Statistical Methods I 120311-D
Laboratorium (LAB) Semestr letni 2023/24

Selected sampling distributions and their applications in the statistical inference.

Derivation of estimators: method of moments and maximum likelihood method.

Properties of estimators: unbiasedness, consistency and efficiency.

Statistical tests: I and II type errors, power of test, Neymann-Pearson lemma, likelihood ratio test.

Multivariate distributions of random variables: joint probability functions, marginal and conditional distributions, moments of multidimensional variables.

Statistical inference in multivariate distributions.

One-way analysis of variance; tests of normality and constant variance assumptions; Mann-Whitney and Kruskal-Wallis tests.

Multi-way analysis of variance; analysis of covariance.

Regression models: assumptions of the ordinary least squares estimation; tests of the assumptions; consequences of violation.

Regression models: estimation under heteroscedasticity, serial correlation or endogeneity.

Regression models with a discrete dependent variable: logit/probit models, ordered logit/probit models.