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 a 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

ROC Curve Simulation

Bayes Rule Calculator