Module Details |
| The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
| Title | STATISTICAL THEORY AND METHODS I | ||
| Code | MATH263 | ||
| Coordinator |
Dr A Haddley Mathematical Sciences A.Haddley@liverpool.ac.uk |
||
| Year | CATS Level | Semester | CATS Value |
| Session 2016-17 | Level 5 FHEQ | Second Semester | 15 |
Aims |
|
|
To introduce statistical methods with a strong emphasis on applying standard statistical techniques appropriately and with clear interpretation. The emphasis is on applications. |
|
Learning Outcomes |
|
|
After completing the module students should have a conceptual and practical understanding of a range of commonly applied statistical procedures. They should have also developed some familiarity with the statistical package MINITAB. |
|
Syllabus |
|
| 1 |
Single sample of continuous random data. Sampling distribution of the sample mean, with (a) variance known; (b) variance unknown. The Student t-distribution. Hypothesis testing, type I and type II errors. Confidence interval for the population mean.
Estimation. Method of moments. Unbiasedness. Two samples of continuous random data. Sampling distribution of the sample mean difference. Confidence interval for the population mean difference. Comparing the means of two independent groups using the t-distribution. F-test for equal variances. Paired comparisons. Several samples of continuous random data. Comparing the means of several independent groups: one way analysis of varia nce. Distribution-free tests and exploratory data analysis. Probability plots. Sign test, Wilcoxon tests for (a) paired data; (b) two independent groups. Relationships between continuous variables. Simple linear regression and correlation. Least squares estimation. Hypothesis testing and confidence intervals. Aids to interpretation. Residual plots. |
Recommended Texts |
|
|
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. Explanation of Reading List: |
|
Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
| MATH101; MATH162; MATH102; MATH103 |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
| MATH361; MATH363; MATH374; MATH375; MATH376; MATH364 |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
| Programme:GG13 Year:2 Programme:G1N3 Year:2 Programme:NG31 Year:2 |
Programme(s) (including Year of Study) to which this module is available on an optional basis: |
| Programme:G100 Year:2 Programme:G101 Year:2 Programme:G110 Year:2 Programme:GN12 Year:2 Programme:G1R9 Year:2 Programme:G1X3 Year:2 Programme:GL11 Year:2 Programme:GN11 Year:2 Programme:GR11 Year:2 Programme:GG14 Year:2 Programme:GV15 Year:2 Programme:G1F7 Year:2 Programme:BCG0 Year:2 Programme:L000 Year:2 Programme:Y001 Year:2 |
Assessment |
||||||
| EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
| Written Exam | 2.5 hours | Second semester | 85 | S | Assessment 2 Notes (applying to all assessments) All solutions to Section A and Section B will be taken into account. Section A is worth 55% of the available marks, and Section B 45%. | |
| CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
| Coursework | Second semester | 15 | None: exemption approved November 2007 | University Policy applies - see Department/School handbook for details. | Assessment 1 | |