Universidad Pública de Navarra - Nafarroako Univertsitate Publikoa
Public University of Navarre
| Course code: 502203 | Subject title: STATISTICS | ||||
| Credits: 6 | Type of subject: Basic | Year: 1 | Period: 2º S | ||
| Department: Estadística, Informática y Matemáticas | |||||
| Lecturers: | |||||
| UGARTE MARTINEZ, M. DOLORES (Resp) [Mentoring ] | MONTESINO SAN MARTIN, MANUEL [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
- Joint, marginal and conditional distributions of discrete and continuous random variables
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. 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 and Regression
General proficiencies
CB1: Students have demonstrated that they possess knowledge of and understand an area of study, based on general secondary education and usually at a level which, albeit with the support of advanced text books, also includes some aspects which imply knowledge of the latest developments in their field of study.
CB2: Students know how to apply their knowledge to their work or vocation in a professional manner and possess skills which are usually demonstrated by developing and defending arguments and resolving problems in their area of study.
CB3: Students are able to compile and interpret relevant information (normally within their area of study) in order to voice opinions which include reflection on relevant themes of a social, scientific or ethical nature.
CT3: The ability to manage information. To identify information needs and be familiar with the sources, bibliographical resources and services available in order to perform basic research in the field of study. To classify information according to relevancy and analyse it critically.
CT4: A capacity for team work. To define the group¿s objectives, rules of operation and work plan. To participate actively and in a balanced manner in team work, sharing information and results. To plan the agenda of activities and meetings, reviewing the group¿s progress and task integration. Conflict resolution and negotiation. To evaluate the group¿s effectiveness in terms of results achieved.
CT5: Ability of self-learning
CT6: Ability of solving new problems and decision-making capability
Specific proficiencies
Learning outcomes
R1.- To carry out statistical analysis of data to summarize a report in an efficient and accurate way
R2.- To know a statistical package for working with data bases and simulation of random experiments
R3.- To model problems of random properties using probabilities, conditional probabilities and independent events
R4.- To recognize the main discrete and continuous probability distributions, and the main rules of probabilities
R5. Utilizar las técnicas inferenciales clásicas:estimación puntual, por intervalos y contrastes de hipótesis.
R6.- To know basic statistical models used in design of experiments, assessment and environmental problems
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 exercises | 8 | |
| A-5 Lecture | ||
| A-6 Self-study | 75 | |
| A-7 Exams | 4 | |
| A-8 Tutorial | 4 | |
| ... | ||
| Total | 75 | 75 |
Evaluation
| Learning Outcomes | Evaluation Activity | Weight (%) | Second chance |
| R1-R2-R3-R4-R5-R6 | Exam of theory and practice with computer | 50 | Yes |
| R1-R2-R3-R4-R5-R6 | Monitoring Exercises | 40 | No |
| R1-R2-R3-R4-R5-R6 | Active participation in class | 10 | No |
Bibliography
Access the bibliography that your professor has requested from the Library.
Basic
Ugarte, M. D., Militino, A. F., Arnholt, A. T. (2016). Probability and Statistics with R. 2nd Edition. CRC Press/Chapman and Hall.
(This text that can be accessed at the university library for free in electronic format)
Supplementary
Devore, J. (2005) Applied statistics for engineers and scientists. Thomson
Montgomery, D.C. (2002). Probabilidad y Estadística aplicadas a la ingeniería. Limusa-Wiley