Universidad Carlos III de Madrid
Statistics
22115535
Iowa State Course Substitution
Engineering Statistics
STAT 305
Course Info
International Credits:
6.0
Converted Credits:
3.5
Country:
Spain
Language:
English
Course Description:
STUDENTS ARE EXPECTED TO HAVE COMPLETED
All students in the Statistics course are expected to have completed the Calculus I course. It is highly advisable that
they have also completed the courses on Linear Algebra and Calculus II.
COMPETENCES AND SKILLS THAT WILL BE ACQUIRED AND LEARNING RESULTS.
Once successfully having studied this subject, the students should be able to:
 Analize problems involving random phenomena
 Define populations for a statistical study
 Build Hypothesis about a distribution
 Estimate and test hypothesis about the paramters of the chosen model
 Evaluate how well does the model fit to reality
 Understand the limitations of the methods that have been studied and the conditions under which they lead to wrong
conclusions
DESCRIPTION OF CONTENTS: PROGRAMME
BLOCK I: PROBABILITY
1. Introduction to Probability
1.1 Introduction
1.2 Random phenomena
1.3 Definition of probability and properties
1.4 Conditional probability
1.5 Bayes Theorem
2. Random variables
2.1 Definition of random variable
2.2 Discrete random variables
2.3 Continuous random variables
2.4 Characteristic features of a random variable
2.5 Transformations of random variables
2.5 Random vectors
3. Distribution models
3.1 Binomial distribution
3.2 Poisson distribution
3.3 Uniform distribution (continuous)
3.4 Exponential distribution
3.5 Normal distribution (with CLT)
3.6 Multivariate normal distribution
BLOCK II: STATISTICS
4. Parameter Estimation
4.1 Introduction and basic concepts
4.2 Sampling distributions
4.3 Maximum Likelihood Estimation
4.4 Properties of Maximum Likelihood Estimators
4.5 Inference based on MLEs
5. Statistical Inference
5.1 Introduction
5.2 Estimators and their distributions
5.3 Confidence Intervals
5.4 Hypothesis testing
5.5 Particualr tests on a single sample
5.6 Comparison of two populations
BLOCK III: REGRESSION
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6. Linear regression
6.1 Introduction
6.2 Simple linear regression
6.3 Multiple linear regression
LEARNING ACTIVITIES AND METHODOLOGY
 Lectures: introducing the theoretical concepts and developments with examples, 2.2 ECTS
 Problem solving sessions: 2.2 ECTS
 Computer (practical) sessions: 0.6 ECTS  4 SESSIONS
 Evaluation sessions (continuous evaluation and final exam): 1 ECTS
ASSESSMENT SYSTEM
There will be continuous evaluation by means of two partial examinations. Each partial examination will be composed
of problems and multiplechoice questions. There will be some questions about the computer sessions at those
exams.
If the grade obtained at the continuous evaluation is 6 or higher, the student should not attend the final exam and
his/her final grade will be the grade of the continuous evaluation.
If the grade obtained at the continuous evaluation is lower than 6, the student will have to attend the final exam. For
those students, the final grade will be computed giving a 40% weight to the partial examinations, and a 60% weight to
the grade at the final exam.
The grade for the students attending the extraordinary examination will be the grade obtained at such exam.
% endoftermexamination: 60
% of continuous assessment (assigments, laboratory, practicals…): 40
BASIC BIBLIOGRAPHY
 Douglas C. Montgomery and George C. Runger Applied Statistics and Probability for Engineers (3rd ed), Johan
Wiley & Sons, 2003
 Navidi, W. Statistics for Engineers and Scientists, McGrawHill, 2006
ADDITIONAL BIBLIOGRAPHY
 Daniel Peña Regresión y Diseño de Experimentos, Alianza Editorial, 2002
 John D. Enderle, David D. Farden, Daniel J. Krause Basic Probability Theory for Biomedical Engineers, Morgan &
Claypool, 2006
 John D. Enderle, David D. Farden, Daniel J. Krause Advanced Probability Theory for Biomedical Engineers, Morgan
& Claypool, 2006
 Kristina M. Ropella Introduction to Statistics for Biomedical Engineers, Morgan & Claypool Publishers, 2007
Review
 Evaluation Date:
 October 4, 2017
 Evaluated:
 Amy Froelich
 Comments:

Calculusbased course covers most topics in STAT 305 with engineering applications.