Crash Course
Degrees of Freedom and Effect Sizes - Crash Course Statistics
Today we're going to talk about degrees of freedom - which are the number of independent pieces of information that make up our models. More degrees of freedom typically mean more concrete results. But something that is statistically...
3Blue1Brown
What they won't teach you in calculus
A visual for derivatives which generalizes more nicely to topics beyond calculus.
Crash Course
ANOVA Part 2 Dealing with Intersectional Groups - Crash Course Statistics
Do you think a red minivan would be more expensive than a beige one? Now what if the car was something sportier like a corvette? Last week we introduced the ANOVA model which allows us to compare measurements of more than two groups, and...
Crash Course
Mean, Median, and Mode Measures of Central Tendency - Crash Course Statistics
Today we’re going to talk about measures of central tendency - those are the numbers that tend to hang out in the middle of our data: the mean, the median, and mode. All of these numbers can be called “averages” and they’re the numbers...
PBS
Splitting Rent with Triangles
You can find out how to fairly divide rent between three different people even when you don't know the third person's preferences! Find out how with Sperner's Lemma.
PBS
Dissecting Hypercubes with Pascal's Triangle
What does the inside of a tesseract look like? Pascal's Triangle can tell us.
Crash Course
T-Tests A Matched Pair Made in Heaven - Crash Course Statistics
Today we're going to walk through a couple of statistical approaches to answer the question: "is coffee from the local cafe, Caf-fiend, better than that other cafe, The Blend Den?" We'll build a two sample t-test which will tell us how...
PBS
Can We Combine pi & e to Make a Rational Number?
Can you produce a rational number by exchanging infinitely many digits of pi and e?
PBS
A Hierarchy of Infinities
There are different sizes of infinity. It turns out that some are larger than others. Mathematician Kelsey Houston-Edwards breaks down what these different sizes are and where they belong in The Hierarchy of Infinities.
Crash Course
War - Crash Course Statistics
Today we're going to discuss the role of statistics during war. From helping the Allies break Nazi Enigma codes and estimate tank production rates to finding sunken submarines, statistics have and continue to play a critical role on the...
Crash Course
Controlled Experiments - Crash Course Statistics
We may be living IN a simulation (according to Elon Musk and many others), but that doesn't mean we don't need to perform simulations ourselves. Today, we're going to talk about good experimental design and how we can create controlled...
PBS
How Infinity Explains the Finite
Peano arithmetic proves many theories in mathematics but does have its limits. In order to prove certain things you have to step beyond these axioms. Sometimes you need infinity.
Crash Course
Bayes in Science and Everyday Life - Crash Course Statistics
Today we're going to finish up our discussion of Bayesian inference by showing you how we can it be used for continuous data sets and be applied both in science and everyday life. From A/B testing of websites and getting a better...
Crash Course
ANOVA - Crash Course Statistics
Today we're going to continue our discussion of statistical models by showing how we can find if there are differences between multiple groups using a collection of models called ANOVA. ANOVA, which stands for Analysis of Variance is...
Crash Course
Chi-Square Tests - Crash Course Statistics
Today we're going to talk about Chi-Square Tests - which allow us to measure differences in strictly categorical data like hair color, dog breed, or academic degree. We'll cover the three main Chi-Square tests: goodness of fit test, test...
Crash Course
Science Journalism - Crash Course Statistics
We’ve talked a lot in this series about how often you see data and statistics in the news and on social media - which is ALL THE TIME! But how do you know who and what you can trust? Today, we’re going to talk about how we, as consumers,...
Crash Course
Geometric Distributions and The Birthday Paradox - Crash Course Statistics
Geometric probabilities, and probabilities in general, allow us to guess how long we'll have to wait for something to happen. Today, we'll discuss how they can be used to figure out how many Bertie Bott's Every Flavour Beans you could...
Crash Course
When Predictions Succeed - Crash Course Statistics
In our series finale, we're going to take a look at some of the times we've used statistics to gaze into our crystal ball, and actually got it right! We'll talk about how stores know what we want to buy (which can sometimes be a good...
Crash Course
Regression - Crash Course Statistics
Today we're going to introduce one of the most flexible statistical tools - the General Linear Model (or GLM). GLMs allow us to create many different models to help describe the world - you see them a lot in science, economics, and...
Crash Course
Sampling Methods and Bias with Surveys - Crash Course Statistics
Today we’re going to talk about good and bad surveys. From user feedback surveys, telephone polls, and those questionnaires at your doctors office, surveys are everywhere, but with their ease to create and distribute, they're also...
Crash Course
Playing with Power P-Values Pt 3 - Crash Course Statistics
We're going to finish up our discussion of p-values by taking a closer look at how they can get it wrong, and what we can do to minimize those errors. We'll discuss Type 1 (when we think we've detected an effect, but there actually isn't...
Crash Course
You Know I’m All About that Bayes - Crash Course Statistics
Today we’re going to talk about Bayes Theorem and Bayesian hypothesis testing. Bayesian methods like these are different from how we've been approaching statistics so far, because they allow us to update our beliefs as we gather new...
Crash Course
How P-Values Help Us Test Hypotheses - Crash Course Statistics
Today we're going to begin our three-part unit on p-values. In this episode we'll talk about Null Hypothesis Significance Testing (or NHST) which is a framework for comparing two sets of information. In NHST we assume that there is no...
Crash Course
P-Value Problems - Crash Course Statistics
Last week we introduced p-values as a way to set a predetermined cutoff when testing if something seems unusual enough to reject our null hypothesis - that they are the same. But today we’re going to discuss some problems with the logic...