Kelly Mears

Selection Bias

A sample distorted because inclusion in it was never random.

Method2 min read244 words8 out · 6 in
also calledSampling bias

Selection bias is what happens when the process that put items into a sample is correlated with the thing you are trying to measure, so the sample no longer represents the population it is supposed to stand in for. Survivorship Bias is one shape of it — inclusion determined by having survived — but the family is broader.

Self-selection distorts a survey when the people who bother to respond differ systematically from the people who do not: users who file a bug report are, by definition, the ones patient enough to file one. Attrition distorts a longitudinal study when the participants who drop out share a trait related to the outcome, so the group that remains looks healthier, happier, or more successful than the group that started. Collider bias is the subtlest form: conditioning analysis on a variable that is itself a common effect of two other variables can manufacture a correlation between causes that have no real relationship, purely from the act of selecting on their shared consequence.

The counterintuitive consequence is that a larger biased sample is not safer than a smaller one — it is worse, because it produces a narrower confidence interval around the wrong number, which reads as more certainty rather than less. Checking for selection effects means asking how a record ends up observed at all, not just what the observed records say, in the same spirit as Ground Truth and the diagnostic habit behind Sensitivity and Specificity.

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