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Stratified Sampling

Consider a set of N types of job within an organisation, which has a total of M employees. Let tex2html_wrap_inline2229 where tex2html_wrap_inline2231 be the number of people who have a job of type j with all people doing the same type of job getting paid the same salary. Then, clearly;

displaymath2221

If interested in the average salary paid and if M is very large the average may be approximated as follows;

displaymath2222

where we sample a total of m people from the organisation and tex2html_wrap_inline2239 is the salary paid to the tex2html_wrap_inline2241 person we sampled. Ordinary random sampling would involve picking the m people uniformly from the total population of M people in the organisation. However, another method would be to ensure that the probability of choosing a person from job type j is the number of people doing job type j divided by the total number of people, M. This latter idea is just stratified sampling and is an important and well known sampling technique.



Cathal Walsh
Sat Jan 22 17:09:53 GMT 2000