Category: Probability Theory
Category: Probability Theory
Anthony Garrett delivers a comprehensive lecture, touching on several major themes centered around the principles of probability, scientific methods, and the philosophical underpinnings of science.
Gerd dives into the history of statistical analysis in his field of psychology, which has led to a paradigm of rituals, in place of meaningful thought.
Greg Glassman kicked off the 2024 BSI Epistemology Camp with this presentation. Greg’s talk centers around the ‘breaking point’ from modern science to post modern science.
William Briggs explains the basics of calculating probability, which pieces of the calculation are subjective, and how the results can influence beliefs and actions.
How Bayes' Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of Controversy
In this video Emily explains the difference between a Bayesian approach and a frequentist approach to analyzing statistics. A Bayesian analysis looks at prior probabilities combined with data to determine the probability that the hypothesis is true. A frequentist analysis compares the hypothesis to the null-hypothesis, a yes/no approach, to determine if the data could support the null-hypothesis. It then ranks the data with a P-value, but it actually says nothing about the hypothesis being true.
By Emily KaplanSimply put, a p-value is a measure of the likelihood that the results of a study are due to the hypothesis, and not simply a result of chance. It compares the “null hypothesis,” the idea that the thing being studied has no effect, vs the “alternative hypothesis,” the thing being tested. So if the p-value is low, the data is thought to be significant. However, the p-value does not validate the effectiveness of the thing being studied, it simply claims to shows that the results were not due to chance.
Frighteningly, scientists, researchers, and medical professionals misinterpret the meaning of p-values but place extreme faith in them.
By Emily KaplanThe p value plays into the human need for certainty and has led to the reproducibility crisis in may fields. Some researchers want to tweak the system of analysis, while others want to overhaul it.