Statistical Inference

Objectives

This curricular unit aims to extend the knowledge acquired in Statistics and Probability Distributions, as well as supplying to the students theoretical and practical knowledge about more advanced methodologies on parametric inference. The contents of the curricular unit include inference tools such as statistics, estimators, sampling distributions, point and interval estimation, and hypothesis testing. Additionally, some issues of asymptotic distributions are addressed. The students will acquire competences related to point estimators and their properties, and will learn how to construct confidence intervals and perform hypothesis testing on population parameters, such as the mean, the variance, the difference between means, the ratio of variances, the proportion, the difference between proportions and the correlation coefficient. Moreover, the analysis of variance is introduced. The students should clearly understand the conditions of applicability of each statistical procedure.