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Behavioural Surveillance Surveys - The Wisdom of Whores

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Figure 6 : Procedures for calculating sampling probabilities for sample elements<br />

(P i<br />

) chosen using the various prototype sub-population survey sample designs<br />

(continued)<br />

5. Selection <strong>of</strong> schools PPS, classes with<br />

equal probability, and all students in<br />

sample classes chosen for sample<br />

P ij<br />

= (m * M i<br />

/M) * (b/B i<br />

)<br />

Where:<br />

P ij<br />

= probability that a sub-population member<br />

in class j <strong>of</strong> school i was chosen for the<br />

survey;<br />

m = number <strong>of</strong> sample schools chosen;<br />

M i<br />

= measure <strong>of</strong> size for school i;<br />

M = total measure <strong>of</strong> size for schools in the<br />

survey universe (M = ΣMi);<br />

b = number <strong>of</strong> classes chosen for the sample;<br />

and<br />

B i<br />

= total number <strong>of</strong> classes in sample school i.<br />

Note: This design results in a non-self-weighting<br />

sample, and it will thus be necessary to apply sampling<br />

weights during analysis.<br />

6. Selection <strong>of</strong> schools PPS and students<br />

sub-sampled at randomly chosen<br />

interview sites<br />

P ij<br />

= (m * M i<br />

/M) * n i<br />

/N i<br />

Where:<br />

P ij<br />

= probability that a sub-population member<br />

in class j <strong>of</strong> school i was chosen for the<br />

survey;<br />

m = number <strong>of</strong> sample schools chosen;<br />

M i<br />

= measure <strong>of</strong> size for school i;<br />

M = total measure <strong>of</strong> size for schools in the<br />

survey universe (M = ΣMi);<br />

n i<br />

= number <strong>of</strong> sub-population members<br />

chosen in cluster i; and<br />

N i<br />

= total number <strong>of</strong> sub-population<br />

members in the cluster i.<br />

7. Household surveys <strong>of</strong> youth, clusters<br />

chosen with PPS, constant number <strong>of</strong><br />

youth chosen per cluster at second stage<br />

using segmentation method:<br />

P i<br />

= (m * M i<br />

/M) * 1/S i<br />

= m * C/M<br />

Where:<br />

M = number <strong>of</strong> sample clusters chosen;<br />

M i<br />

= measure <strong>of</strong> size for the ith cluster;<br />

M = total measure <strong>of</strong> size for the survey<br />

universe (M = ΣMi);<br />

S i<br />

= number <strong>of</strong> segments created in the ith<br />

cluster; and<br />

C = standard (i.e., constant) segment size.<br />

Note: Since this design results in a self-weighting<br />

sample, the application <strong>of</strong> sampling weights during<br />

analysis is not required.<br />

8. Household surveys <strong>of</strong> youth, clusters<br />

chosen with PPS, constant number <strong>of</strong><br />

youth chosen per cluster at second stage<br />

using a random walk method:<br />

P I<br />

= (m * M i<br />

/M) * k/N i<br />

Where:<br />

M = number <strong>of</strong> sample clusters chosen;<br />

M i<br />

= measure <strong>of</strong> size for the ith cluster;<br />

M = total measure <strong>of</strong> size for the survey<br />

universe (M = ΣMi);<br />

k = constant number <strong>of</strong> households chosen<br />

per cluster; and<br />

N i<br />

= total number <strong>of</strong> households in the ith<br />

cluster.<br />

Note: This design results in a non-self-weighting sample,<br />

and it will thus be necessary to apply sampling weights<br />

during analysis.<br />

Note: This design results in a non-self-weighting<br />

sample, and it will thus be necessary to apply sampling<br />

weights during analysis.<br />

62<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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