| Course Unit Code | 548-0044/08 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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| Name of Lecturer(s) | Personal ID | Name |
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| HOR10 | prof. Ing. Jiří Horák, Dr. |
| Summary |
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| The subject represents an advanced course of spatial analytical methods. It contains descriptive statistics for dots, circular statistics, methods of modelling of spatial distribution of events, inferential methods to analyse randomness of single dots as well as multiple events, explains basic terms of the graph theory, indicators used for local and global description of networks namely social networks, it introduces to the evaluation of transport accessibility, it explains selected tasks in graphs, basic methods for locational and alocational tasks, utilization of gravity theory, introduces selected analysis for areal data and multivariate techniques for spatial data, a basic predictive model for categorised variables using the logistic regression. |
| Learning Outcomes of the Course Unit |
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The objective is to learn student how to utilize selected methods of spatial analysis not included in other courses. It is focused on circular statistics, modelling of spatial distribution of events and relevant inferential methods to analyse their randomness, including multiple events. Large attention is dedicated to graph theory and its application for spatial tasks, statistical description of networks (local and global measures), selected tasks in graphs. Students get acqauinted with locational and alocational tasks, utilization of gravity theory, selected analysis for areal data, multivariate techniques for spatial data and a logistic regression.
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| Course Contents |
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1. Spatial analysis. Objectives and types of analysis. Descriptive statistics for point pattern.
2. Circular statistics.
3. Modelling of point spatial patterns – theoretical models.
4. Inferential statistical tests for point pattern. Analysis of multivariable point events.
5. Introduction to the graph theory. Graph types, spatial structures.
6. Statistical description of graphs and networks. Transport accessibility.
7. Selected tasks in graphs (MST, Gabriel network, Steiner tree, optimal route, traveler salesman problem).
8. Theoretical models of networks
9. Location and allocation tasks. Gravity theory. Analysis of interaction data.
10. Selected analysis for polygons (Areal interpolation. Districting, regionalization. Smoothing. Regression).
11. Multivariate techniques for spatial data – PCA, FA, DA
12. Multivariate techniques for spatial data - hierarchical and non-hierarchical spatial clustering
13. Logistic regression |
| Recommended or Required Reading |
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| Required Reading: |
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Hilbe, J.M. Practical guide to logistic regression. CRC Press/Taylor & Francis, Boca Raton, 2016. S. 158. ISBN 978-1-4987-0957-6
Newman, M. Networks: an introduction. Oxford University Press. 2010
Rogerson, P. Statistical methods for geography, 5th ed. SAGE, LA, 2019. S. 405. ISBN 978-1-5264-9880-
Smith M.J., Goodchild M.F., Longley P.A. Geospatial Analysis. 2011. Dostupné na http://www.spatialanalysisonline.com |
HORÁK, J. Prostorové analýzy dat. Ostrava : Vysoká škola báňská - Technická univerzita Ostrava, 2019. 181 s. ISBN 978-80-248-4368-1. Dostupné na: http://homel.vsb.cz/~hor10/Vyuka/PAD/SkriptaPAD2019.pdf
Hlásny T. Geografické informačné systémy. Priestorové analýzy. Banská Bystrica 2007. ISBN 978-80-8093-029-5.
Hendl J. Přehled statistických metod zpracování dat : analýza a metaanalýza dat. Portál, 2006. 583 s. ISBN 80-7367-123-9
Smith M.J., Goodchild M.F., Longley P.A. Geospatial Analysis. 2011. Dostupné na http://www.spatialanalysisonline.com |
| Recommended Reading: |
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Anselin L., Florax R., Rey S. (Eds.): Advances in Spatial Econometrics. Springer, 2004, pp. 51, 3ISBN 3540437290.
Barabási, A.: Network Science. The Barabási-Albert Model. 2012. Dostupné na http://barabasi.com/f/622.pdf
Batschelet, E.: Circular Statistics in Biology. Academic Press, 1981, London.
Hosmer, D.W., Lemeshow, S., Sturdivant, R.X.. Applied logistic regression, Third edition. ed, Wiley series in probability and statistics. Wiley, 2013. S. 528. ISBN 978-1-118-54835-6 |
Dudorkin, J. Operační výzkum. ČVUT Praha,1997, 296 s., ISBN 80-01-01571-8.
Marek, L. Prostorové a vícerozměrné statistické analýzy epidemiologických dat. Univerzita Palackého, Katedra geoinformatiky, 2015.
Meloun, M., Militký, J. Kompendium statistického zpracování dat. Praha, Academia, 2002, 764 s., ISBN 80-200-1008-4
Rogerson, P. Statistical methods for geography, 5th ed. SAGE, LA, 2019. S. 405. ISBN 978-1-5264-9880-9 |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 33 | 17 |
| Examination | Examination | 67 (67) | 18 |
| písemná zkouška | Written examination | 50 | 18 |
| ústní zkouška | Oral examination | 17 | 0 |