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The University of Southampton

STAT6093 Survey Fundamentals

Module Overview

To provide an overview of basic sampling and estimation methods. One of the pre-requisites for STAT6091 and STAT6094

Aims and Objectives

Learning Outcomes

Learning Outcomes

Having successfully completed this module you will be able to:

  • Demonstrate knowledge and understanding of the basic methods in common use for sampling from finite populations, including the most common sampling designs, and how to estimate finite population parameters and how to assess the estimation errors


The course is divided into the following main topics: • Introduction: need for samples, terminology, notation, estimation strategy, survey errors, probability sampling • Simple random sampling (with and without replacement): probability functions, central limit theorem, bias of estimators, inclusion probabilities, standard errors, finite population correction, variance estimation, confidence intervals, proportions, domains, ratio estimation • Unequal probability sampling: Horvitz-Thompson estimator, design based inference • Stratified sampling: estimation, variance estimation, sample allocation, post-stratification • Systematic sampling: estimation, variance estimation • Multi-stage sampling: cluster sampling (equal and unequal size), estimation, variance estimation, design effects, sample size allocation

Learning and Teaching

Teaching and learning methods

Depending on feasibility, teaching may be delivered face to face intensively over a week, or online using a mixture of synchronous and asynchronous online methods, which may include lectures, workshop activities, exercises, and videos. A range of resources will also be provided for further self-directed study.

Independent Study70
Total study time100

Resources & Reading list

Lohr, S.L. (1999). Sampling Design and Analysis. 

Cochran, W. G. (1977). Sampling Techniques. 



MethodPercentage contribution
Coursework 100%


MethodPercentage contribution
Exam  (2 hours) 100%

Repeat Information

Repeat type: Internal & External


Costs associated with this module

Students are responsible for meeting the cost of essential textbooks, and of producing such essays, assignments, laboratory reports and dissertations as are required to fulfil the academic requirements for each programme of study.

In addition to this, students registered for this module typically also have to pay for:

Books and Stationery equipment

Recommended texts for this module may be available in limited supply in the University Library and students may wish to purchase reading texts as appropriate.

Please also ensure you read the section on additional costs in the University’s Fees, Charges and Expenses Regulations in the University Calendar available at

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