# Study-Unit Description

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CODE SOR2250

TITLE Sampling 1

LEVEL 02 - Years 2, 3 in Modular Undergraduate Course

ECTS CREDITS 4

DEPARTMENT Statistics and Operations Research

DESCRIPTION - The Sampling Problem and The Sample Survey.
- Simple Random Sampling.
- Element Sampling Designs:
- More on Simple Random Sampling;
- Bernoulli Sampling;
- Poisson Sampling;
- Systematic Sampling;
- Proportional to Size Sampling;
- The Ratio Estimator and its Properties;
- Estimation through the use of Auxiliary Variables;
- Stratification.
- Cluster Sampling:
- Single-Stage Cluster Sampling;
- Two-Stage Cluster Sampling;
- The Design Effect.

Study-unit Aims:

The main aims of this study-unit are that of introducing the main concepts and methods of sampling and for our students to gain experience in conducting surveys.

Learning Outcomes:

1. Knowledge & Understanding
By the end of the study-unit the student will be able to:

- Explain the need to resort to taking samples;
- Identify the target population, the sampling frame and the method of sampling that should be used in a study;
- Construct a questionnaire;
- Explain the roles that the inclusion probability, the Horvitz Thompson estimator and auxiliary information play in obtaining suitable total estimators;
- Apply the theoretical knowledge gained on different sampling strategies to practical situations;
- Select samples and perform statistical analysis based on different sampling designs using statistical software;
- Compare and contrast a number of sampling designs.

2. Skills
By the end of the study-unit the student will be able to:

- Set up and administer a questionnaire and perform the relevant tests on the gathered data;
- Estimate sample sizes under different sampling designs;
- Use the material learnt as a foundation to understand the theoretical and practical importance of sampling designs which have not been covered in this study-unit.

Main Text/s and any supplementary readings:

- Cochran, W.G. (1977) Sampling Techniques, Wiley.
- Sarndal, C., Swensson, B., Wretman, J. (1993) Model Assisted Survey Sampling, Springer-Verlag.
- Hansen, M.H., Hurwitz, W.N., Madow, W.G. (1953) Sample Survey Methods, Vol I,II. Wiley.
- Kish, L. (1965) Survey Sampling, Wiley.
- Lohr, Sharon L. (1999) Sampling: Design and Analysis, Duxbury Press.
- Hox. J., De Leeuw E., Dillman D. (2008) International Handbook of Survey Methodology, First Edition, Lawrence Erlbaum Associates Inc.

RULES/CONDITIONS While TAKING THIS UNIT YOU MUST TAKE SOR2211 AND TAKE SOR2221

STUDY-UNIT TYPE Lecture and Tutorial

METHOD OF ASSESSMENT
 Assessment Component/s Assessment Due Resit Availability Weighting Presentation SEM2 No 10% Project SEM2 No 20% Computer-based Examination (2 Hours) SEM1 Yes 70%

LECTURER/S Fiona Sammut

The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints.
Units not attracting a sufficient number of registrations may be withdrawn without notice.
It should be noted that all the information in the description above applies to study-units available during the academic year 2020/1. It may be subject to change in subsequent years.

https://www.um.edu.mt/course/studyunit