Universidad Pública de Navarra - Nafarroako Univertsitate Publikoa
Public University of Navarre
| Course code: 172303 | Subject title: STATISTICS II | ||||
| Credits: 6 | Type of subject: Mandatory | Year: 2 | Period: 1º S | ||
| Department: Statistics and Operative Research | |||||
| Lecturers: | |||||
| PANIELLO ALASTRUEY, IRENE [Mentoring ] | |||||
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.
The content of the subject has been divided into the following chapters:
CHAPTER 0. Review of basic notions of probability.
CHAPTER 1. Discrete random variables and probability distributions
CHAPTER 2. Continuous random variables and probability distributions
CHAPTER 3. Introduction to Statistical inference and Sampling
CHAPTER 4. Estimation
CHAPTER 5. Hypothesis testing
CHAPTER 6. Nonparametric statistics
Descriptors
Statistical inference as a tool of making decision in Economy and Business. Basic concepts of probability. Discrete and continuous probability distributions. Introduction to sampling and sampling distributions. Estimate from sample data. Tests of hypotheses for the population parameters. Estimation and contrast for two populations. Analysis of variance. Nonparametric methods. Application to real data of interest in Economy and Business through a computer program.
General proficiencies
- BP02: Ability to apply the adquired knowledge to particular professional or vocational working areas and evidence the necessary proficiencies to elaborate and support arguments and to solve problems related to the field of study.
- BP03: Ability to collect and interpret relevant data (often from students' field of interest) to provide judgements coveying reflections on significant social, scientific or ethic issues.
- BP04: Ability to communicate information, ideas, problems and solutions to a non-necessarily specialised audience.
- GP01: Analysis and synthesis ability.
- GP02: Organizational and planning abilities.
- GP03: Efficient oral and written communications skills in English.
- GP05: Computer knowledge for learning resources.
- GP07: Problem resolution skills.
- GP14: Critical and self-criticism abilites.
- GP17: Ability of self-learning.
Specific proficiencies
- SP03: Manage data to derive information of interest not easily accessible to non-professionals.
- SP04: Analyse business management situations by applying professional criteria based on technical knowledge.
Methodology
Lectures will be devoted to introduce the subject basic contents that will be illustrated with practical activities to help students to develop individual-study habits. Lectures and practice session will be alternated for all chapters.
Practice sessions will have two different approaches. Either they will consist of in-class exercise-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.
Evaluation
Continuous evaluation amounts up to 40% of the subject grade. This evaluation line includes activities such as practice sessions, in-term tests using or without using a computer, interpreting computer outputs arising from problem resolution and tutorial attendance. No continuous evaluation activity is recoverable, but the last one that amounts to 10% of the grade.
The remaining 60% of the subject grade corresponds to the final exam. The final exam is a written exam consisting of questions relative to theoretical and practical aspects of the subject. It may include problem resolution questions, test-type questions about the subject theoretical contents and/or to design how to solve an economic situation by using Statistics-provided tools.
The recovery evaluation is for those students who failed after trying without success to pass the course, even though they participated in the different evaluation activities scheduled along the semester and scored at least 3 points out of 10 in the overall evaluation. The recovery proof will consist of an exam similar to the final exam and the last continuous evaluation activity.
Agenda
CHAPTER 1. Discrete random variables and probability distributions
- Discrete random variables
- Probability distributions for discrete random variables: probability and distributions functions.
- Characteristics of discrete random variable: expectancy and variance
- Binary and Binomial distributions
- Poisson Probability distribution
- Other distributions
CHAPTER 2. Continuous random variables and probability distributions
- Continuous random variables
- Probability distributions for continuous random variables: density and distribution functions.
- Characteristics of continuous random variable: expectancy and variance
- Normal distribution
- Normal distribution approximation for Binomial and Poisson distributions
- Other distributions
CHAPTER 3. 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 4. 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 5. 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 a statistical software
CHAPTER 6. Nonparametric statistics.
- Introduction to nonparametric methods
- Goodness-of-fit tests
- Independence test
- Tests for comparing two populations
- Nonparametric hypothesis testing using a statistical software
Bibliography
Access the bibliography that your professor has requested from the Library.
Basic text
Newbold, P, Carlson, W.L. y Thorne, B. (2007). Statistics for Business and Economics. 6th Edition. Editorial Prentice Hall.
Newbold, P, Carlson, W.L. y Thorne, B. (2008). Estadística para Administración y Economía. Editorial Prentice Hall.
Mi Aulario will be the course web page providing also a communication channel between instructor and students. There students will find the necessary material for both theorical and computer lab sessions, together with data files and any other additional material.
Additional bibliography
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