Universidad Pública de Navarra - Nafarroako Univertsitate Publikoa
Public University of Navarre
| Course code: 501201 | Subject title: STATISTICS | ||||
| Credits: 6 | Type of subject: Basic | Year: 1 | Period: 2º S | ||
| Department: Statistics and Operative Research | |||||
| Lecturers: | |||||
| FERNANDEZ MILITINO, ANA [Mentoring ] | |||||
Contents
Descriptive Statistics
- Exploring Data
Probabilidad
- Sampling space and events
- Condicional probability, the law of total probability, Bayes theorem and independent events
- Probability density function and cummulative density function. Median, mode, percentiles and moments
- Discrete random variables: Uniform, binomial and Poisson. Continuos random variables: Uniform, exponential, gamma and normal
Inferencial Statistics
- Itroduction to sampling distributions. Parameters and estimators.
- Chi-square distribution and t-Student
- Sampling distribution of the mean, of the difference of means, proportion, difference of proportions
- F Distribution
- Sampling distribution of the variance and of the ratio of variances
- Point Estimation and properties. Mean squared error
- Confidence intervals introduction. Confidence intervals of means, difference of means, proportions, difference of proportions, variances and ratio of variances
- Hypothesis testing. Introduction. Type I and type II errors. P-value and power of a test. Hyphotesis testing for means, proportions and variances
Statistical Modelling
- Analysis of variance
Descriptive statistics and statistical software -R- will be dealt with throughout the course.
General proficiencies
CT4: Ability of managing new information
CT5: Ability of working as a team
CT6: Ability of self-learning
CT7: Ability of solving new problems and decision-making capability
Specific proficiencies
CG7: Knowledge of basic, scientific and technological subjects to allow for a continuous learning progress
CG8: Competence of solving new problems with creativity, personal initiative, methodology and critical reasoning.
CE1: Ability of solving mathematical problems of Engineering. Aptitude to apply knowedge of Linear Algebra; Geometry; Differential Geometry, Differential Equations and Partial Differential Equations; Numerical methods, Algorithms, Statistics and Optimization
CE3: Basic knowledge of computers and computer programming, operative systems, data bases and specific software for Engineering
Methodology
|
Methodology - Activity |
Attendance |
Self-study |
|
A-1 Theoretical clases |
44 |
|
|
A-2 Computer Labs |
14 |
|
|
A-3 Debates, group work, etc |
1 |
|
|
A-4 Monitoring proofs |
8 |
|
|
A-5 Lecture |
|
|
|
A-6 Self-study |
|
75 |
|
A-7 Exam, evalutaion proofs |
4 |
|
|
A-8 Tutorial |
4 |
|
|
... |
|
|
|
Total |
75 |
75 |
Evaluation
| Proficiency Evaluation | Criteria | Instrument | Weight |
| CT4-CT5 | Attendance and engagement in the course. Participation in monitoring proofs | Teacher | 10% |
|
CT4-CT6-CT7-CG7-CG8-CE1-CE3 |
Identification of key concepts and comprehension of theoretical knowledge of the subject
|
First evaluation proof with teorical questions and exercises | 30% |
| CT4-CT6-CT7-CG7-CG8-CE1-CE3 |
Knowledge of all the material explained in the course. Even if the student success the previous evaluation proof, examination can be done in one or two different dates. |
Final exam with theoretical questions and computer exam | 60% |
Agenda
Week 1: Descriptive Statistics
Weeks 2-5: Probability
Weeks 6-14: Inferencial Statistics
Week 15: Analysis of variance
Bibliography
Access the bibliography that your professor has requested from the Library.
TEXTBOOK:
Ugarte, M. D., Militino, A. F., Arnholt, A. T. (2008). Probability and Statistics with R. CRC Press/Chapman and Hall.
Devore, J. (2005) Applied statistics for engineers and scientists. Thomson
Montgomery, D.C. (2002). Probabilidad y Estadística aplicadas a la ingeniería. Limusa-Wiley