| CODE | SOR1220 | ||||||||||||||||||||
| TITLE | Statistical Computing | ||||||||||||||||||||
| UM LEVEL | 01 - Year 1 in Modular Undergraduate Course | ||||||||||||||||||||
| MQF LEVEL | 5 | ||||||||||||||||||||
| ECTS CREDITS | 6 | ||||||||||||||||||||
| DEPARTMENT | Statistics and Operations Research | ||||||||||||||||||||
| DESCRIPTION | (i) ELEMENTARY STATISTICS Introduction to the Science of Decision Making Under Uncertainty. Populations and Survey Sampling Descriptive Statistics and Frequency Distributions. Methods for Data Summary and Presentation Principles for Point and Interval Estimation Calculation of Sample Size Introduction to Hypothesis Testing Test on means and test on difference of two means Test on proportions and tests on difference of proportions Linear Regression and Correlation One-Way Analysis of Variance (ii) I. COMPUTATIONAL ISSUE Data Management and Use of Statistics Packages (SPSS and R) Computing and Programming Language Environments (MATLAB) Basic Programming Concepts - Creating Functions - Graphical Presentation of Results Operations from Linear Algebra - Vector and Matrix Operations - Solving Linear Equations - Factorization - Generalized Inverses for Matrices (Moore-Penrose) II. EXPLORATORY DATA ANALYSIS Frequency Distribution Plots and Displays Numerical and Graphical Forms of Presentation Display of Summary Statistics for Locations, Dispersion, Kurtosis and Skewness Measures Two-Dimensional Data Multivariate Data Plots III. STATISTICAL COMPUTING Work with Probability Distributions Descriptive Statistics Simulation and Sampling Statistical Tests and Confidence Intervals Linear Regression Contingency Tables Study-unit Aims: The main aim of this study-unit is that of familiarizing the students with the theoretical foundations and the practical framework underlying the analysis of any data set. Learning Outcomes: 1. Knowledge & Understanding By the end of the study-unit the student will be able to: - Identify the advantages and disadvantages of using different sampling strategies; - Derive sampling distributions of sample means, proportions, difference of means and difference of proportions; - Explain the role that the central limit theorem plays in working with means and proportions; - Demonstrate how to perform statistical analysis analytically and by using software; - Choose between using a parametric or a non-parametric test to perform hypothesis testing; - Interpret and analyse data that may be displayed in a two-way table; - Know the difference between the software packages used; - List the advantages and disadvantages of using different software packages. 2. Skills By the end of the study-unit the student will be able to: - Identify the best sampling method to use in a real-life setting; - Compute confidence interval for population means, proportions, difference of means and difference of proportions; - Calculate sample sizes under simple random sampling; - Perform hypothesis testing involving means and proportions; - Manipulate data using different software; - Conduct basic statistical analysis such as exploratory data analysis, hypothesis testing and fitting regression models using different software; - create computer programs using different software packages which allow the implementation of various statistical and mathematical optimization techniques. Main Text/s and any supplementary readings: Main Texts: - Triola, M. (2017) Elementary Statistics (13th Edition), Pearson - Freedman, D., Pisani, R. and Purves, R. (2007) Statistics (4th Edition), W. W. Norton & Company - Rumsey, D. J. (2016) Statistics for Dummies (2nd Edition) - Hahn, B. D. and Valentine D.T. (2020) Essential MATLAB for Engineers and Scientists, Elsevier - Green SB. And Salkind NJ. (2013) Using SPSS for Windows and Macintosh: Analyzing and Understanding Data (7th Edition), Pearson/Prentice Hall. Supplementary Texts: - Spiegelhalter, D. (2019) The Art of Statistics: Learning from Data, Pelican - Miller, I. and Miller, M. (2014) John E. Freund's Mathematical Statistics with Applications (8th Edition), Pearson. |
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| ADDITIONAL NOTES | Pre-requisite Qualification: Advanced Level Pure Mathematics | ||||||||||||||||||||
| STUDY-UNIT TYPE | Lecture | ||||||||||||||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | Monique Borg Inguanez Mark A. Caruana Fiona Sammut |
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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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