Experimental design and analysis

Proper experimental design is a prerequisite to the efficient and cost effective resolution of comparative quantitative research questions. This subject introduces experimental design and analysis through the use of examples and by the study of underlying linear model. Use of appropriate computer packages allows testing of assumptions and investigation of advanced topics. Extensions of the basic methodology are explored. Students will gain experience in evaluating and presenting results in the form of a standard statistical report as used in professional practice. The experiences will be used in the evaluation of the results of different experiments (scientific and professional) in the field.

Basic statistical and mathematical knowledge.

• Principles of experimental design.
• Simple linear regression: review and extension.
• Polynomial and multiple linear regression.
• Principles of experimental design; including completely randomized designs, randomized block designs and Latin square designs.
• Multiple comparison methods.
• Diagnostic checking of the basic model.
• The analysis of experiments with factorial treatment structures.
• Analysis of variance.
• Analysis of covariance.
• Statistical software.

Knowledge and understanding:
• be able to identify situations for which a linear model is appropriate;
* be able to design, and check the design of standard experiments reflective of professional practice;
* be able to perform the analysis of such experiments using appropriate statistical protocols;
* be able to communicate results and justify interpretations in terms of the original problem with logic and precision;
* be able to evaluate and present results, with an integrated understanding of the underlying theory, in the form of a standard statistical report;
* be able to critically test any assumptions underpinning the use of the linear model;
* be able to perform design and analysis tasks on recognized software platforms

1. Gary W. Oehlert, A first Course in Design and Analysis of Experiments, 2010, E-version
2. Howard J. Seltman, Experimental Design and Analysis,2015, E-version
3. Adamič Š. (2005).Temelji biostatistike, Medicinska fakulteta Ljubljana, 1995.
4. Košmelj, K. (2007). Uporabna statistika. Ljubljana: Univerza v Ljubljani, Biotehniška fakulteta E-version
5. A. Vadnjal, Elementarni uvod v verjetnostni račun, DZS, Ljubljana, 1979. Catalogue
6. Internet resources for learning statistics
7. Moodle classroom
8. Slides from lectures

Seminar work and homeworks (30%), written exam (70%)

dr. Irina Elena Cristea
Habilitation: Assoc. Prof. in the field of Mathematics

Principal education and research areas: Mathematics, algebraic hyperstructures and connections with fuzzy sets and their generalizations.

Professional career: Prof. Irina Elena Cristea received the PhD in Mathematics, with specialization in Algebra, in 2007, from the University of Constanta, Romania. She started the research career in 2003 at the University of Iasi, Romania, where she worked as Teaching Assistant for 4 years. After a postdoctoral position at Udine University, Italy, in January 2012, she was employed at the University of Nova Gorica, as Assistant Professor in Mathematics, conducting research in Algebraic Hyperstructure Theory. Since 2017, she is Associate Professor in Mathematics, being affiliated with the Centre for Information Technologies and Applied Mathematics. She is currently teaching Mathematics at the School of Engineering and Management, School of Environmental Sciences, School of Sciences at the University of Nova Gorica.

Selected bibliography

KANKARAS, Milica, CRISTEA, Irina Elena. Fuzzy reduced hypergroups. Mathematics, ISSN 2227-7390, 2020, vol. 8, iss. 2, str. 1-12. [COBISS.SI-ID 5566715]

SONEA, Andromeda Cristina, CRISTEA, Irina Elena. The class equation and the commutativity degree for complete hypergroups. Mathematics, ISSN 2227-7390, 2020, vol. 8, iss. 12, str. 1-15. [COBISS.SI-ID 43881731]

ZADEH, Azam Adineh, NOROUZI, Morteza, CRISTEA, Irina Elena. The commutative quotient structure of m-idempotent hyperrings. Analele Universitǎţii "Ovidius" Constanţa, Seria Matematicǎ, ISSN 1224-1784, 2020, vol. 28, no. 1, str. 219-236. [COBISS.SI-ID 5593595]

BORDBAR, Hashem, NOVAK, Michal, CRISTEA, Irina Elena. A note on the support of a hypermodule. Journal of algebra and its applications, ISSN 0219-4988, 2020, vol. 19, no. 1, str. 1-19. [COBISS.SI-ID 5335291]

CRISTEA, Irina Elena, HASSANI SADRABADI, Elhan, DAVVAZ, Bijan. A fuzzy application of the group Zn to complete hypergroups. Soft computing, ISSN 1432-7643. [Print ed.], 2020, vol. 24, iss. 5, str. 3543-3550, ilustr., doi: 10.1007/s00500-019-04121-0. [COBISS.SI-ID 5404667]

DAVVAZ, Bijan, CRISTEA, Irina Elena. Fuzzy algebraic hyperstructures : an introduction, (Studies in fuzziness and soft computing, vol. 321). Cham: Springer, cop. 2015. X, 242 str., ilustr. ISBN 978-3-319-14761-1 [COBISS.SI-ID 3704571]

Her references in the period 2020-2025 are evident from

Cobiss
Sicris