Administracja Centralna Uczelni - Wymiana międzynarodowa (S1)
Sylabus przedmiotu Optimization Approach to Statistical Decision-Making:
Informacje podstawowe
| Kierunek studiów | Wymiana międzynarodowa | ||
|---|---|---|---|
| Forma studiów | studia stacjonarne | Poziom | pierwszego stopnia |
| Tytuł zawodowy absolwenta | |||
| Obszary studiów | — | ||
| Profil | |||
| Moduł | — | ||
| Przedmiot | Optimization Approach to Statistical Decision-Making | ||
| Specjalność | przedmiot wspólny | ||
| Jednostka prowadząca | Katedra Mechaniki Konstrukcji | ||
| Nauczyciel odpowiedzialny | Zbigniew Sekulski <Zbigniew.Sekulski@zut.edu.pl> | ||
| Inni nauczyciele | |||
| ECTS (planowane) | 6,0 | ECTS (formy) | 6,0 |
| Forma zaliczenia | zaliczenie | Język | angielski |
| Blok obieralny | — | Grupa obieralna | — |
Formy dydaktyczne
Wymagania wstępne
| KOD | Wymaganie wstępne |
|---|---|
| W-1 | Fundamentals of optimization, fundamentals of probability, fundamentals of statistics. |
Cele przedmiotu
| KOD | Cel modułu/przedmiotu |
|---|---|
| C-1 | A objective of the course is give to students of modern methods for the best possible use of the observations for purposes of statistical test and estimation procedures as well as optimal decision-making in the final. |
Treści programowe z podziałem na formy zajęć
| KOD | Treść programowa | Godziny |
|---|---|---|
| ćwiczenia audytoryjne | ||
| T-A-1 | Discussion of some practical problems related to: definition of the statistical decision problem; distribution function of random variable; decision rule concept; a randomized decision rule; loss, cost, and risk functions; Bayes and minimax solutions of the decision problem; complete classes of decision rules; relation to von Neumann's theory of games; formulation and testing of statistical hypothesis; regression and correlation analysis. | 12 |
| T-A-2 | Discussion of some practical problems related to: ordering and ranking of performance between decision functions; admissibility; admissible decision functions, inadmissible decision functions; feasible and admissible risk functions; Pareto domination; Pareto frontier; Bayes optimality; minimaxity; some relationships between the concepts of admissibility, Bayes optimality, and minimaxity; solution methods of optimization problems of statistical decisions. | 12 |
| T-A-3 | Evaluation of practical competence. | 6 |
| 30 | ||
| wykłady | ||
| T-W-1 | Definition of the statistical decision problem; distribution function of random variable; decision rule concept; a randomized decision rule; loss, cost, and risk functions; Bayes and minimax solutions of the decision problem; complete classes of decision rules; relation to von Neumann's theory of games; formulation and testing of statistical hypothesis; regression and correlation analysis; discussion of some special cases. | 14 |
| T-W-2 | Ordering and ranking of performance between decision functions; admissibility; admissible decision functions, inadmissible decision functions; feasible and admissible risk functions; Pareto domination; Pareto frontier; Bayes optimality; minimaxity; some relationships between the concepts of admissibility, Bayes optimality, and minimaxity; solution methods of optimization problems of statistical decisions; discussion of some special cases. | 14 |
| T-W-3 | Evaluation of knowledge. | 2 |
| 30 | ||
Obciążenie pracą studenta - formy aktywności
| KOD | Forma aktywności | Godziny |
|---|---|---|
| ćwiczenia audytoryjne | ||
| A-A-1 | Class participation and active engagement for developing and refining students ability to critically and productively engage with the subjects being studied. | 30 |
| A-A-2 | Preparation of homeworks and projects. | 52 |
| A-A-3 | Preparation to skills evaluation. | 5 |
| 87 | ||
| wykłady | ||
| A-W-1 | Class participation and active engagement. | 30 |
| A-W-2 | Own study of the literature. | 23 |
| A-W-3 | Preparation to the knowledge evaluation. | 10 |
| 63 | ||
Metody nauczania / narzędzia dydaktyczne
| KOD | Metoda nauczania / narzędzie dydaktyczne |
|---|---|
| M-1 | Lectures |
| M-2 | Exercises |
Sposoby oceny
| KOD | Sposób oceny |
|---|---|
| S-1 | Ocena formująca: Student attendance and participation in class sessions play a vital role in successful course completion. |
| S-2 | Ocena podsumowująca: Students will be expected to complete written tests, projects and homework assignments as specified by the teacher. |
Zamierzone efekty uczenia się - wiedza
| Zamierzone efekty uczenia się | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób oceny |
|---|---|---|---|---|---|---|
| WM-WTMiT_1-_??_W01 Upon successful completion of this course, the students will be prepared to apply optimization methods as well as modern statistical decision theory and statistical methods to design, development and operational evaluation of engineering objects and systems. | — | — | C-1 | T-W-1, T-W-2 | M-1 | S-1, S-2 |
Zamierzone efekty uczenia się - umiejętności
| Zamierzone efekty uczenia się | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób oceny |
|---|---|---|---|---|---|---|
| WM-WTMiT_1-_??_U01 The ability to use the acquired knowledge to solve practical problems. | — | — | C-1 | T-A-1, T-A-2 | M-2 | S-1, S-2 |
Zamierzone efekty uczenia się - inne kompetencje społeczne i personalne
| Zamierzone efekty uczenia się | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób oceny |
|---|---|---|---|---|---|---|
| WM-WTMiT_1-_??_K01 Improvement of social and personal competencies including self-awareness, self-management, social awareness, relationship skills, responsible decision-making and others. Encouraging dialogue and mutual respect between peoples of different nations, cultures and faiths. | — | — | C-1 | T-A-1, T-A-2, T-A-3 | M-1, M-2 | S-1, S-2 |
Kryterium oceny - wiedza
| Efekt uczenia się | Ocena | Kryterium oceny |
|---|---|---|
| WM-WTMiT_1-_??_W01 Upon successful completion of this course, the students will be prepared to apply optimization methods as well as modern statistical decision theory and statistical methods to design, development and operational evaluation of engineering objects and systems. | 2,0 | Failing, Students performing at this level demonstrate no evidence of the knowledge, skills, and practices embodied by the course assessed at their grade level. The range for the grade of 2.0 is from 0% to 50% of the total possible score (100%). |
| 3,0 | Students performing at this level demonstrate a minimal command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.0 is from 51% to 60% of the total possible score (100%). | |
| 3,5 | Students performing at this level demonstrate a beginning command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.5 is from 61% to 70% of the total possible score (100%). | |
| 4,0 | Students performing at this level demonstrate a developing command of the knowledge, skills, and practices embodied by the course at their grade level. The range for the grade of 4.0 is from 71% to 80% of the total possible score (100%). | |
| 4,5 | Students performing at this level demonstrate a moderate command of the knowledge, skills, and practices embodied by the course. Students at this level are approaching the standards at their grade level. The range for the grade of 4.5 is from 81% to 90% of the total possible score (100%). | |
| 5,0 | Students performing at this level demonstrate a distinguished and strong command of the knowledge, skills, and practices embodied by the course. Students at this level are meeting or extending the standards at their grade level. The range for the grade of 5.0 is from 91% to 100% of the total possible score (100%). |
Kryterium oceny - umiejętności
| Efekt uczenia się | Ocena | Kryterium oceny |
|---|---|---|
| WM-WTMiT_1-_??_U01 The ability to use the acquired knowledge to solve practical problems. | 2,0 | Failing, Students performing at this level demonstrate no evidence of the knowledge, skills, and practices embodied by the course assessed at their grade level. The range for the grade of 2.0 is from 0% to 50% of the total possible score (100%). |
| 3,0 | Students performing at this level demonstrate a minimal command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.0 is from 51% to 60% of the total possible score (100%). | |
| 3,5 | Students performing at this level demonstrate a beginning command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.5 is from 61% to 70% of the total possible score (100%). | |
| 4,0 | Students performing at this level demonstrate a developing command of the knowledge, skills, and practices embodied by the course at their grade level. The range for the grade of 4.0 is from 71% to 80% of the total possible score (100%). | |
| 4,5 | Students performing at this level demonstrate a moderate command of the knowledge, skills, and practices embodied by the course. Students at this level are approaching the standards at their grade level. The range for the grade of 4.5 is from 81% to 90% of the total possible score (100%). | |
| 5,0 | Students performing at this level demonstrate a distinguished and strong command of the knowledge, skills, and practices embodied by the course. Students at this level are meeting or extending the standards at their grade level. The range for the grade of 5.0 is from 91% to 100% of the total possible score (100%). |
Kryterium oceny - inne kompetencje społeczne i personalne
| Efekt uczenia się | Ocena | Kryterium oceny |
|---|---|---|
| WM-WTMiT_1-_??_K01 Improvement of social and personal competencies including self-awareness, self-management, social awareness, relationship skills, responsible decision-making and others. Encouraging dialogue and mutual respect between peoples of different nations, cultures and faiths. | 2,0 | Students performing at this level demonstrate no evidence of increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress. |
| 3,0 | Acceptable student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress. | |
| 3,5 | Below average student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress. | |
| 4,0 | Average student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress. | |
| 4,5 | Above average student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress. | |
| 5,0 | Oustending student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress. |
Literatura podstawowa
- Bross I.D.J., Design for Decision, The Macmillan Company, New York, 1959
- Grima P., Absolute Certainty and Other Fiction: The Secrets of Statistics, RBA Coleccionables, 2012
Literatura dodatkowa
- DeGroot M.H., Optimal statistical decisions, McGraw-Hill, Inc., New York, 1970
- R. Fletcher, Practical Methods of Optimization, John Wiley & Sons, Ltd., 1987
- Lehmann E.L., Romano J.P., Testing Statistical Hypotheses, Springer International Publishing AG., 2005