Core Course
BAN601- Quantitative Methods for Business Analytics
Course Unit Code: BAN601
Type Of Unit: Core
Level of Course Unit: Graduate
Year of Study: 1
Semester: Semester 1
Number of ECTS Credits: 10
Class Contact Hours: 12
Mode of Delivery
Distance Learning
Prerequisites
None
Course Objectives
The course discusses a number of quantitative methods from Discrete Mathematics and Statistics which is considered core knowledge for the students studying Business Analytics and Artificial Intelligence at the MSc level.
From the Discrete Mathematics perspective the course will start from the very basic contents, propositional logic, introduction to proofs, Boolean Algebra and set theory. Then we will move into counting techniques, permutations and combinations and we will introduce some basic aspects of Discrete probability. Finally we will introduce more advanced topics, like algorithms and their complexity, induction and recursion algorithms, tress and graphs.
From the Statistics perspective we will introduce basic definitions of exploratory data analysis (measures of location and measures of spread) and we will discuss important type of plots that can be used for data discussion and inference. Also building on the introduction for Set theory and Discrete probability in the Discrete Mathematics part we will discuss Discrete and Continuous distributions, Conditional and joint distributions, Sampling distributions and then we will move to inferential Statistics, that is, point and interval estimation, hypothesis testing and Regression.
The course will close with a brief introduction to Multivariate Statistics which will help the students move into the Modern data analysis, machine learning courses which will follow.
Throughout the course, the students will see the theoretical and the practical aspects of quantitative methodology. In addition to the toy (small) dataset example we will use for the in class learning, we will also have the opportunity to apply these methods in larger (real) datasets by using the R programming language.
By the end of the course we expect the students to be able to discuss the theoretical aspects of the topics discussed as well as being able to answer basic data analytics and statistical inference research questions to real data.
Learning Outcomes
1: Understand the basics of exploratory data analysis and the use of statistical graphs
2: Gain familiarity with R Statistical programming language and be able to use it to analyse big datasets
3: Understand the basics of Probability theory
4: Ability to apply appropriate methodology to analyze real data and make statistical inference.
5: Ability to apply appropriate methodology to analyze real data and make statistical inference.
6: Understand the basics of propositional logic and be able to construct basic mathematical sentences and proofs.
7: Understand the basics of propositional logic and be able to construct basic mathematical sentences and proofs
Course Content
1st week: Introductory Statistics (mean, variance, histograms, boxplots) and Introduction logic and proof
2nd week: Introduction to Set theory and Introduction to Probability and introduction to functions/sequences/sums and matrices.
3rd week: Discrete and Continuous Distributions
4th week: Conditional probability and Joint probability/ Bayes theorem and counting techniques
5th week: Sampling distributions., point and interval estimation
6th week: Introduction to hypothesis testing – Hypothesis testing on one sample
7th week: Hypothesis testing on 2 samples
8th week: Hypothesis testing on 3 or more samples (ANOVA – Contingency Tables – Goodness of fit tests)
9th week: Regression/Correlation
10th week: Induction and Recursion
11th week: Algorithms and their complexity
12th week: Introduction to Graphs
Course Features
Weekly self-assessment activities :
On a weekly basis, students will have the possibility to engage in self-assessment activities to judge their own level of understanding of the concepts covered so far. The weekly self-assessment activities provide immediate feedback.
Weekly interactive activities (20%)
Weekly interactive activities account for 20% of the grade, and will be graded almost instantly by the instructor with appropriate feedback.
Project (30%) :
Students will be provided with a real dataset and a number of research questions and they will be asked to provide a solution. Deliverable will be the code and a report written as a provision from a consultant to a client.
Readings
Rosen (2018) Discrete Mathematics and it’s applications, McGraw Hill, 7th Edition
Devore and Berk (2012) Modern Mathematical Statistics with Applications, Springer