Statistics

Who would you rather date, Bayes Factor or p-value? (in Russian)

Have you ever wondered what is the difference between Frequentist and Bayesian statistics? In this tutorial we went over the basic concepts of both approaches using inference for a proportion as an example.

Who would you rather date, Bayes Factor or p-value?

Frequentist vs Bayesian battle is one of the “hot” topics in the statistics world. In this post, we will go over the differences between Frequentist and Bayesian approaches using the hypothesis testing for a population proportion. Note that the goal is to introduce the idea of both approaches, rather than selecting "the best" one.

A (not that simple) Least Squares Regression

Overview of the math behind an Ordinary Least Squares method, and what is needed to be taken into consideration when fitting a regression line.

Statistical Hypothesis Testing (in Russian)

Main idea of the Null Hypothesis Significance Testing. Intuition behind the p-value. How to perform t-tests, ANOVA, Binomial Test and Chi-squared Test.

Null Hypothesis Significance Testing, part 3

Overview of the power and the effect size of the test and why low p-value is not always enough to make a decision.

Null Hypothesis Significance Testing, part 2

Introduction to the inference for a population proportion using binomial test and $\chi^2$ test for independence.

Null Hypothesis Significance Testing, part 1

Basic concept of the NHST and the idea of p-value. Overview of the inference for a population mean using one/two-sample $t$-tests and ANOVA.

Normal Approximation to Binomial Distribution

Bayes Rule Calculator

Bayes Rule and Disease Testing

Learn how you can update your prior beliefs using Bayes rule with the disease testing as an example.