Experimental Design and Biostatistics, 6 credits

Försöksplanering och biostatistik, 6 hp

TAMS38

The course is disused.

Main field of study

Mathematics Applied Mathematics

Course level

Second cycle

Course type

Programme course

Examiner

Zhenxia Liu

Director of studies or equivalent

Ingegerd Skoglund

Education components

Preliminary scheduled hours: 56 h
Recommended self-study hours: 104 h

Available for exchange students

Yes
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 3 Swedish/English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 3 Swedish/English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 3 Swedish/English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 3 Swedish/English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 3 Swedish/English Linköping E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 7 (Autumn 2017) 2 3 Swedish/English Linköping E
6CKEB Chemical Biology, M Sc in Engineering (Industrial Biotechnology and Production) 7 (Autumn 2017) 2 3 Swedish/English Linköping C
6CKEB Chemical Biology, M Sc in Engineering (Protein Science and Technology) 7 (Autumn 2017) 2 3 Swedish/English Linköping C
6CTBI Engineering Biology, M Sc in Engineering (Devices and Materials in Biomedicine) 7 (Autumn 2017) 2 3 Swedish/English Linköping C
6CTBI Engineering Biology, M Sc in Engineering (Industrial biotechnology and production) 7 (Autumn 2017) 2 3 Swedish/English Linköping C
6MMAT Mathematics, Master's programme 3 (Autumn 2017) 2 3 Swedish/English Linköping E

Main field of study

Mathematics, Applied Mathematics

Course level

Second cycle

Advancement level

A1X

Course offered for

  • Chemical Biology, M Sc in Engineering
  • Engineering Biology, M Sc in Engineering
  • Applied Physics and Electrical Engineering - International, M Sc in Engineering
  • Applied Physics and Electrical Engineering, M Sc in Engineering
  • Mathematics, Master's programme

Specific information

This course cannot be included in the same degree as the courses TAMS75, TAMS33 or TAMS12 . 

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

A first course in probability and statistics

Intended learning outcomes

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.

Course content

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.

Teaching and working methods

Teaching consists of lectures, lessons, obligatory computer lessons and obligatory assignments.

Examination

UPG1Hand in excersises1 creditsU, G
LAB1Computer exercises1 creditsU, G
TEN1Written examination4 creditsU, 3, 4, 5

Grades

Four-grade scale, LiU, U, 3, 4, 5

Department

Matematiska institutionen

Director of Studies or equivalent

Ingegerd Skoglund

Examiner

Zhenxia Liu

Course website and other links

http://courses.mai.liu.se/GU/TAMS38

Education components

Preliminary scheduled hours: 56 h
Recommended self-study hours: 104 h

Course literature

Additional literature

Books

  • Montgomery, D.C., Design and analysis of experiments. 7th/8th edition

Compendia

Code Name Scope Grading scale
UPG1 Hand in excersises 1 credits U, G
LAB1 Computer exercises 1 credits U, G
TEN1 Written examination 4 credits U, 3, 4, 5

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

Additional literature

Books

Montgomery, D.C., Design and analysis of experiments. 7th/8th edition

Compendia

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize
I U A Modules Comment
1. DISCIPLINARY KNOWLEDGE AND REASONING
1.1 Knowledge of underlying mathematics and science (G1X level)
X
X
X
TEN1

                            
1.2 Fundamental engineering knowledge (G1X level)

                            
1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)

                            
1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)

                            
1.5 Insight into current research and development work

                            
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
2.1 Analytical reasoning and problem solving
X
X
X
LAB1
TEN1
UPG1

                            
2.2 Experimentation, investigation, and knowledge discovery
X
X
LAB1
UPG1

                            
2.3 System thinking

                            
2.4 Attitudes, thought, and learning
X
TEN1
UPG1

                            
2.5 Ethics, equity, and other responsibilities
X
TEN1

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork
X
LAB1
UPG1

                            
3.2 Communications
X
LAB1

                            
3.3 Communication in foreign languages
X

                            
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
4.1 External, societal, and environmental context

                            
4.2 Enterprise and business context

                            
4.3 Conceiving, system engineering and management

                            
4.4 Designing

                            
4.5 Implementing

                            
4.6 Operating

                            
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development

                            
5.2 Economic conditions for knowledge development

                            
5.3 Identification of needs, structuring and planning of research or development projects
X
X
UPG1

                            
5.4 Execution of research or development projects

                            
5.5 Presentation and evaluation of research or development projects
X
X
UPG1

                            

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