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Behavioural Surveillance Surveys - The Wisdom of Whores

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Table 7 : Summary <strong>of</strong> analysis procedures needed for different sampling approaches<br />

Prototype Sampling Design<br />

Weighted analysis required? Cluster analysis required?<br />

1. PPS with equal number No Yes, if design effect is ≠ 1<br />

<strong>of</strong> respondents selected<br />

from each cluster (includes<br />

segmentation method)<br />

2. PPS with unequal number <strong>of</strong> Yes, if sampling Yes, if design effect is ≠ 1<br />

respondents selected<br />

weights differ by a<br />

from each cluster<br />

factor <strong>of</strong> 3 or more<br />

3. EP with a fixed number Yes, if sampling Yes, if design effect is ≠ 1<br />

<strong>of</strong> respondents selected<br />

weights differ by a<br />

from each cluster<br />

factor <strong>of</strong> 3 or more<br />

4. EP with “take-all” No Yes, if design effect is ≠ 1<br />

respondents during equal<br />

time periods for each cluster<br />

PPS = Probability proportional to size<br />

EP = Equal Probability<br />

Another issue that comes up when cluster<br />

designs are used for sampling is how to deal<br />

with design effects in the analysis. When there<br />

is a design effect, it affects the standard error<br />

<strong>of</strong> the estimates, so normally a cluster analysis<br />

must performed. This issue is discussed<br />

further later in this Chapter. Table 7<br />

summarizes the different sampling approaches<br />

outlined in this guide, and categorizes them<br />

in terms <strong>of</strong> the need for weighted analysis<br />

and cluster analysis.<br />

Weighting the data<br />

To perform a weighted analysis, one must<br />

begin by calculating sampling probabilities for<br />

each sample cluster (each element in a given<br />

cluster will have the same probability for<br />

selection). Figure 6 provides the formulae<br />

for making these calculations. It includes<br />

some designs that were not included in<br />

Chapter 4, but which are described in<br />

appendix 3. Once you have calculated the<br />

sampling probability, the sampling weight can<br />

easily be obtained, since it is just the inverse<br />

<strong>of</strong> the sampling probability (i.e. one divided<br />

by the sampling probability). As will be<br />

discussed later in the chapter, it is best to also<br />

calculate standardized weights to be used<br />

during analysis, in order to avoid incorrect<br />

statistical results. Standard s<strong>of</strong>tware packages<br />

(such as SPSS or STATA) can then be used to<br />

perform weighted analysis. It will be noted<br />

that as sampling probabilities cannot be<br />

calculated when snowball sampling is used,<br />

formulae are not provided for data obtained<br />

using this sampling approach.<br />

60<br />

C H A PTER 5 B EHAV I OR A L S U R V EI L L A NC E S U R V EY S

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