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The angle sum rule
Notes on the Bonferroni threshold
Correlated regressors
Thresholding with false discovery rate
Points on floats
Floating point error
The Fourier basis
Fourier without the ei
Fourier without the ei
Introduction to the general linear model
The argument in “Why most published research findings are false”
“The practice of science is profoundly broken”. Discuss? - no - model and test!
Different ways of phrasing the argument
Some terms
What does a “significant” statistical test result tell us?
What is a finding that is likely to be true?
Whether a finding is likely to be true depends on the power of the experiment
Quantifying the effect of bias
The effect of multiple studies
Putting it together
Mutual information as an image matching metric
Notation
Calculating transformations between images
Convolution
Vectors and dot products
Introducing principal component analysis
Refresher on complex numbers
Slice timing correction
An introduction to smoothing
Smoothing as convolution
Some algebra with summation
Sum of sines and cosines
Sums of sinusoids
Thresholding with random field theory
Teaching repo
Formula for rotating a vector in 2D
Vector projection
Angles between vectors
Correlation and projection
Matrix rank
Linear interpolation
p values from cumulative distribution functions
Functions are objects
Global and local scope of Python variables
Brisk introduction to Python
Inserting values into strings
“for” and “while”, “break” and “else:”
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Documentation overview