Checking date: 04/06/2021


Course: 2021/2022

Statistical inference methods I
(13702)
Study: Bachelor in Statistics and Business (203)


Coordinating teacher: LILLO RODRIGUEZ, ROSA ELVIRA

Department assigned to the subject: Department of Statistics

Type: Basic Core
ECTS Credits: 6.0 ECTS

Course:
Semester:

Branch of knowledge: Social Sciences and Law



Objectives
1. Knowledge on expected properties for point estimators. 2. Estimation of unknown parameters by: the maximum likelihood method, the moments method and the resampling techniques. 3. Construct confidence intervals and parametric hypotheses tests. 4. Understand the difference between classic inference and bayesian inference. 5. Obtain computer skills related to the previous points. CROSS OBJECTIVES 1. Ability to do comparisons among different alternatives- 2. to Work in groups. 3. To be capable of using creative thoughts when it comes to solve problems. 4. Critical Reasoning.
Skills and learning outcomes
Description of contents: programme
1. Basic notions of statistical inference. 1.1. Random sample and estimators. 1.2. Sampling distributions of statistics for one and two populations. 2. Introductions to estimators. 2.1. Properties of estimators. 2.2. Moment method. 2.3. Maximun likehood method. 3. Confidence intervals . 3.1. Confidence intervals for one sample. 3.2. Confidence intervals for two samples. 4. Introduction to the hypothesis tests. 4.1. Basic definitions 4.2 Null and alternative hypothesis. 4.3. Type I and Type II errors. 4.4. Power in a test. 4.5 Methodology related to a hypothesis test. 4.6 Definition and interpretation of the p-value.
Learning activities and methodology
Theory (4 ECTS). Lectures with available material posted in internet. Problems (2 ECTS) Problem Solving classes. Computer work in classrooms conditioned for that purpose. Work assignments in groups.
Assessment System
  • % end-of-term-examination 35
  • % of continuous assessment (assigments, laboratory, practicals...) 65
Calendar of Continuous assessment
Basic Bibliography
  • Berry, D. E.. Statistics, a bayesian perspective. Duxbury Press.
  • Casella, G. y Berger, R. L.. Statistical Inference. Wadsworth and brooks.
  • Durá Peiró, J.M. y López Cuñat, J. Fundamentos de Estadística. Estadísitca descriptiva y modelos probabilísticos para la inferencia.. Ariel.
  • Efron, B. y Tibshirani, R.J.. An introduction to the bootstrap. Chapman y Hall.
  • Peña, D.. Introducción a la Estadística. Alianza Editorial.
  • Ruiz-Maya, L y Martín-Pliego, F.J. . Fundamentos de Inferencia Estadística. Paraninfo. 2005
Additional Bibliography
  • Gonick, L. y Smith , W.. La Estadística en cómics.. Zembrera Zariquiey.
  • Rice, J.. Mathematical Statistics and data Analysis.. Brooks & Cole..
  • Vélez, R. y García, A.. Principios de Inferencia Estadística.. UNED.

The course syllabus may change due academic events or other reasons.


More information: http://www.est.uc3m.es/esp/nueva_docencia/getafe/ciencias_estadisticas/TecnicasInferenciaEstadistica/