Course co-ordinator(s): Panagiota Birmpa (Edinburgh), Dr Wei Lin Teoh (Malaysia), Fatemeh Mohammad (Dubai).
Aims:
- To develop an understanding of standard statistical techniques applied in the sciences including confidence intervals, hypothesis tests, and regression models
- To develop proficiency in applying these methods in the analysis of experimental data using the statistical software package Minitab.
Detailed Information
Course Description: Link to Official Course Descriptor.
Pre-requisite course(s): F17XA Mathematics for Engineers and Scientists 1 & F17XB Mathematics for Engineers and Scientists 2 .
Location: Dubai, Edinburgh, Malaysia.
Semester: 2.
Syllabus:
Data Summary: Plots, Histograms, Mean, Median, Standard Deviation, Quartiles
Probability: Rules of Probability, Conditional Probability, Bayes Theorem, Independence, Tree diagrams
Random variables and special distributions: Discrete and continuous random variables, expected value and variance, Binomial, Poisson, Geometric, Uniform, Exponential, and Normal random variables.
Sampling distributions and the Central Limit theorem with applications
Parameter estimation: Introduction to Method of Moments estimation, Maximum Likelihood estimation, and Method of Least Squares Estimation with examples
Confidence Intervals for: Population mean, population variance, population proportion, and two-sample confidence intervals for difference between population means and ratio of population variances.
Hypothesis Testing: Theory of classical fixed level hypothesis testing, P-values and their interpretation, standard hypothesis tests for mean, variance, population proportion, Poisson mean, difference between population means for independent populations and for paired data, relationship between testing and confidence intervals.
Regression: Simple linear regression, model fitting and checking, confidence intervals for parameter estimates, correlation, introduction to multiple regression
Chi-square tests: Goodness of Fit, Contingency tables.
SCQF Level: 8.
Credits: 15.
Other Information
Help: If you have any problems or questions regarding the course, you are encouraged to contact the course leader.
Canvas: further information and course materials are available on Canvas