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Statistics and Probability (Metric)
Class Details
Tom Baker
Learn, or revise, basic stats, probability, hypothesis testing, estimation, regression and correlation.
Units
Probability
The idea of probability; tree diagrams; mutual exclusion and independence.
Using tree diagrams to calculate probabilities of combined events.
The cases \(P(A\cap B)=0\) and \(P(A\cap B)=P(A)\,P(B)\).
Descriptive Statistics
Histograms; averages and measures of dispersion for ungrouped and grouped data.
Probability Distributions
Discrete distributions (including Binomial, Poisson); continuous distributions (including Normal).
Hypothesis Testing
Null and alternative hypotheses; selecting a test; performing and interpreting a test.
Estimation
Estimators, standard error and confidence intervals.
Regression and Correlation
Fitting a curve to data, and measuring the correlation of two quantities.