modeling and data science. We cover both traditional as well as exciting new methods, and how to use them in R. Course material updated in 2021 for second edition of the course textbook. **Difficulty:** Intermediate | **Price:** Free **Link:** https://www.edx.org/learn/statistics/stanford-university-statistical-learning **Tags:** statistical-learning, regression, classification, r, machine-learning ### 3. Bayesian Statistics: From Concept to Data Analysis This course introduces the Bayesian approach to statistics, starting with the concept of probability and moving to the analysis of data. We will learn about the philosophy of the Bayesian approach as well as how to implement it for common types of data. We will compare the Bayesian approach to the more commonly-taught Frequentist approach, and see some of the benefits of the Bayesian approach. In particular, the Bayesian approach allows for better accounting of uncertainty, results that have more intuitive and interpretable meaning, and more explicit statements of assumptions. This course combines lecture videos, computer demonstrations, readings, exercises, and discussion boards to create an active learning experience. For computing, you have the choice of using Microsoft Excel or the open-source, freely available statistical package R, with equivalent content for both options. The lectures provide some of the basic mathematical development as well as explanations of philosophy and interpretation. Completion of this course will give you an understanding of the concepts of the Bayesian approach, understanding the key differences between Bayesian and Frequentist approaches, and the ability to do basic data analyses. **Difficulty:** Beginner | **Language:** English | **Duration:** Four weeks of study, two-five hours/week depending on your familiarity with mathematical statistics. | **Price:** Free **Link:** https://www.coursera.org/learn/bayesian-statistics **Tags:** courses, mathematics-statistics, statistics-and-probability ### 4. Advanced Statistical Modeling Extend your knowledge of linear regression to the situations where the response variable is binary, a count, or categorical as well as to hierarchical experimental set-up. **Difficulty:** Intermediate | **Language:** English | **Price:** Free **Link:** https://www.edx.org/learn/r-programming/university-of-canterbury-advanced-statistical-inference-and-modelling-using-r **Tags:** courses, technology-computer-science, data-science ## Videos ### 1. StatQuest: Linear Regression Clearly Explained Josh Starmer walks through fitting a line by least squares, then explains R-squared and the p-value for the fit using simple visuals. Good for building intuition before meeting the algebra of regression. **Difficulty:** Beginner | **Price:** Free **Link:** https://www.youtube.com/watch?v=nk2CQITm_eo **Tags:** linear-regression, r-squared, least-squares, statistics, statquest ## 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. r-statistics.co R-Statistics.co is a practical, example-driven guide to learning statistics with the R programming language. It provides tutorials, explanations, and ready-to-use R code across topics from descriptive statistics to regression, hypothesis testing, and data visualization. **Difficulty:** Intermediate | **Language:** English | **Price:** Free **Link:** https://r-statistics.co **Tags:** websites, technology-computer-science, data-science ### 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 ## Books ### 1. The Elements of Statistical Learning **Author:** Trevor Hastie, Robert Tibshirani, Jerome Friedman A graduate-level survey of supervised and unsupervised learning, presented statistically: linear methods, splines, kernel smoothing, model selection, trees, boosting, support vector machines, and graphical models. It gives you the theory behind why each method behaves as it does. **Difficulty:** Intermediate | **Language:** English | **Price:** Paid **Link:** https://www.amazon.com/dp/0387952845?tag=edmonddante07-20 **Tags:** books, technology-computer-science, data-science --- *This content is part of Dantes.io - Your Treasure Map to Knowledge* *Curated by humans at Dantes.io. Personal study use welcome; republishing this curation requires permission (team@dantes.io).* View this page online: https://dantes.io/subject/statistical-modeling