Statistical Concepts
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Internal
Concepts
- mean
- standard deviation
- linear regression
- correlation
- Bayes Rule
- Scatter Plot
- Linearity (linear exact or not exact)
- Positive and negative linear relationship.
- Outlier
- Deviation
- Noise - deviation from a linear graph.
- Monotonicity.
- Bar Charts. Applies to 2D data.
- Global trends.
- Historgram. A bar chart where the vertical axis is a frequency count, as a function of the range. Applies to 1D data.
- Frequency Count
- Pie charts - represent relative outcomes.
- Unrelated data
- Simpson's paradox
- Be skeptical and really understand how to turn raw data into conclusions.
- Probability - the opposite of statistics.
- P() notation
- Truth table
- Probability of a composite event (independence)
- Dependence
- Conditional probability
- Conditional probability notation - important for Bayes Rule
- Total probability
- Bayes Rule
- Prior probability
- Unreliable measurement (Sensitivity/Specificity)
- Joint probabilty
- Posterior probabilty
- Probability Distribution
- Continous Probability Distribution.
- Density of probability
- Correlation vs. Causation
- Variables
- Definition of correlation (Is correlation injectivity?)
- Confounding variable.
- Estimators
- Laplacian estimator
- Empirical (observational) frequency
- Maximum likelihood estimator
TODO
- Relocate Continous Functions