Course code: 176303 | 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 ] |
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 and
• to correctly interpret the results.
This course is devoted to studying:
• The main distributions of probability
• Statistical inference.
The content of the subject has been divided into the following chapters:
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.
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.
A) General competencies:
a1) Make use of information and communication technologies
a2) Oral and written communication skills and team work.
B) Specific competencies:
b1) Obtain from the data relevant information that is impossible to recognize for non-professionals
b2) Analyze problems with professional criteria based on the management of technical instruments
b3) Give rationality to the analysis and description of any aspect of the economic reality
b4) Evaluate the consequences of different actions and select the best ones according to the objectives
C) Course competencies:
c1) Learn the basics of the calculus of probabilities and distributions of wider application in economics and business administration
c2) Recognize the randomness and choose the most suitable probabilistic model for every situation
c3) Understand the inference techniques and their possibilities in obtaining information and decision making
c4) Analyze statistical problems through the use of a computer program
c5) Develop critical ability in reading external reports
c6) Be able to raise economic problems in statistical terms
c7) Develop efficient work habits
Activities |
Hours |
Hours attend |
60 |
Theoretical sessions |
45 |
Seminars |
15 |
Hours not attend |
90 |
Study and contents’ review |
|
Individual study |
|
Exam, evaluation tests |
|
Office hours |
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Others |
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Continuous evaluation represents up to 40% of the course rating. This evaluation method includes activities as:
• Exercises solved during the computer sessions and exam with the computer
• Exercises solved during the regular sessions
• In-term partial tests
• Tutorials to assess students' individual progress.
Final exam represent a minimum of 60% of the course rating. It will be a written exam including questions on theoretical and applied aspects of the subject. The exam could include problem resolution, interpretations of software outputs, tests questions and/or the development of a particular economic problem in statistical terms. Tests for continuous evaluation are not recoverable.The recovery exam can be taken only for those students who have tried without success to overcome the subject along the semester, taking part in the different evaluation activities, final exam included, scoring at least 3 point out of 10 in both the continuous evaluation and the final exam. The recovery exam will have the same characteristics as the final exam and it will be valued by a maximum of 7 points.
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
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.
Complementary 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