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| Within a stratified sample, allocation can be designed as: | '''Equal allocation''' is taking the same number from each stratum. |
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| * equal from each stratum * proportional to the size of each stratum * an optimization of a key measure's margin of error against cost * if cost is assumed fixed per unit, it is a Neyman allocation * if cost is assumed variable, it is an optimal allocation * note that, if all measures are equally varied, proportional allocation is essentially the same as a Neyman allocation |
'''Proportional allocation''' is taking a number proportional to the size of that stratum. '''Neyman allocation''' is an optimization of a key measure's margin of error against cost. It assumes a fixed cost per contact. On the other hand, if cost is assumed variable, it becomes an '''optimal allocation'''. Note that, if all measures are equally varied, proportional allocation is essentially the same as a Neyman allocation. ---- == Sampling Methods == '''Simple Random Sampling''' ('''SRS''') is essentially sorting randomly and taking the first N cases. '''Stratified Random Sampling''' ('''STSRS''') is the above process applied to a stratified sample, using proportional allocation. '''Systematic sampling''' is any form of sampling that takes every Nth case from a list. The key is then how the list is ordered. |
Survey Sampling
Contents
Sample Type
Propability sampling
All members of a population have a non-zero chance to be contacted in a survey instrument. Traditional statistics rely on this assumption.
Examples:
- Administrative surveys
- Surveys with random recruitment (as by random digit dialing)
Non-probability sampling
Some members of a population are certain to be contacted or not be contacted.
Examples:
- Panel surveys
- River surveys (i.e. surveys with open recruitment, as by banner ads)
Survey Allocation
Allocation is the distribution of sample size across domains.
Designing Domains
The key considerations are:
- are some splits more important to others?
- if studying military recruitment, then sex/gender is a strong split
- what splits will be used for reporting? + what is the expected response rate?
- if too few responses are expected from a domain, then splits should be reconsidered
- what is the desired margin of error?
Stratified Allocation
Stratification is the process of dividing the population into discrete stratum, and then sampling from the strata.
Equal allocation is taking the same number from each stratum.
Proportional allocation is taking a number proportional to the size of that stratum.
Neyman allocation is an optimization of a key measure's margin of error against cost. It assumes a fixed cost per contact.
On the other hand, if cost is assumed variable, it becomes an optimal allocation.
Note that, if all measures are equally varied, proportional allocation is essentially the same as a Neyman allocation.
Sampling Methods
Simple Random Sampling (SRS) is essentially sorting randomly and taking the first N cases.
Stratified Random Sampling (STSRS) is the above process applied to a stratified sample, using proportional allocation.
Systematic sampling is any form of sampling that takes every Nth case from a list. The key is then how the list is ordered.