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Statistics Essentials: The t-testIntroduces the t-test for assessing categorical effects on quantitative outcomes, covering hypothesis testing, assumptions, and alternative tests.
Property TestingCovers the concept of property testing using statistical methods.
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.
Estimation, Shrinkage and PenalizationCovers estimation, shrinkage, and penalization in statistics for data science, emphasizing the importance of balancing bias and variance in model estimation.