Factor analysis, like almost all forms of data analysis, is just matrix factorization. Let be a matrix containing observations of variables (or indicators). We suppose that the variables in can be written as linear combinations of unobserved (or latent) factors, … Read more
You don’t actually have to do multiple comparisons to have a multiple comparisons problem — comparisons that you might hypothetically have done maybe if the data had been different perhaps will do it. I’ll show you.
Suppose that you’re conducting … Read more
The Iowa Gambling Task has always been one of my favorite tasks, if only because it’s so much fun to analyze. In the standard version of the task, subjects select a card on each trial from one of four decks … Read more
A while back, a friend of mine asked me to help out in a longitudinal project trying to predict cognitive decline in (otherwise healthy) older adults (Mulligan, Areshenkoff, & Smart, 2015). One of the measures we used was resting state … Read more
One can argue the choice of when to stop collecting data should be irrelevant to our choice of parameter estimates, since all information should be contained in the likelihood function. This principle underlies some criticisms of standard hypothesis testing, where … Read more
One major research program in our lab aims to understand how the motor system makes use of task related and perceptual information when planning and executing movement. For example, a right handed “reach and grasp” action is executed more quickly … Read more
This page contains an assortment of useful or informative examples/counterexamples in probability and statistics. I plan to continue updating this page as I come across new examples.
A Bayes factor which contradicts the posterior
The following is an example of … Read more