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Measuring Learning Effects
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Quantifying Statistical Dependence: Covariance and Correlation
Explores covariance, correlation, and mutual information in quantifying statistical dependence between random variables.
Dependence Concepts and Copulas
Explores dependence concepts, copulas, correlation fallacies, and rank correlations in statistics.
Basics of Linear Regression
Covers the basics of linear regression, including OLS estimators, hypothesis testing, and confidence intervals.
Causal Systems & Transforms: Delay Operator Interpretation
Covers z Variable as a Delay Operator, realizable systems, probability theory, stochastic processes, and Hilbert Spaces.
Central Limit Theorem: Properties and Applications
Explores the Central Limit Theorem, covariance, correlation, joint random variables, quantiles, and the law of large numbers.
Introduction to Data Analysis
Introduces data analysis basics, statistical concepts, Python libraries, and real-world applications.
Autocorrelation and Periodicity
Explores autocorrelation, periodicity, and spurious correlations in time series data, emphasizing the importance of understanding underlying processes and cautioning against misinterpretation.
Types of Variables and Multinomial Distribution
Introduces types of variables, multinomial distribution, data characteristics, shapes of densities, correlation, and data visualization methods.
Variance, Covariance, and Correlation
Explores variance, covariance, and correlation in statistics, essential for data analysis.
How to Lie with Statistics
Explores scientific misconduct, p-value optimization, and spotting issues with conclusions using real-world examples.