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ST104A Statistics 1 (half course)

Note

Students may bring into the examination hall their own hand held electronic calculator. If calculators are used they must satisfy the requirements listed in section 3 of the Detailed Regulations.

Graph paper and statistical tables will be provided.

Syllabus

This course introduces some of the basic ideas of theoretical statistics, emphasising the applications of these methods and the interpretation of tables and results.

Basic background

Elementary summation signs, elementary probability, Venn and tree diagrams.

Data collection

Elements of survey design, the stages of a survey, ideas of randomness, observation and experiment.

Data presentation and analysis

Descriptive statistics, measures of location and dispersion, pictorial and graphical representation.

The Normal Distribution

Estimation of mean, proportion, standard deviation, confidence intervals and hypothesis testing. Ideas of testing for differences between means and proportions. The use of Student's t.

Goodness of fit

The Chi-squared distribution and contingency tables.

Regression and correlation

An introduction to the ideas of regression and correlation, least squares, estimation of a, b, and rē, scatter diagrams.