GRM 5110 Statistical Application in Geography

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The Chinese University of Hong Kong

Department of Geography and Resource Management

GRMD 5110 Statistical Applications in Geography

Course overview:

This course is an introduction to multivariate statistical methods in geographical research. The objective of this course is to provide a practical understanding of using multivariate statistical analysis to solve geographical problems. Emphasis is placed on the applications of appropriate multivariate statistical methods to analyze geographic data, the appropriate procedures for research design, and the interpretations of statistical results in the context of geographical studies.

Course learning outcomes:

Many geographical studies and researches use various quantitative analyses which try to find out the real situations. Statistical analysis is one of the widely used quantitative methods.

The course will introduce various multivariate statistical techniques commonly employed by geographers and researchers in allied fields. After taking the course, students will be able to:

1.

Distinguish different statistical models;

2.

Recognize the assumptions of various statistical models;

3.

Understand statistical methods and their procedures;

4.

Perform statistical analyses using computer; and

5.

Evaluate and interpret the results of various statistical models.

Assessment type and percentage:

1.

Tutorials: 40%

2.

Homework: 15%

3.

Literature review paper: 20%

4.

Project report: 25%

Course syllabus:

1.

Geographical data manipulation

2.

Matrix algebra

3.

Correlation analysis

4.

Autocorrelation analysis

5.

Linear regression analysis

6.

Stepwise regression analysis

7.

Geographically weighted regression analysis

1

8.

Logistic regression analysis

9.

Principal component analysis

10.

Factor analysis

11.

Canonical correlation analysis

12.

Cluster analysis

13.

Discriminant analysis

Teaching and Learning activities:

The teaching and learning activities of the course will consist of double-lesson lectures per week, five tutorials, and students’ presentation.

SPSS (Statistical Package for Social Science) and S-plus are powerful and easy to use software packages of statistical analysis for Geographers and Social Scientists. Five sets of laboratory practices have been arranged to help students gain experience of using the SPSS and S-plus softwares and to conduct basic calculations of statistical methods. Students are encouraged to do more practices and complete assigned homework with SPSS and S-plus if possible. The focuses of five tutorials are as follows:

1.

Statistical procedure for data analysis

2.

Correlation analysis and autocorrelation analysis

3.

Linear, stepwise and logistic regression analyses

4.

Principal component analysis and factor analysis

5.

Clustering analysis and discriminant analysis

Feedback for evaluation:

The suggestions and information from the early course evaluation

Students’ reaction during the lectures

Students’ feedback and suggestion from WebCT forum

Informal interaction with students and tutors

Student performance in the class and examination

Previous course evaluation results

Required readings:

Marcoulides George A. and Scott L. Hershberger (1997), Chapter 2 Basic Matrix

Algebra, Multivariate Statistical Methods: A First Course, Mahwah: Lawrence

Erlbaum Associates, 9-22

Griffith Daniel A. (2003), Spatial Autocorrelation and spatial Filtering: Gaining

Understanding Through Theory and Scientific Visualization, Germany : Springer

Hsieh Chun-Ying, Chou Kuo-Ping (2002), A spatial autocorrelation analysis of aging distribution and transition, Journal of Population Studies , Vol 25, pp, 91-119

2

Kachigan Sam Kash (1991) Chapter 4 Regression analysis, Multivariate Statistical

Analysis: A Conceptual Introduction, New York: Radius Press, 160-193

Huang Y, Y Leung and J Shen (2007), Cities and Globalization: An International Cities

Perspective, Urban Geography , Vol. 28, No.3, 209-231.

Loo, Beckyp. Y. (2000), an application of canonical correlation analysis in regional science: the interrelationships between transport and development in China’s Zhujiang

Delta, Journal of Regional Science , Vol 40, No. 1,

Marcoulides George A. and Scott L. Hershberger (1997), Chapter 6 Canonical

Correlation, Multivariate Statistical Methods: A First Course, Mahwah: Lawrence

Erlbaum Associates, 133-161

Epperson Bryank, Li Tianquan (1996), Measurement of genetic structure within populations using Moren’s spatial autocorrelation statistics,

Population Biology , Vol

93, pp. 10528-10532.

Anderson T.W. (2003), An Introduction to Multivariate Statistical Analysis, Third

Edition, USA: Wiley Interscience

Wong David W.S. and Jay Lee (2005), Statistical Analysis of Geographic Information with ArcView GIS, New Jersey: John Wiley & Sons, Inc.

Recommended readings:

Goodchild Michael F. (1986), Spatial Autocorrelation, Norwich: Geo Books, Catmog

47

Johnson, Richard A. & Dean W. Wichern (2002), Applied Multivariate Statistical

Analysis , Prentice-Hall, 5 th

edition

Johnston R.J. (1980), Multivariate Statistical Analysis in Geography , London:

Longman Group Limited

Kachigan Sam Kash (1991), Multivariate Statistical Analysis: A Conceptual

Introduction, New York: Radius Press

Marcoulides George A. and Scott L. Hershberger (1997), Multivariate Statistical

Methods: A First Course, Mahwah: Lawrence Erlbaum Associates

3

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