# EC122: Statistical Techniques A

• #### Subham Kailthya

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
L1L8 - Year 1, R9L1 - Year 1, R3L4 - Year 1, R4L1 - 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: 2 hours

There are TWO sections in this paper. Answer ALL TEN questions in Section A via the link to QMP (40 marks total). QMP will be open for 60 MINUTES ONLY from the beginning of the exam. 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.

15 CATS - Time Allowed: 2 hours