Statistics
Statistics is the science of collecting, analyzing, interpreting, and presenting data. It bridges probability theory with real-world data to draw meaningful conclusions.Key Topics
- Descriptive Statistics — mean, median, mode, variance, standard deviation
- Inferential Statistics — drawing conclusions about populations from samples
- Hypothesis Testing — null and alternative hypotheses, p-values, significance levels
- Confidence Intervals — estimating population parameters with uncertainty bounds
- Regression Analysis — modeling relationships between variables
- ANOVA — comparing means across multiple groups
- Bayesian Statistics — incorporating prior knowledge into inference
- Non-parametric Methods — distribution-free statistical tests