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 4, Assessment for the programme#DetailedRegulationsSection4, 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.
