Department of Mathematical Sciences, Unit Catalogue 2010/11 |
MA20226: Statistics 2A |
 Credits:
| 6 |
| Level:
| Intermediate |
| Period: | This unit is available in... |
| Semester 1 |
| Assessment:
| CW25EX75 |
| Supplementary Assessment: | Supplementary assessment information not currently available (this will be added shortly) |
| Requisites:
| Before taking this unit you must take MA10211 and take MA10212 or equivalent units from MA10001 - MA10006. You may not take this unit if you have already taken MA20033. |
| Description:
| Aims: Introduce classical estimation and hypothesis-testing principles. Learning Outcomes: After taking this unit, students should be able to: * Perform standard estimation procedures and tests on normal data. * Carry out goodness-of-fit tests and analyse contingency tables. * Use R to calculate estimates, carry out hypothesis tests and compute confidence intervals. Skills: Numeracy T/F A Problem Solving T/F A Computing Skills T/F A Written and Spoken Communication F (in tutorials). Content: Point estimation: Maximum-likelihood estimation, including computational aspects; further properties of estimators, including mean square error, efficiency and consistency; robust methods of estimation such as the median and trimmed mean. Confidence intervals. Hypothesis testing: Size and power of tests; Neyman-Pearson lemma. One-sided and two-sided tests. Distributions related to the normal: t, chi-square and F distributions. Interference for normal data: Tests and confidence intervals for normal means and variances, one-sample problems, paired and unpaired two-sample problems. Contingency tables and goodness-of-fit tests. Examples of all the above, including case studies in R. |