1. Introduction. Basic concepts in biostatistics. Role of statistics in the research phases.
1.1. Statistical Terms: Populations, Individuals, and Samples
1.2. Types of Variables.
2. Introduction to study design in Health Sciences. Types of studies in biomedicine. Data analysis techniques.
2.1. Principles of Study Design
2.2. Types of Studies in Biomedicine: Experimental Studies, Observational Studies, Systematic Reviews, and Meta-Analysis
2.3. Techniques for Data Analysis in Biomedical Studies
3. Descriptive statistics. Sampling methods.
3.1. Descriptive Statistics:
3.1.1. Measures of Central Tendency and Dispersion
3.1.2. Graphical Representation of Data.
3.2. Sampling Methods: Simple Random Sampling, Stratified Sampling, Cluster Sampling and Systematic Sampling
4. Probability. Theoretical probability distributions.
4.1. Fundamentals of Probability Theory
4.1.1. Random Experiment
4.1.2. Development of concepts related to sample space, events, and their properties
4.1.3. Definition of probability and properties
4.1.4. Conditional Probability
4.1.5. Law of Total Probability and Bayes' Theorem
4.2. Discrete Random Variable
4.2.1. Probability Function
4.2.2. Cumulative Distribution Function and its properties
4.2.3. Common discrete distributions: Bernoulli, Binomial, Poisson
4.3. Continuous Random Variable
4.3.1. Cumulative Distribution Function and its properties
4.3.2. Probability Density Function
4.3.3. Common continuous distributions: Normal, Uniform, Exponential
5. Estimation of population statistical parameters. Regression analysis. Multivariate analysis.
5.1. Estimation of Population Parameters
5.1.1. Point Estimation
5.1.2. Confidence Intervals
5.2. Regression Analysis
5.2.1. Correlation Coefficient
5.2.2. Simple Linear Regression
5.2.3. Multiple Linear Regression
5.3. Introduction to Multivariate Analysis
6. Statistical theory of hypothesis testing. Hypothesis testing with qualitative variables. Hypothesis testing with quantitative variables.
6.1. Basic Concepts of Hypothesis Testing
6.2. Hypothesis Tests with Qualitative Variables
6.3. Hypothesis Tests with Quantitative Variables
6.4. Hypothesis Tests for Comparing Two Populations
7. Non-parametric statistics. Bayesian statistics.
7.1. Introduction to Non-Parametric Tests
7.2. Common Non-Parametric Tests: Mann-Whitney, Wilcoxon
7.3. Bayesian Statistics: Principles of Bayesian Inference