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Lecture
Hypothesis Testing: Statistical Disproof and Probability Calculation
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Statistical Hypothesis Testing: Unilateral and Bilateral Pairs
Explores unilateral and bilateral pairs in statistical hypothesis testing, covering critical values, test statistics, and p-values.
Confidence Intervals and Hypothesis Testing
Explores confidence intervals, hypothesis testing, and decision-making using test statistics and p-values.
Detection & Estimation
Covers binary classification, hypothesis testing, likelihood ratio tests, and decision rules.
Probability Distributions in Environmental Studies
Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.
Linear Regression: Estimation and Inference
Explores linear regression estimation, linearity assumptions, and statistical tests in the context of model comparison.
Hypothesis Testing in Statistics
Explores hypothesis testing, significance levels, errors, GWAS, optimal testing, and point estimation in statistics.
Confidence Intervals and Hypothesis Testing
Explores confidence intervals, hypothesis testing, and ROC curves in statistical analysis.
Hypothesis Testing: T-Test and Chi-Square Test
Explains hypothesis testing using T-test and Chi-square test to compare means and assess independence of variables.
Hypothesis Testing: State of Nature
Explores hypothesis testing, emphasizing the state of nature and the importance of choosing the most powerful test.
Describing Data: Statistics & Uncertainty
Introduces descriptive statistics, uncertainty quantification, and variable relationships, emphasizing the importance of statistical interpretation and critical analysis.