Probability And Mathematical Statistics Theory Applications And Practice In R Today
This allows the statistician to check the mathematical assumptions (normality of residuals, linearity) visually and statistically. If the assumptions are violated, R provides tools to apply transformations or robust standard errors, linking mathematical theory to practical corrections.
Unlike frequentist statistics, Bayesian methods incorporate prior knowledge. Packages like rjags and rstan allow users to perform complex Markov Chain Monte Carlo (MCMC) simulations. This allows the statistician to check the mathematical
# Beta(1,1) prior (uniform) alpha_post_B <- 1 + sum(treatment) beta_post_B <- 1 + length(treatment) - sum(treatment) 1) prior (uniform) alpha_post_B <