## Public University of Navarre

Academic year: 2024/2025 | Previous academic years:  2023/2024  |  2022/2023  |  2021/2022  |  2020/2021
 Course code: 176303 Subject title: STATISTICS II Credits: 6 Type of subject: Mandatory Year: 2 Period: 1º S Department: Estadística, Informática y Matemáticas Lecturers: ETXEBERRIA ANDUEZA, JAIONE (Resp)   [Mentoring ]

Partes de este texto:

### Module/Subject matter

Quantitative Methods / Quantitative Methods

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### Contents

The aim of this subject is that students learn:

- to consider an economic problem in statistical terms,

- to solve manually and by means of the statistical program R-Commander,

- to correctly interpret the results,

- to elaborate study reports.

This course is devoted to study:

- The main distributions of probability

- Statistical inference.

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### Learning outcomes

RA01: Identify relevant economic information sources for the company and their content.
RA02: Understand economic institutions as the result and application of theoretical or formal representations of how the economy works.
RA03: Derive relevant information for the company from data that cannot be recognized by non-professionals.
RA20: Plan, organize, and control global management projects or those of the different functional areas of the company.
RA25: Use personal, social, and methodological knowledge, skills, and abilities to issue advisory reports on specific situations of companies and markets.
RA29: Develop the skills necessary to understand and apply quantitative techniques to the interpretation and resolution of socioeconomic problems.

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### Methodology

Learning Activities:

Lectures A-1

Practice sessions A-2

Individual or teamwork projects or problem-solving A-3

Individual or small group tutorials A-4

Individual work A-5

Exam A-6

Self-evaluation  A-7

Lectures will be devoted to introducing the subject basic contents that will be illustrated with practical activities to help students to develop individual-study habits. Lectures and practice sessions will be alternated for all chapters.

Practice sessions will have two different approaches. Either they will consist of in-class problem-solving sessions of some proposed exercises by the professor or the students or they will consist of practice sessions with computers so that students will be required to use some statistical software as a tool to solve problems and practical cases.  Lesson notes, as well as any other teaching material, will be available in MiAulario.

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### Evaluation

 Learning outcome Assessment activity Weight (%) It allows test resit Minimum required grade In-term tests 30% Yes No Final exam 70% Yes No

The evaluation method may include activities such as practice sessions, in-term tests made with or without a computer, problem-solving based on computer-obtained outputs, and attendance during office hours.
The final exam will include questions about theoretical and practical topics studied in the course. These questions may consist of problem-solving questions, test-type questions, and/or solving economic problems using statistical tools.
The makeup exam will contain questions about theoretical and practical topics studied in the course. This exam retakes the whole course and therefore its weight is 100%.

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### Agenda

CHAPTER 0. Basic notions of Probability. Discrete random variables and probability distributions

- Discrete random variables

- Probability distributions for discrete random variables: probability and distributions functions.

- Characteristics of discrete random variables: expectancy and variance

- Binary and Binomial distributions

- Poisson Probability distribution

- Other distributions

CHAPTER 1. Continuous random variables and probability distributions

- Continuous random variables

- Probability distributions for continuous random variables: density and distribution functions.

- Characteristics of continuous random variables: expectancy and variance

- Normal distribution

- Normal distribution approximation for Binomial and Poisson distributions

- Other distributions

CHAPTER 2. Introduction to Statistical inference and Sampling

- Statistical inference as a tool of decision making

- Concepts of sampling

- Sampling with replacement and sampling in finite populations

- Main sampling distributions: sample mean and sample proportion

CHAPTER 3. Estimation

- Point estimation

- Desirable properties of an estimator

- Estimation methods

- Confidence interval estimation: confidence level and error margin

- Confidence interval estimation for single population parameters

- Confidence interval estimation for comparing two populations' parameters

- Sample size determination

- Estimation using a statistical software

CHAPTER 4. Hypothesis testing.

- Concepts of hypothesis testing

- Parametric tests for single population parameters

- Parametric tests for comparing two populations' parameters

- Analysis of variance

- Hypothesis testing using statistical software

CHAPTER 5. Nonparametric statistics.

- Introduction to nonparametric methods

- Goodness-of-fit tests

- Independence test

- Tests for comparing two populations

- Nonparametric hypothesis testing using statistical software

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### Bibliography

Access the bibliography that your professor has requested from the Library.

Basic text

Newbold, P, Carlson, W.L. y Thorne, B. (2013). Statistics for Business and Economics. 6th Edition. Editorial Prentice Hall.

Newbold, P, Carlson, W.L. y Thorne, B. (2013). Estadística para Administración y Economía. Editorial Prentice Hall.

Mi Aulario will be the course web page provides also a communication channel between instructor and students. There students will find the necessary material for both theoretical and computer lab sessions, together with data files and any other additional material.

Levin, Rubin, Balderas, Del Valle y Gómez (2004) Estadística para la administración y la economía. Editorial Prentice Hall.

Lind D. A., Marchal W. G. y Wathen S. A. (2008) Estadística Aplicada a los negocios y a la Economía. Editorial McGraw " Hill

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English.

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