Uploaded April 2012 | Updated September 2026, 2 hours ago
I have an updated and revised (slower and otherwise improved) version of this video available at: youtu.be/cTolF3G5a1I
A look at the Pearson correlation coefficient (r), the coefficient of determination (r^2), some of their properties and a few examples.
One of the data sets used is estimated from a figure given in:
Singer et al. (2004). Empathy for pain involves the affective but not sensory components of pain. Science, 303:1157--1162.
I have an updated and revised (slower and otherwise improved) version of this video available at: youtu.be/cTolF3G5a1I
A look at the Pearson correlation coefficient (r), the coefficient of determination (r^2), some of their properties and a few examples.
One of the data sets used is estimated from a figure given in:
Singer et al. (2004). Empathy for pain involves the affective but not sensory components of pain. Science, 303:1157--1162.



![The Relationship Between the Binomial and Poisson Distributions
A look at the relationship between the binomial and Poisson distributions (roughly, that the Poisson distribution approximates the binomial for large n and small p). I work through some calculations in an example, showing that the approximate probability from the Poisson can be quite close to the exact probability from the binomial distribution.
(The example used involves albinism. Albinism affects all races, but the rates of albinism vary a little around the world. In Europe and North America, roughly 1 in 20,000 people have some form of albinism).
For those using R, here is the R code to find the probabilities for the example in this video:
Finding the probability of getting exactly 2 with albinism in a random sample of 1000 Europeans.
Binomial (exact):
dbinom(2,1000,1/20000)
[1] 0.001187965
Poisson (approximate):
dpois(2,1000*1/20000)
[1] 0.001189037 The Relationship Between the Binomial and Poisson Distributions](https://i.ytimg.com/vi/eexQyHj6hEA/mqdefault.jpg)






