Calculating the expected range of normal samples using Python and numerical integration.
Explores the probability of extreme 'six sigma' events using the Student t distribution, showing it's not monotonic and depends heavily on degrees of freedom.
A detailed proof walkthrough of the De Moivre–Laplace theorem, the earliest version of the central limit theorem for the binomial distribution.
A statistical analysis of estimating a normal distribution using binary (yes/no) predictions from multiple scientists, applied to a temperature forecasting problem.
A technical analysis verifying a statistical calculation from an XKCD comic, involving normal distribution probabilities and R code.
A critique of the Shapiro-Wilk normality test, arguing it's often misused due to the Central Limit Theorem and is rarely the scientifically relevant question.
