Statistics Essentials: The t-testIntroduces the t-test for assessing categorical effects on quantitative outcomes, covering hypothesis testing, assumptions, and alternative tests.
Pizza Making ProcessCovers the process of making pizza, sampling, averages, dispersion, residuals, and normal distribution.
Inference and Mixed ModelsCovers point estimation, confidence intervals, and hypothesis testing for smooth functions using mixed models and spline smoothing.
Central Tendency and DispersionExplores replicates, visualization methods, central tendency measures, outliers, dispersion, averages, residuals, and unbiased estimators.
Property TestingCovers the concept of property testing using statistical methods.
Error Estimation in LHSCovers error estimation in Latin Hypercube Sampling, emphasizing the importance of accurate variance estimation.
Independence and CovarianceExplores independence and covariance between random variables, discussing their implications and calculation methods.
Optimization and SimulationCovers the Metropolis-Hastings algorithm and gradient-based approaches for biasing searches towards higher likelihood values.
Probability and StatisticsCovers moments, variance, and expected values in probability and statistics, including the distribution of tokens in a product.
