Statistical Inference/Hypothesis Testing

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Statistical Inference
Probability Theory
Transformations and Expectations
Common Families of Distributions
Multiple Random Variables
Properties of a Random Sample
Principles of Data Reductions
Point Estimation
Hypothesis Testing
Interval Estimation
Asymptotic Evaluations
Analysis of Variance and Regression
Regression Models

Methods of Finding Tests

Likelihood Ratio Tests

Bayesian Tests

Union-Intersection and Intersection-Union Tests

Methods of Evaluating Tests

Error Probabilities and the Power Function

Most Powerful Tests

Sizes of Union-Intersection and Intersection-Union Tests

p-Values

Loss Function Optimality

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