Learning Outcomes
At the end of the course, the students will:
• Develop abstract thinking.
• Understand the complex relationships between variables.
• Think and will treat Biological phenomena as a system.
• Can recognize and define the parameters of the phenomenon under consideration.
• Learn to organize data appropriately.
• Learn to encode data appropriately.
• Learn to enter data into a computer.
• Learn to choose the appropriate method of multivariate analysis.
• Recognize the differences but also the complementarity of the methods.
• Apply knowledge in practice.
• Learn to use Statistical Programs.
• Learn to communicate with researchers from other scientific specialties.
• Learn to understand, present and comment on numerical and graphical outputs of methods.
Course Content (Syllabus)
Introduction to Multivariate-Multidimensional Data Analysis. Basic principles and new methodological approaches. Schools of Data Analysis. Biological phenomena as statistical systems. What lies ahead? Introduction to Mixed Linear Models and to Multivariate Data Analysis. Methodological frame and requirements. Statistical Analysis of Variance (ANOVA) of data coming from agricultural experiments combined over locations and/or years. Study of the interaction between factors and/or the environment. Comparisons of means. Requirements for Combined Analysis of Variance. Requirements statistical checking. Applications, presentation and reporting of results. Introduction to Factor Analysis. Principal Component Analysis (PCA) and variants of PCA. Objectives of the method. Methodological frame and requirements. Applications, presentation and reporting of results. Reliability analysis. Methodological frame and requirements. Applications, presentation and reporting of results. Introduction to Multivariate Analysis of Variance (MANOVA). Objectives of the method. Methodological frame and requirements. Applications, presentation and reporting of results. Hierarchical Cluster Analysis (Classification). Objectives of the method. Methodological frame and requirements. Applications, presentation and reporting of results. Discriminant Analysis. Objectives of the method. Methodological frame and requirements. Applications, presentation and reporting of results. Logistic Regression. Multivariate Data Analysis with statistical software.
Description
Use of Web, Internet, Powerpoint, video, Excel, SPSS, educational software-tutorial, zoom, email.
Additional bibliography for study
1) Steel, R., Torrie, J. & Dickey, D. (1997). Principles and Procedures of Statistics: A Biometrical Approach. Third Edition. Singapore: McGraw-Hill Book Company.
2) Gomez, K. & Gomez, A. (1984). Statistical Procedures for Agricultural Research. Singapore: John Willey & Sons, Inc.
3) Zar, J. (1996). Biostatistical Analysis. New Jersey: Prentice-Hall International, Inc.
4) Μενεξές, Γ. & Οικονόμου, Α. (2002). Σφάλματα και Παρανοήσεις στους Στατιστικούς Ελέγχους Υποθέσεων: Υπέρβαση μέσω της Ανάλυσης Δεδομένων. Τετράδια Ανάλυσης Δεδομένων-Data Analysis Bulletin, 2, 52-64.
5) Μενεξές, Γ. (2007). Μια Δομημένη Προσέγγιση στην Πολυμεταβλητή Στατιστική Ανάλυση Βιολογικών, Περιβαλλοντικών, Κοινωνικών και Οικονομικών Δεδομένων. Στο Φυσικοί Πόροι, Περιβάλλον και Ανάπτυξη (σσ. 519-534). Επιμέλεια: Γ. Αραμπατζής και Σ. Πολύζος. Θεσσαλονίκη: Εκδόσεις Τζιόλα.
6) Μενεξές, Γ. (2013). Οδηγός Ανάλυσης Παραλλακτικότητας Δεδομένων Γεωργικών Πειραμάτων με Στατιστικά Πακέτα. Εκπαιδευτικές Σημειώσεις.
7) Hair, J., Anderson, R., Tatham, R. & Black, W. (1995). Multivariate Data Analysis With Readings. New Jersey: Prentice-Hall International, Inc.