# STAT310 Design of Experiments and Analysis of Variance II

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#### Showing course contents for the educational year 2015 - 2016 .

Course responsible: Thore Egeland
Teachers: Trygve Erik Almøy
ECTS credits: 10
Faculty: Department of Chemistry, Biotechnology and Food Science
Teaching language: EN, NO
(NO=norsk, EN=Engelsk)
Teaching exam periods:
This course starts in August block. This course has teaching/evaluation in August block, Autumn parallel, .
Course frequency: Annually
First time: Study year 2004-2005
Last time: 2016V
Course contents:
Fundamental theory for design of experiments and analyses of data from designed experiments, replication, randomisation and blocking. Analysis of variance models with fixed, random and mixed effects. Hierarchical models. Orthogonal contrasts. Splitting of sum of squares. Multiple comparisons. Testing equality of variances. Consequences of deviations from the assumptions. Transforming data. Analyses of unbalanced data. Some usual experimental plans, such as: Completely randomised design, block design, Latin square design, split-plot design and incomplete block design. Factorial designs interaction. Two- and three-level designs. Fractional factorial designs. Confounding of effects.
Learning outcome:
The students will learn the statistical principles for design of experiments used to compare different groups or treatments, and to analyse data from such experiments, primarily by analysis of variance. They will also learn the mathematical basis to use their knowledge in new situations that they encounter later. By means of exercises and projects with real problems and data, the students should show that they have reached the learning goals.
Learning activities:
Lectures and exercises with guidance.
Teaching support:
Questions are answered in office hours or by e-mail
Syllabus:

Curriculum is handed out in the first lecture.

Text book STAT210/STAT 310 : Douglas C Montgomery, Design and analysis of experiments. 6th edition or later

Prerequisites:
STAT100 or equivalent basic statistics course. The first part of the course is taught in the August block as STAT210, the students must know the topics covered in STAT210 and also pass the compulsory assignment for STAT210.
Recommended prerequisites:
Knowledge of simple matrix algebra.
Mandatory activity:
Compulsory project assignment.
Assessment:
Written examination, 3.5 hours.
The exam is in English. Answers can be in English, Norwegian, Swedish or Danish

Organised teaching: 96 hours.

Individual study: 204 hours.

Entrance requirements:
Special requirements in Science
Reduction of credits:
STAT210, 5 credits (ECTS).
Type of course:

August block (STAT 210 part): 2 hours lectures and 2 hours exercises daily.

Autumn parallel: 2 hours lectures and 2 hours exercises weekly.

Note:
The students follow the STAT210 lectures in August, but have their exam at the end of the fall term (i.e. these students do not take the august block exam).
Examiner:
Use of external examiner who approves the examination questions and grades 25 selected examination papers together with the lecturer.
Allowed examination aids: All types of calculators, all other aids.
Examination details: One written exam: A - E / Ikke bestått