Bayesian Updating: From Prior and Likelihood to Posterior
An explanation of Bayes' formula, base rates, sequential updating, dependent evidence, and the limits of Bayesian models.
An explanation of Bayes' formula, base rates, sequential updating, dependent evidence, and the limits of Bayesian models.
The central limit theorem, its assumptions and limitations, and why standardized sample means often approach a normal distribution.
What makes a result trustworthy for its intended use?
A worked mean test connects p-values, power, practical effects, confidence intervals, multiple comparisons, and repeated peeking in model evaluation.
Build a linear predictor, calculate residuals, and follow gradient updates; closed-form estimation and statistical inference are covered separately.
Approximate sample-size formulas for estimating a population mean or proportion under stated confidence and margin-of-error assumptions.
A map from probability models and random variables to sampling, estimation, and statistical decisions.