Unequal sampling probability is one of the main differences between RDS samples and simple random samples. In this simulation study we had the advantage of knowing precisely the degree to which each participant was connected to others in the population. Standard weighted regression was undertaken using the Volz-Heckathorn (RDS-II) weights [31] from the RDS package [32]. These are inverse probability weights, based on the reported network degree (assumed to be a proxy for the sampling probability) and defined as:
where di is the reported network size.
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