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Service Teaching, a Drop-in Help Centre and Statistics CDC Steele University of Manchester Service Teaching in Statistics by School of Mathematics 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 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 Service teaching in Statistics • Course 0F2 to Foundation Year: • MATHFS552 Probability / Statistics – Mainly probability but includes – Working with normal distribution – Mean and standard deviation Service teaching in Statistics • Course 1X1 to 1st Year Computer Science: • COMP10020 – Mainly probability 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. 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 twoway analysis of variance and experimental designs. Service teaching in Statistics • Scope for further course (possibly based on MATH29531) in general statistics for students throughout the university. Service teaching in Statistics • Challenges – A good engineer / scientist / medic / economist / other is not necessarily a good mathematician – Neither is necessarily a good statistician 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. 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. Manchester Mathematics Resource Centre and Statistics 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/servic e/resource-centre/ 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 Statistics at the Resource Centre • Types of Enquiry – Course Related • Example on tutorial sheet • Question on past paper • Query on notes Statistics at the Resource Centre • Types of Enquiry – Project Related • Question about data-analysis, tests etc.