| CODE | SOR1221 | ||||||||
| TITLE | Sampling and Estimation | ||||||||
| UM LEVEL | 01 - Year 1 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 5 | ||||||||
| ECTS CREDITS | 2 | ||||||||
| DEPARTMENT | Statistics and Operations Research | ||||||||
| DESCRIPTION | - Sampling - Populations and Samples - Selection of a Sample - Sampling Schemes and Designs: simple random, systematic, stratified, cluster and non-probability sampling - Descriptive Statistics and Graphical Representations - Sampling Distributions - Sampling Distribution of the Sample Mean, Proportions, Difference of Means and Difference of Proportions - Small Sampling Theory - Sampling Distribution of the Sample Variance - Sampling Distribution of Variance Ratios - Confidence Intervals - Hypothesis Testing - Type I and Type II Errors - Tests on means, proportions and difference of means of large and small samples - One Sample T-test - Paired Samples T-test - Independent Samples T-test - Chi Square test - Pearson Correlation - One-Way ANOVA. Study-Unit Aims: - Familiarize with different sampling techniques (Random, Systematic, Stratified and Cluster sampling); - Derive sampling distributions for sample means, proportions, difference of means and difference of proportions; - Determine sample size and address uncertainty by providing margin of errors; - Carry out statistical inference using confidence intervals and hypothesis testing; - Apply statistical tests (One-Sample, Independent Samples, Paired Samples t-tests and One-Way ANOVA test) to compare means between population parameters; - Apply statistical test (Pearson correlation test) to assess the relationship between two variables having a metric scale; - Apply statistical test (Chi Squared test) to assess the association between two categorical variables; - Assess discrepancy between observed and expected frequencies. Learning Outcomes: 1.Knowledge & Understanding: By the end of the study-unit the student will be able to: - Understand the difference between sample statistics and population parameters; - Familiarize with different sampling distributions of sample means, proportions, difference of means and difference of proportions; - Familiarize with different ways of making statistical inference, mainly by computing confidence intervals and conducting hypothesis tests; - Use statistical software (SPSS and EXCEL) to conduct hypothesis tests. 2. Skills: By the end of the study-unit the student will be able to: - Conduct statistical inference about a population parameter using sample statistics; - Compute confidence interval for population means, proportions, difference of means, difference of proportions, variances and variance ratios; - Use computer software, particularly SPSS and EXCEL, to conduct statistical test including the One Sample t-test, Independent Samples t-test, Paired Samples t-test, Chi Squared test, Pearson Correlation test and the One-Way ANOVA test. Some time will be dedicated to the instruction and use of statistical modules in some widely used package like a commercial spreadsheet package. The extent and amount of material and time dedicated to this will naturally depend on the availability of human and computing resources. Main Text/s and any supplementary readings: Main Texts: - McClave J, Sincich T,. A first Course in Statistics (2018) - 12th Edition, Pearson. ISBN 13: 978-1-292-16541-7 Supplementary Readings: - Agresti A, Franklin C, Klingenberg B,. Statistics - The Art and Science of Learning from Data (2017) - 4th Edition, Pearson. ISBN 13: 978-0-321-99783-8 - Hogg R.V, Tanis E.A, Zimmerman D. L,. Probability and Statistical Inference (2015) - 9th Edition, Pearson. ISBN 13: 978-1-292 -06235-8 - Sullivan M. Statistics - Informed Decisions using Data (2018) - 5th Edition, Pearson Education. ISBN 13: 978-1-292 -15711-5 - Weiss N.A. Introductory Statistics (2016) - 10th Edition, Pearson. ISBN 13: 978-0-321 -98917-8. |
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| RULES/CONDITIONS | Before TAKING THIS UNIT YOU MUST TAKE SOR1211 | ||||||||
| ADDITIONAL NOTES | This study-unit is for students who have an 'A' Level in Mathematics. This study-unit is not for students taking Statistics & O.R. as one of the principal subject area. |
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| STUDY-UNIT TYPE | Lecture | ||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | Karl Lewis Nicole Borg |
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The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years. |
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