Learning Outcomes
Upon successful completion of the course, students will be able to:
• graph and analyze data sets
• perform simple and multiple linear regression and apply variable selection methods in multiple regression models
• calculate confidence intervals and prediction intervals in regression problems
• apply sorting, classification and clustering methods
• validate the applied models
• apply special sampling methods
• perform all the aforementioned techniques using Python programming and choose the most appropriate one
• interpret the results and evaluate the performance of the applied methods using statistical tools
Course Content (Syllabus)
The content of the course covers modern statistical methods of data processing and management. Specifically, the course focuses on statistical methods suitable for Big Data in both supervised and unsupervised environment, as well as on methods for evaluating the effectiveness of various statistical techniques and selecting the most appropriate one.
Briefly, the course analyzes the following:
• Linear and Non-linear Regression
• K-nearest neighbors
• Logistic regression
• Linear Discriminant Analysis
• Special regression methods
• Cross-Validation and Bootstrap
• Regression and Classification Trees
• Random Forests
• Bagging – Boosting
• K-means Clustering, Hierarchical Clustering
• Meyhods for the statistical analysis of the results
Course Bibliography (Eudoxus)
[1] Εφαρμοσμένη Στατιστική και Στατιστική Μηχανική Μάθηση με χρήση των IBM SPSS Statistics, R Python, Μπερσίμης Σωτήριος, Μπάρτζης Γεώργιος, Παπαδάκης Γεώργιος, Σαχλάς Αθανάσιος, Εκδ. Τζιόλα, 2021.
[2] Επιστήμη Δεδομένων: Βασικές Αρχές και Εφαρμογές με Python, Grus Joel, Εκδ. Α. Παπασωτηρίου & ΣΙΑ Ι.Κ.Ε., 2020.
[3] Ανάλυση Δεδομένων με την R, Νικολάου Χριστόφορος, Εκδ. Δίσιγμα ΙΚΕ, 2019.
[4] Μηχανική Μάθηση, Κωνσταντίνος Διαμαντάρας, Δημήτρης Μπότσης, Εκδ. Κλειδάριθμος ΕΠΕ, 2019.
[5] Αναγνώριση Προτύπων και Μηχανική Μάθηση, C.M. Bishop, Εκδ. Γρηγόριος Χρυσοστόμου Φούντας, 2019.
[6] Στατιστική και Μηχανική Μάθηση με την R, Ιωαννίδης Δημήτριος- Αθανασιάδης Ιωάννης, Εκδ. Τζιόλα, 2017.
Additional bibliography for study
[1] An Introduction to Statistical Learning with applications in R, Second Edition, Gareth James, Daniela Witter, Trevor Hastie, Robert Tibshirani, Springer, 2021.