Service Teaching, a Drop-in Help Centre and Statistics

1. Service Teaching, a Drop-in Help Centre and Statistics CDC Steele University of Manchester

2. Service Teaching in Statistics by School of Mathematics

3. Service Teaching in Statistics by School of Mathematics • Service Teaching : Teaching by school of maths to students in other schools. • Teach methods that will help students with their other courses • Provide tools that will give general help to students in courses and in subsequent career • Provide discipline that will help generally in parent discipline • Provide enough theory that tools and methods can be adapted for unseen situations

4. Service Teaching in Statistics • Service Teaching : Teaching by school of maths to students in other schools. • Teach students to carry out simple tests in analysis of data e.g. hypothesis tests. • Give students some appreciation of the power and place of the various tests • Give students an appreciation of which claims can be backed up with statistical ideas • Give underlying theory so that tests can be adapted

5. Service teaching in Statistics • Course 0F2 to Foundation Year: • MATHFS552 Probability / Statistics • Mainly probability but includes • Working with normal distribution • Mean and standard deviation

6. Service teaching in Statistics • Course 1X1 to 1st Year Computer Science: • COMP10020 • Mainly probability

7. Service teaching in Statistics • Course 2M1/2P1 to 2nd Year Engineers: • MATH29631/29651/29661 Probability / Statistics • Sample mean, standard deviation; • confidence interval; • hypothesis; • chi-squared goodness of fit test; • simple linear regression.

8. Service teaching in Statistics • Course 2T1 to 2nd Year Textiles students: • MATH2953 • Representation of data; frequency distributions and histograms. • Basic statistical inference. Random Samples, sampling distributions. Sampling, properties of sample means, tendency to normal distribution. • Use of statistical packages. • Confidence Intervals. • Hypothesis testing; null and alternative hypothesis, critical region. Significance level. Hypothesis tests; one and two-sample t-tests for means; paired t-test; F-test for two variances. • Relationships between variables. Linear regression, prediction, confidence intervals. F-test for one- and two-way analysis of variance and experimental designs.

9. Service teaching in Statistics • Scope for further course (possibly based on MATH29531) in general statistics for students throughout the university.

10. Service teaching in Statistics • Challenges • A good engineer / scientist / medic / economist / other is not necessarily a good mathematician • Neither is necessarily a good statistician

11. Service teaching in Statistics • Challenges • Sometimes, the necessity to lead students away from simply putting numbers into formulae and understanding / appreciating what is being taught.

12. Service teaching in Statistics • Challenges • Finding data sufficiently simple as to be a good example of the tool/method but which is, nevertheless, real data.

13. Manchester Mathematics Resource Centre and Statistics

14. Manchester Mathematics Resource Centre • Drop-in help-desk open 20 hours per week. • Advisors are academic staff or postgraduate students • Located in George Begg Building / C6 • Open 20 hours per week during term time. • http://www.maths.manchester.ac.uk/service/resource-centre/

15. Statistics at the Resource Centre • 3 dedicated sessions. • Tuesday 11-12. Dr J Moriarty • Thursday 1-2. Dr P Foster • Friday 1-2. Mr H Chao (pg) • Other advisors able to answer certain queries or refer callers to these sessions

16. Statistics at the Resource Centre • Types of Enquiry • Course Related • Example on tutorial sheet • Question on past paper • Query on notes

17. Statistics at the Resource Centre • Types of Enquiry • Project Related • Question about data-analysis, tests etc.