1. Senturia et al. (1994) describe a survey taken to study how many children hav

Question

1. Senturia et al. (1994) describe a survey taken to study how many children have access to guns in their households. Questionnaires were distributed to all parents who attended selected clinics in the Chicago area during a one-week period for well or sick child visits. Suppose that the quantity of interest is percentage of the households with guns. Describe why this is a cluster sample. What is the psu? What is the ssu? 2. A lanquage school owner takes an SRS of 7 of the 70 Introductory Spanish

Explanation / Answer

In cluster sampling, we do not deal with individual units, in this case, households. Rather, we identify cluster, which in itself is a larger collection of these units and which are mutually distinct from each other. That is, two or more clusters never overlap.

Here the sampling technique is quite clever, in the sense that we are not going to the clusters, thus reducing the cost. Rather, we are interviewing them at a place where they are coming in, in this case, health clinics. By doing so, it is guaranteed that clusters do not overlap, because it is highly unlikely that a parent will go to two different clinics in the same week related to a sick child. Secondly, we generally expect the parents to go to the clinic in proximity to their physical location. So by carefully selecting the clinics in different geographies, we can sample the population quite effectively.

Due to these reasons, this is cluster sampling, where a primary sampling unit (psu) denotes the people (households) who go to a particular clinic in a week. The secondary sampling unit (ssu) denotes these individual households, and ultimately we are capturing the information of whether these children have access to guns

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