Hypothesis Testing

Two-tailed Test
A comprehensive overview of the two-tailed test in the context of statistical hypothesis testing.
Bayesian Inference
An approach to hypothesis testing that assesses which of two hypotheses, the null (H0) or the alternative (H1), is more likely to be correct, considering prior knowledge.
Critical Value
A key term in statistical hypothesis testing representing the value at which the null hypothesis is rejected at a given significance level.
Hypothesis Testing
An examination of hypothesis testing, a foundational algorithm in statistical inference used for evaluating theoretical claims.
Lagrange Multiplier (LM) Test
Detailed definition and exploration of the Lagrange Multiplier (LM) test in econometrics and statistical hypothesis testing.
One-Tailed Test
A statistical test where the hypothesis is rejected only for sufficiently large or small values of the test statistic, when the direction of the effect is known beforehand.
p-value - Definition and Meaning
The probability that a random draw from the distribution of the test statistic under the null hypothesis would take a value at least as great as the value of the test statistic computed from the sample; the smallest significance level of the test.
Power of a Test
In statistical inference, the probability that a test will reject the false null hypothesis.
Rejection Region
The rejection region is a statistical concept used in hypothesis testing, referring to the range of values that leads to the rejection of the null hypothesis.
Rejection Rule
A decision rule for rejecting the null hypothesis in favour of the alternative based on test statistics or p-values.
Restricted Least Squares Estimator
An estimator method in econometrics used to minimize the sum of squared residuals subject to constraints for hypothesis testing.
Significance Level
A comprehensive overview of the significance level, concept, and its implications in hypothesis testing.
Significance Test
An overview of significance tests, their formulation, and application in the context of linear regression models.
t-test: Definition and Meaning
An overview of the t-test, a statistical hypothesis test used to determine if there is a significant difference between the means of two variables.
Type I and II Errors
An overview of Type I and II errors, their significance in hypothesis testing, and their implications in economic research.
Wald Test
The Wald Test is utilized for testing restrictions on unknown parameters based on the maximum likelihood estimation.