Why do people flip coins to resolve disputes? It usually happens when neither of two sides wants to compromise with the other about a particular decision. They choose the coin to be the unbiased agent that decides whose way things are going to go. … [Continue reading]
If you ever took an introductory course in statistics or attempted to read a publication in a scientific journal, you know what p-values are. Оr at least you've seen them. Most of the time they appear in the "results" section of a paper, attached to … [Continue reading]
What will happen if you grab a solid rock and throw it at your neighbor's window? The most common result is that the window will break. If your neighbor later asks if you know anything about the incident, you can confidently inform him that his … [Continue reading]
If you're reading this post, I'll assume you are familiar with Bayes' theorem. If not, take a look at my introductory post on the topic. Here I am going to explore the origins of the theorem, as well as its intuitiveness. I am sure that after … [Continue reading]
The concept of a sample space is fundamental to probability theory. It is the set of all possibilities (or possible outcomes) of some uncertain process. For example, the sample space of the process of flipping a coin is a set with 2 elements. Each … [Continue reading]
If you have ever come across Bayes' theorem, chances are you know it's a mathematical theorem. This theorem has a central role in probability theory. It's most commonly associated with using evidence for updating rational beliefs in hypotheses. While … [Continue reading]