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Research and Statistical Tips
Choosing Random Samples, Part 2
The most common question about random samples for
pastoral planning is "how many do I need?" This question is considerably more
difficult than one might think because of the formula to calculate sample size
for a finite population. Not only is the formula complex but the results are
somewhat counterintuitive. For example, let's presume that we are surveying each
household in a 3000 household parish. For a certain level of precision 1017
households need to be randomly selected -- about 33% of the parish. Now what if
we are surveying a parish of 300 households: how many households are needed? One
might be tempted to guess about 33% or 100 households. But the formula gives a
result of 251 households, or about 84%.Fortunately the Hartford
Institute for Religion Research has provided practitioners with some good
guidelines that avoid formulas. They recommend that parishes of less than 300
households select everyone, those with 300 to 350 should randomly select 75% of
parishioners, those with 350 to 700 should select 50%, those with 700 to 1000
should select 33%, and those with more than 1000 households should randomly
select 25% of parishioners. These guidelines specify parish size in households when one is
surveying the household, i.e. one questionnaire per household. When one is
interested in surveying individual parishioners, the same guidelines can be used
but substitute the word "parishioners" for
"households." Next: Choosing Random Samples, Part 3: How to select the
sample. Archived Tips
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