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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.

Introduction
Resume

Probability of an event consisting of equiprobable outcomes.

Lesson Not yet graded
Tree Diagrams
Start

Using tree diagrams to calculate probabilities of combined events.

Lesson
Mutually Exclusive and Independent Events
Start

The cases \(P(A\cap B)=0\) and \(P(A\cap B)=P(A)\,P(B)\).

Lesson

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.

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