ST104B Statistics 2 (half course)
Note
There has been a minor revision to this syllabus.
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.
Statistical tables will be provided.
Rules
04b Statistics 2 must be taken after, or at the same time as, 04a Statistics 1
Syllabus
This half course develops the ideas of measurement and hypothesis testing which have already been introduced. Some competence in Mathematics is assumed.
Basic background
To have reached the level of Statistics 1
Topics are:
Probability
Independence for several events, random variables, manipulation of E, V and Cov.
Distribution Theory
Moments of distributions. Important distributions including binomial, uniform, exponential and Poisson, Student's t, F. Joint probability distributions.
Inference
Bias, Mean square error. Efficiency. Hypothesis testing and confidence intervals for parameters such as mean, proportion, difference between means and proportions, a, b and rē.
Goodness of fit tests
Chi-squared test of goodness-of-fit for simple contingency table models.
Anova
One-way and two-way analysis of variance tables. The use of the F test.
Regression
Least squares. Interval estimation. Diagnostics. Several explanatory variables.
