STATISTICS AND DATA ANALYSIS
- Course
- BIOE505 - STATISTICS AND DATA ANALYSIS
- Department
- Bioengineering - English - Master
- Course Type
- Course
- Status
- Required
- Language
- English
- Credit
- 3
- ECTS
- 0
- T+P+L
- 3 + 0 + 0
- Course Coordinator(s)
- -
- Prerequisite
- -
Course Description
Probability Theory: Experiments and outcomes; random variables, probability, probability density & mass functions; conditional probability, joint probability. Bayes' theorem. Standard distributions. Estimating properties of distributions: mean and variance, skewness and kurtosis. Goodness of fit of experimental data to distributions: chi-squared test, tests for normal distributions. Two populations: mixture models, t-tests, paired and unpaired. F-tests. Bonferroni correction; Analysis of variance (ANOVA). Parametric vs non-parametric statistics. Regression: Univariate and multivariate regression; significance testing on linear regression; Pearson correlation coefficient; stepwise regression; nonlinear regression. Sampling methods: Sampling from distributions, Monte-Carlo methods, bootstrapping. Time series: Notation, types of time series, simple time-series descriptors. Cross and auto-correlation. Trend removal. Linear filtering. The DFT and its applications. Inference: Bayesian methods. Decision boundaries. Bayesian and neural networks. PCA and KL transforms. MAP and ML decisions.
STATISTICS AND DATA ANALYSIS
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