 |  |  |
| STAT0064-3 | Statistics of experimental data in physics
|

 |
| Duration : | 30h Th, 15h Pr |
 |
| Number of credits : |
|
 |
| Lecturer : | N... |
 |
| Substitute(s) : | Christel Ruwet, Gentiane Haesbroeck |
 |
Language(s) of instruction :
 |
| French language |
 |
Organisation and examination :
 |
| Teaching in the first semester, review in January |
 |
Course contents :
 |
| The course begins with the presentation of some basic notions in statistics and some means to organize and represent a set of data. We approach then in a simple way the probability theory. Some well-known laws of probability (discreet and continuous) are also studied. The notions of error and uncertainty, very important in the interpretation of the results, are presented, as well as the formulae of progagation. The course continues with some methods of adjustment (linear or not) and the statistical tests allowing to decide if an adjustment is more adequate or better than the other one. Finally, the method of Monte Carlo to calculate a numerical value by random processes is exposed. The illustrations of some of the presented procedures are made with the statistical software R (freely available via http://cran.r-project.org/). |
 |
Learning outcomes of the course :
 |
| After the course, students should master the basic notions of descriptive statistics and probability with the aim of applying them in the contemporary physics. They should be able of expressing the results of a measure by taking into account the uncertainty associated with this measure. They would also be familiarized to the techniques of adjustment. |
 |
Prerequisites and co-requisites/ Recommended optional programme components :
 |
| The tools of the mathematical analysis (differential and integral calculus mainly) and those of the linear algebra (as the matrix calculation for example), which are taught during the first two years of bachelor, are necessary. |
 |
Planned learning activities and teaching methods :
 |
| The part "theory" consists of a presentation ex-cathedra. Practical classes are dedicated to exercises, with an orientation towards diverse physical applications.
The distribution between sessions of theory and sessions of exercises is not fixed in advance and will depend on the progress in the theoretical part. Students will be informed about it in time. |
 |
Mode of delivery (face-to-face ; distance-learning) :
 |
| |
 |
Recommended or required readings :
 |
| There are no specific notes for this course but the following books recover the whole covered material:
- Data Reduction and error analysis for the physical sciences. P.R. Bevington and D.K. Robinson. McGraw-Hill;
- Statistics, a guide to the use of statistical methods in the physical sciences. R.J.Barlow. Wiley & Sons.
Transparent and exercise sheets will be exploited during some courses.When it will be the case, these will be placed on-line on MyULg at the latest the day before the course. |
 |
Assessment methods and criteria :
 |
| The examinations of 1th and 2nd sessions take place in writing. For each session, one of the questions will concern the theoretical notions seen in the course. The questions will appeal to the spirit of reflection and reasoning of student as well as on its abilities of calculations. |
 |
Work placement(s) :
 |
| |
 |
Organizational remarks :
 |
| |
 |
Contacts :
 |
| C. RUWET, Department of Mathématics, Building B37 (Grande Traverse, 12, 4000 Liège), Room 0/67.
Phone : 04/336.94.06. E-mail : cruwet@ulg.ac.be
G. HAESBROECK, Department of Mathématics, Building B37 (Grande Traverse, 12, 4000 Liège), Room 0/60.
Phone : 04/336.95.94. E-mail : G.Haesbroeck@ulg.ac.be |
 |