The goal of this lecture is that students understand basic data analysis with applications to practical problems. Both practical tools and basic concepts are introduced, however, students should not choose academic lecture according to practicality. The true study based on mathematics gives you the wide viewpoints and deep insights.
Let's study and understand basic points of data analysis with applications to practical problems. Then you understand the limit of data analysis.
data analysis, real world, tool, the limit of data analysis, and true study
Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
For data analysis methods, their mathematical foundations and applications to practical problems are explained. Data analysis is a set of tools, which should be employed in a correct manner.
Course schedule | Required learning | |
---|---|---|
Class 1 | True distribution is different from any statistical model. | Data analysis is a set of tools, which is not the real world. |
Class 2 | regression analysis | Application of regression analysis |
Class 3 | discriminant analysis | Application of discriminant analysis |
Class 4 | factor analysis | Application of factor analysis |
Class 5 | Principal component analysis | Application of principal component analysis |
Class 6 | cluster analysis | Application of cluster analysis |
Class 7 | time series analysis | Application of time series analysis |
Class 8 | Summary | Summary of data analysis |
Class 9 | Bayes estimation | Application of Bayesian estimation |
Class 10 | Hierarchical Bayes | Application of Hierarchical Bayes |
Class 11 | Hypothesis test | Application of hypothesis test |
Class 12 | Problems of Hypothesis test | Problem of hypothesis test |
Class 13 | Prediction Accuracy and model evaluation | Application of model evaluation based on prediction accuracy |
Class 14 | Real world and model identification | Model identification in the real world |
Class 15 | Summary | Real world and data analysis. |
None.
None.
Reports.
Probability Theory and Statistics are necessary. Probability theory based on measure theory is not used in this lecture, however, it is very important, hence I recommend that students had better learn it.