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Sampling methods

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Why does the same jar of sweets yield a different 'sample' depending on how you scoop it? Sampling is how you grab a fair handful from the jar. For example, imagine a jar of coloured sweets: if every sweet has the same chance of being picked, that's simple random; if you make sure each colour is represented, that's stratified; if you scoop whole pre-packed bags instead of individual sweets, that's cluster. In practice, this means the method is named by HOW the selection happens, not by how 'random' or fair the result looks.
• Probability: simple random (equal chance), systematic (every kth), stratified (within subgroups), cluster (whole groups), multistage. • Non-probability: convenience, quota, purposive, snowball. • Sampling frame = list of the population. • For example, a study of people who inject drugs has no accessible sampling frame, so it must use snowball sampling, reaching new participants through referrals from existing ones. • In practice, this means the sampling frame's existence (or absence) is often what decides which method is even possible. • Large national morbidity surveys, such as the Adult Psychiatric Morbidity Survey, use stratified sampling to guarantee proportionate representation of population subgroups. • A study's power is its ability to detect a true difference if one really exists, given its sample; a larger sample size generally increases power.
Stratified = sample within layers; Cluster = scoop whole groups; Snowball = friend-of-a-friend.

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