Lesson plan
Poisson sampling
In survey methodology, Poisson sampling (sometimes denoted as PO sampling ) is a sampling process where each element of the population is subjected to an independent Bernoulli trial which determines whether the element becomes part of the sample. Each element of the population may have a different probability of being included in the sample ( \pi_i ). The probability of being included in a sample during the drawing of a single sample is denoted as the first-order inclusion probability of that element ( p_i ). If all first-order inclusion probabilities are equal, Poisson sampling becomes equivalent to Bernoulli sampling, which can therefore be considered to be a special case of Poisson sampling. The name conveys that the number of samples leads to a Poisson binomial distribution, which can approximate the Poisson distribution (via Le Cam's theorem).
Article summary
In survey methodology, Poisson sampling (sometimes denoted as PO sampling ) is a sampling process where each element of the population is subjected to an independent Bernoulli trial which determines whether the element becomes part of the sample. Each element of the population may have a different probability of being included in the sample ( \pi_i ). The probability of being included in a sample during the drawing of a single sample is denoted as the first-order inclusion probability of that element ( p_i ). If all first-order inclusion probabilities are equal, Poisson sampling becomes equivalent to Bernoulli sampling, which can therefore be considered to be a special case of Poisson sampling. The name conveys that the number of samples leads to a Poisson binomial distribution, which can approximate the Poisson distribution (via Le Cam's theorem).
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.