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Lecture
Hypothesis Testing & Confidence Intervals
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Related lectures (30)
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Confidence Intervals and MLE Limit Theorems
Explores constructing confidence intervals and MLE limit theorems for large samples.
Sampling: Inference and Statistics
Explores sampling in inferential statistics, emphasizing the impact of sample size and randomness on inference accuracy.
Confidence Intervals: Gaussian Estimation
Explores confidence intervals, Gaussian estimation, Cramér-Rao inequality, and Maximum Likelihood Estimators.
Distribution Theory of Least Squares
Explores the distribution theory of least squares estimators in a Gaussian linear model, focusing on precision and confidence intervals construction.
Parameter Estimation
Discusses parameter estimation, including checks, quality, distribution, and statistical properties of estimates.
Hypothesis Testing: A Different Perspective
Delves into a different perspective on hypothesis testing, emphasizing the p-value and significance levels.
Understanding Statistics & Experimental Design
Covers basic probability theory, signal detection theory, statistics, and meta-statistics, explaining effect sizes, power, and hypothesis testing.
Estimation Criteria
Covers criteria for estimating parameters, emphasizing the importance of consistency, bias, variance, and efficiency of estimators.
Estimating Parameters: Confidence Intervals
Explores estimating parameters through confidence intervals in linear regression and statistics.
Likelihood Ratio Tests: Optimality and Extensions
Covers Likelihood Ratio Tests, their optimality, and extensions in hypothesis testing, including Wilks' Theorem and the relationship with Confidence Intervals.