<\/span><\/h2>\nWe\u2019ll look at the differences between these three types of probability sampling through a simple scenario.<\/p>\n
Scenario:<\/strong> You want to survey students across all schools in Chicago about their study habits. There are 200 schools, with roughly 500 students each (~100,000 students total).<\/p>\n\n\n\nMethod<\/strong><\/td>\nHow it works<\/strong><\/td>\nPros & Cons<\/strong><\/td>\nWorked Example<\/strong><\/td>\n<\/tr>\n<\/thead>\n\n\nSimple Random Sampling (SRS)<\/strong><\/td>\n| Every student has an equal, independent chance of selection (e.g., random number generator)<\/td>\n | \u2705 Unbiased, easy to analyze \n\u274c Needs a full list of all students; expensive\/impractical to reach scattered individuals<\/td>\n | You get a master list of all 100,000 students (from a city education database) and use a random number generator to pick 1,000 students directly. They could be from any school, any class<\/td>\n<\/tr>\n | \nStratified Random Sampling<\/strong><\/td>\nDivide population into homogeneous subgroups (strata), then randomly sample from each<\/em> stratum<\/td>\n\u2705 Guarantees representation of all subgroups; more precise \n\u274c Requires detailed population data; more complex setup<\/td>\n | You divide students into strata by grade level<\/strong> (Grade 6, 7, 8…12). From each grade, you randomly select 100 students. So you ensure every grade is proportionally represented in your final sample of 1,000<\/td>\n<\/tr>\n\nCluster Sampling<\/strong><\/td>\nDivide population into clusters (often geographic\/organizational), randomly select whole clusters<\/em>, then sample within them<\/td>\n\u2705 Cost-effective for large, spread-out populations; no need for a full individual list \n\u274c Higher error if clusters aren’t internally diverse<\/td>\n | You randomly select 10 out of the 200 schools<\/strong> (clusters). Then you survey all students (or a random sample of students) within<\/em> just those 10 schools. So you never need a list of all 100,000 students, only a list of the 200 schools<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/span>Key difference between stratified and cluster sampling<\/span><\/h3>\n\n- Stratified = divide into groups that are different from each other<\/em> but similar within<\/em>, then sample from every group<\/em>.<\/li>\n
- Cluster = divide into groups that are ideally similar to each other<\/em> (mini-versions of the population), then sample only some whole groups<\/em>.<\/li>\n<\/ul>\n
\u00a0<\/strong><\/p>\n<\/span>Key takeaway from the example:<\/span><\/h3>\n\n- Simple random sampling needed a list of individual students<\/em>: the hardest data to get.<\/li>\n
- Stratified needed students grouped by grade<\/em>: moderate effort, but ensures every grade is represented.<\/li>\n
- Cluster needed only a list of schools<\/em>: easiest to execute, but if some schools are very different from others (e.g., elite vs. under-resourced), your results could be skewed unless you pick enough clusters.<\/li>\n<\/ul>\n
<\/p>\n <\/span>Frequently Asked Questions<\/span><\/h2>\n<\/span>Why would I use cluster sampling instead of simple random sampling?<\/span><\/h3>\nCluster sampling is far more practical and cost-effective when the population is large and geographically dispersed, since it only requires a list of clusters (such as schools or regions) rather than a complete list of every individual.<\/p>\n <\/span>What is the design effect, and why does it matter?<\/span><\/h3>\nThe design effect (DEFF) measures how much cluster sampling increases sampling error compared to simple random sampling of the same size. Researchers must inflate their planned sample size by the design effect to maintain adequate study power.<\/p>\n <\/span>How many clusters do I need?<\/span><\/h3>\nThere is no single fixed number, but precision and external validity generally improve with more independently selected clusters. Selecting only one or two clusters, even with many individuals within them, severely limits generalizability.<\/p>\n <\/span>Can I analyze cluster-sampled data with ordinary statistical tests?<\/span><\/h3>\nStandard tests that assume independent observations can produce misleadingly small standard errors with clustered data. Multilevel models or clustered standard errors are recommended to properly account for the non-independence introduced by the study design.<\/p>\n This article was originally published on July 29, 2024, and updated on July 17, 2026.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":" | | | | | | | | | | |