# EC122: Statistical Techniques A

12/15 CATS - Department of Economics
Summer Module
Spring Module

### Principal Aims

12 CATS

This module allows the students to become familiar with the basic concepts of statistics, including graphical analysis and simple calculations conducted on the data. It is intended to provide the students with basic data analysis skills as well as the foundations, necessary for the second year econometrics module.

15 CATS

This module allows the students to become familiar with the basic concepts of statistics, including graphical analysis and simple calculations conducted on the data. It is intended to provide the students with basic data analysis skills, to provide an introduction to conducting statistical analysis using advanced statistical package. as well as develop the foundations, necessary for the second year econometrics module.

### Principal Learning Outcomes

12 CATS

:...acquire the tools of quantitative methods necessary to study core and optional first and second year modules in economics for the single honours course in Economics.

:...develop further their techniques of statistical methods and statistical modelling;

:...generate an awareness and analysis of data and of data handling.

15 CATS

:...acquire the tools of quantitative methods necessary to study core and optional first and second year modules in economics.

:...develop further their techniques of statistical methods and statistical modelling;

:...generate an awareness and analysis of data and of data handling through the use of statistical software.

### Syllabus

12 CATS

Descriptive Statistics; Measures of location, dispersion, and asymmetry. Measurement of inequality, the Lorenz curve and the Gini coefficient; Probability theory; The concept of probability, events, The rules of probability. Independent events. Random variables and probability distributions. Discrete random variables: Bernoulli, binomial, Poisson. Expectations and variance. Continuous random variables: uniform, Gaussian (‘Normal’) distributions; The distinction between risk and uncertainty. Bivariate probability distributions; joint, marginal and conditional probability distributions; covariance and correlation. Statistical Inference; Sampling and sampling distributions for means and proportions. Applications of the t, ch-square and F distributions; Point estimation and confidence intervals; Hypothesis testing. Type I and Type II errors. Significance level and power of a test; Two variable correlation and regression. Testing for dependence between two variables.

15 CATS

Descriptive Statistics; Measures of location, dispersion, and asymmetry. Probability theory; The concept of probability, events, The rules of probability. Independent events. Random variables and probability distributions. Discrete random variables: Bernoulli, binomial, Poisson. Expectations and variance. Continuous random variables: uniform, normal distributions; The distinction between risk and uncertainty. Bivariate probability distributions; joint, marginal and conditional probability distributions; covariance and correlation. Statistical Inference; Sampling and sampling distributions for means and proportions. Applications of the t, chi-square, and F distributions; Point estimation and confidence intervals; Hypothesis testing. Type I and Type II errors. Significance level and power of a test; Two variable correlation and regression. Testing for dependence between two variables.

### Context

Core Module
V1L8 - Year 1
Optional Core Module
R9L1 - Year 1, R3L4 - Year 1, R4L1 - Year 1, L1L8 - Year 1, R1L4 - Year 1
Pre or Co-requisites
At least a grade A in GCSE Mathematics, or equivalent.

### Assessment

Assessment Method
12 CATS - Coursework (30%) + Online Examination (70%) 15 CATS - Coursework (40%) + Online Examination (60%)
Coursework Details
12 CATS: Online Examination (70%) , Set of 6 problem sets (6%) , Test 1 (12%) , Test 2 (12%)
15 CATS: 1200 word Statistical Project (20%) , 5 x problem sets (10%) , Online Examination (60%) , Test (10%)
Exam Timing
Summer

### Exam Rubric

12 CATS - Time Allowed: 1.5 Hours, plus 15 minutes reading time.

There are TWO sections in this paper. Answer ALL TEN questions in Section A using the Excel spreadsheet (40 marks total) and answer ALL FOUR questions in Section B inside this document (60 marks total).

Approved pocket calculators are allowed. Statistical tables and a formula sheet are provided.

You should not submit answers to more than the required number of questions. If you do, we will mark the questions in the order that they appear, up to the required number of questions in each section.

15 CATS - Time Allowed: 1.5 Hours, plus 15 minutes reading time.

There are TWO sections in this paper. Answer ALL TEN questions in Section A using the Excel spreadsheet (40 marks total) and answer ALL FOUR questions in Section B inside this document (60 marks total)..

Approved pocket calculators are allowed. Statistical tables and a formula sheet are provided.

Read carefully the instructions on the answer book provided and make sure that the particulars required are entered on each answer book.

Previous exam papers can be found in the University’s past papers archive. Please note that previous exam papers may not have operated under the same exam rubric or assessment weightings as those for the current academic year. The content of past papers may also be different.