| TAMS38 |
Experimental Design and Biostatistics, 6 ECTS credits.
/Försöksplanering och biostatistik/
For:
KeBi
MMAT
TB
Y
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Prel. scheduled
hours: 56
Rec. self-study hours: 104
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Area of Education: Science
Main field of studies: Mathematics, Applied Mathematics
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Advancement level
(G1, G2, A): A
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Aim:
The course is intended to give an introduction to the design and analysis of factorial experiments. The emphasis is on design of xperiments, selection of model, analysis of observed data, ability to interpret the results and to draw conclusions. Knowledge of alternative nonparametric methods is also essential. By the end of the course, the student should be able to:
- design factorial experiments of different types using appropriate randomization;
- choose a suitable model to describe observed data taking into
account the design of the experiment that generated the data, then perform an appropriate analysis and draw conclusions by means of hypothesis testing and construction of confidence intervals;
- make multiple comparisons of parameters with a given simultaneous
confidence level;
- check model adequacy and need of transformation of data;
- design, conduct and analyse complete and reduced 2^k factorial
experiments;
- use nonparametric methods to analyse data of different types and discuss the applicability of the methods;
- use generalized linear models to analyse data, interpret the analyses and discuss the adequacy of the methods;
- use power calculations to determine the sample size for certain kinds of random experiments;
- use statistical software (e.g., Minitab or Matlab) to analyse data from factorial experiments for both parametric and nonparametric methods.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
A first course in probability and statistics
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Organisation:
Teaching consists of lectures, lessons, obligatory computer lessons and obligatory assignments.
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Course contents:
Single-factor (including random effects model), two-factor and multifactor experiments in theory and practice. Randomized blocks, Latin squares and related designs. Complete 2^k factorial designs and fractional factorial designs. Construction of factorial designs. Response surface methods. Analysis of variance. Pairwise and multiple comparisons. Guidelines for designing experiments. Transformation of data. Power calculations. Nonparametric methods; sign test, Wilcoxon's tests, Kruskal-Wallis test, Friedmann's test. General linear models. Generalized linear models. Analysis of data by using statistical software.
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Course literature:
Montgomery, D.C.: Design and Analysis of Experiments. 7th/8th Edition. Wiley.
Additional material published by the department. Compendium with exercises published by the department.
Handbook of formulas published by the department.
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Examination: |
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Written examination
Computer exercises
Hand in excersises
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4 ECTS
1 ECTS
1 ECTS
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Course language is Swedish/English.
Department offering the course: MAI.
Director of Studies: Ingegerd Skoglund
Examiner: Zhenxia Liu
Link to the course homepage at the department
Course Syllabus in Swedish
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